Polar Coordinates

In two dimensions, Cartesian coordinates specify the location of a point using horizontal and vertical distances from the origin. However, another useful coordinate system is the polar coordinate system, which locates by its distance from the origin and the angle it makes with the positive -axis.

Cartesian Coordinates

  • Cartesian coordinate system is based on a grid of horizontal and vertical lines.
  • is a directed distance from the -axis (positive values are right and negative values are left). The -coordinate of a point is a horizontal location.
  • is a directed distance from the -axis (positive values are up and negative values are down). The -coordinate of a point is a vertical location.

Polar Coordinates

  • The polar coordinate system is based on a grid of circles centered at the origin (also called the pole) and lines through the origin.
  • is the measure of an angle in standard position whose terminal ray gives the direction of movement from the origin for the polar point.
  • is a directed distance of a point from the origin in the direction of the terminal ray of an angle in standard position. Positive values of imply forward movement along the terminal ray and negative values of imply movement in the opposite direction of the terminal ray.

Defining the Polar Coordinate System

To establish the polar coordinate system:
  1. Fix a point , called the pole (or origin).
  2. Draw an initial ray from , called the polar axis (aligned with the positive -axis).
  3. Each point in the plane is assigned polar coordinates , where:
    • is the directed distance from to .
    • is the directed angle, measured counterclockwise from the polar axis to the line segment .

Conversion Between Polar and Cartesian Coordinates

To relate polar and Cartesian coordinates, place the pole at the origin and the polar axis along the positive -axis.

From Polar to Cartesian:

From Cartesian to Polar:

Note: Be cautious when finding , as the location of affects its quadrant.
Unlike Cartesian coordinates, polar coordinates are not unique as many combinations of and can be used to represent the same polar point.
  • If is added or subtracted from any angle (one additional revoltion on the circle is made) the new polar coordinate cannot be distinguished graphically from the old polar coordinate.
  • If is added or subtracted from any angle (a half revoltion on the circle is made) and the radius is multiplied by (movement will be in the opposite direction) the new polar coordinate cannot be distinguished graphically from the old polar coordinate.

Converting Equations Between Coordinate Systems

To convert a Cartesian equation to polar form, replace and using and .
Example: Convert to polar form.
Conversely, converting a polar equation to Cartesian form requires algebraic manipulation and trigonometric identities.

Graphing Polar Equations

Plotting Points

To graph a polar equation, calculate for different values of and plot the corresponding points.

Using Symmetry

Polar graphs often exhibit symmetry, simplifying the sketching process. If a substitution produces an equivalent equation, the graph has the following symmetry:
  1. Line : Replace with or .
  2. Polar Axis ( -axis): Replace with or .
  3. Pole (Origin): Replace with or .

Example

The sine function is periodic, so to obtain a full range of -values, consider values of in the interval , as shown in the table below.
theta 0 (pi)/(6) (pi)/(3) (pi)/(2) (2pi)/(3) (5pi)/(6) pi (7pi)/(6) (3pi)/(2) (11 pi)/(6) 2pi r 0 2 2sqrt3 4 2sqrt3 2 0 -2 -4 -2 0
By plotting these points, it appears that the graph is a circle of radius whose center is at the point , as shown in the figure below.
The graph of a polar equation is symmetric with respect to the following when the given sbstitution yields an equivalent equations.
Symmetry with Respect to the Line
Symmetry with Respect to the Polar Axis
Symmetry with Respect to the Pole
'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="345.906438pt" height="335.112901pt" viewBox="0 0 345.906438 335.112901" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-04T13:15:57.472443</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 335.112901 
L 345.906438 335.112901 
L 345.906438 0 
L 0 0 
L 0 335.112901 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 23.950201 317.957369 
L 326.350201 317.957369 
L 326.350201 15.557369 
L 23.950201 15.557369 
L 23.950201 317.957369 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 324.611401 166.757369 
L 315.161401 170.537369 
L 317.051401 166.757369 
L 324.460201 166.757369 
L 324.460201 166.757369 
L 317.051401 166.757369 
L 315.161401 162.977369 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 212.950201 166.757369 
C 212.950201 158.71971 210.386552 150.88779 205.633807 144.405864 
C 200.881062 137.923938 194.182531 133.123839 186.51688 130.706868 
C 178.851229 128.289898 170.61089 128.379789 162.999789 130.96341 
C 155.388688 133.547031 148.796465 138.492115 144.186253 145.07618 
" clip-path="url(#p329f3c4cc6)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_5">
    <path d="M 144.020526 145.266018 
L 148.630661 134.237389 
L 149.986695 138.431837 
L 151.643963 136.533454 
L 151.643963 136.533454 
L 149.986695 138.431837 
L 154.325812 139.209196 
z
" clip-path="url(#p329f3c4cc6)"/>
   </g>
   <g id="patch_6">
    <path d="M 225.550201 166.757369 
C 225.550201 161.616149 224.76353 156.505065 223.217535 151.601797 
C 221.67154 146.698528 219.384346 142.060557 216.435464 137.849116 
" clip-path="url(#p329f3c4cc6)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 216.301646 137.635582 
L 224.857358 144.169693 
L 220.583804 144.46868 
L 221.78816 146.390488 
L 221.78816 146.390488 
L 220.583804 144.46868 
L 218.451329 148.184215 
z
" clip-path="url(#p329f3c4cc6)"/>
   </g>
   <g id="text_1">
    <!-- $(-r, \, \theta)$ -->
    <g transform="translate(49.205613 65.550748) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMSY10-0" d="M 4218 1472 
C 4326 1472 4442 1472 4442 1600 
C 4442 1728 4326 1728 4218 1728 
L 755 1728 
C 646 1728 531 1728 531 1600 
C 531 1472 646 1472 755 1472 
L 4218 1472 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-72" d="M 2490 2612 
C 2291 2574 2189 2433 2189 2293 
C 2189 2139 2310 2088 2400 2088 
C 2579 2088 2726 2242 2726 2433 
C 2726 2638 2528 2816 2208 2816 
C 1952 2816 1658 2701 1389 2312 
C 1344 2650 1088 2816 832 2816 
C 582 2816 454 2625 378 2484 
C 269 2254 173 1871 173 1839 
C 173 1814 198 1782 243 1782 
C 294 1782 301 1788 339 1935 
C 435 2318 557 2689 813 2689 
C 966 2689 1011 2580 1011 2395 
C 1011 2254 947 2005 902 1807 
L 723 1118 
C 698 996 627 709 595 594 
C 550 428 480 128 480 96 
C 480 6 550 -64 646 -64 
C 717 -64 838 -19 877 109 
C 896 160 1133 1124 1171 1271 
C 1203 1411 1242 1546 1274 1686 
C 1299 1775 1325 1878 1344 1961 
C 1363 2018 1536 2331 1696 2472 
C 1773 2542 1939 2689 2202 2689 
C 2304 2689 2406 2670 2490 2612 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-12" d="M 2835 3200 
C 2835 3850 2630 4480 2106 4480 
C 1210 4480 256 2615 256 1216 
C 256 923 320 -64 992 -64 
C 1862 -64 2835 1756 2835 3200 
z
M 896 2304 
C 992 2679 1126 3214 1382 3665 
C 1594 4047 1818 4352 2099 4352 
C 2310 4352 2451 4174 2451 3564 
C 2451 3334 2432 3017 2246 2304 
L 896 2304 
z
M 2202 2113 
C 2042 1490 1907 1088 1677 687 
C 1491 363 1267 64 998 64 
C 800 64 640 217 640 846 
C 640 1260 742 1693 845 2113 
L 2202 2113 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(112.768235 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(154.019412 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(214.3254 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(262.494907 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $(r, \, \pi - \theta)$ -->
    <g transform="translate(43.986461 83.190748) scale(0.15 -0.15)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(76.531944 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(136.837932 0) scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(217.88774 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(317.514414 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(365.683922 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_8">
    <path d="M 71.937043 97.006738 
C 72.605355 97.006738 73.246384 96.741215 73.718952 96.268647 
C 74.19152 95.796079 74.457043 95.15505 74.457043 94.486738 
C 74.457043 93.818426 74.19152 93.177397 73.718952 92.704829 
C 73.246384 92.232261 72.605355 91.966738 71.937043 91.966738 
C 71.268731 91.966738 70.627702 92.232261 70.155134 92.704829 
C 69.682566 93.177397 69.417043 93.818426 69.417043 94.486738 
C 69.417043 95.15505 69.682566 95.796079 70.155134 96.268647 
C 70.627702 96.741215 71.268731 97.006738 71.937043 97.006738 
z
" clip-path="url(#p329f3c4cc6)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_3">
    <!-- $(r, \, \theta)$ -->
    <g transform="translate(263.963486 83.190748) scale(0.15 -0.15)">
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(76.531944 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(136.837932 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(185.00744 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_9">
    <path d="M 278.363358 97.006738 
C 279.03167 97.006738 279.672699 96.741215 280.145267 96.268647 
C 280.617835 95.796079 280.883358 95.15505 280.883358 94.486738 
C 280.883358 93.818426 280.617835 93.177397 280.145267 92.704829 
C 279.672699 92.232261 279.03167 91.966738 278.363358 91.966738 
C 277.695046 91.966738 277.054017 92.232261 276.581449 92.704829 
C 276.108881 93.177397 275.843358 93.818426 275.843358 94.486738 
C 275.843358 95.15505 276.108881 95.796079 276.581449 96.268647 
C 277.054017 96.741215 277.695046 97.006738 278.363358 97.006738 
z
" clip-path="url(#p329f3c4cc6)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_1">
    <path d="M 175.150201 166.757369 
L 71.937043 94.486738 
" clip-path="url(#p329f3c4cc6)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="line2d_2">
    <path d="M 175.150201 166.757369 
L 278.363358 94.486738 
" clip-path="url(#p329f3c4cc6)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $\pi$ -->
    <g transform="translate(7.2 170.493359) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(167.07379 317.662081) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(170.731909 23.743917) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_3">
    <path d="M 175.150201 292.757369 
L 175.150201 40.757369 
" clip-path="url(#p329f3c4cc6)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_10">
    <path d="M 23.950201 166.757369 
L 326.350201 166.757369 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_7">
    <!-- $0$ -->
    <g transform="translate(331.390201 172.805369) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_8">
    <!-- $\pi - \theta$ -->
    <g transform="translate(135.563371 123.592357) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(81.049808 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(180.676482 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_9">
    <!-- $\theta$ -->
    <g transform="translate(247.715391 152.782214) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-12" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p329f3c4cc6">
   <rect x="23.950201" y="15.557369" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Symmetry with Respect to the Line theta=(pi)/(2) </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="345.906438pt" height="335.112901pt" viewBox="0 0 345.906438 335.112901" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-04T13:15:56.141352</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 335.112901 
L 345.906438 335.112901 
L 345.906438 0 
L 0 0 
L 0 335.112901 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 23.950201 317.957369 
L 326.350201 317.957369 
L 326.350201 15.557369 
L 23.950201 15.557369 
L 23.950201 317.957369 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 324.611401 166.757369 
L 315.161401 170.537369 
L 317.051401 166.757369 
L 324.460201 166.757369 
L 324.460201 166.757369 
L 317.051401 166.757369 
L 315.161401 162.977369 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 211.274806 192.05209 
C 213.855078 188.367079 215.856373 184.308855 217.209118 180.018495 
C 218.561864 175.728134 219.250201 171.255936 219.250201 166.757369 
" clip-path="url(#pc599d6d55b)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_5">
    <path d="M 211.140988 192.265624 
L 213.290671 181.716991 
L 215.423146 185.432526 
L 216.627503 183.510718 
L 216.627503 183.510718 
L 215.423146 185.432526 
L 219.6967 185.731513 
z
" clip-path="url(#pc599d6d55b)"/>
   </g>
   <g id="patch_6">
    <path d="M 225.550201 166.757369 
C 225.550201 161.616149 224.76353 156.505065 223.217535 151.601797 
C 221.67154 146.698528 219.384346 142.060557 216.435464 137.849116 
" clip-path="url(#pc599d6d55b)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 216.301646 137.635582 
L 224.857358 144.169693 
L 220.583804 144.46868 
L 221.78816 146.390488 
L 221.78816 146.390488 
L 220.583804 144.46868 
L 218.451329 148.184215 
z
" clip-path="url(#pc599d6d55b)"/>
   </g>
   <g id="text_1">
    <!-- $(r, \, -\theta)$ -->
    <g transform="translate(255.631928 270.39597) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-72" d="M 2490 2612 
C 2291 2574 2189 2433 2189 2293 
C 2189 2139 2310 2088 2400 2088 
C 2579 2088 2726 2242 2726 2433 
C 2726 2638 2528 2816 2208 2816 
C 1952 2816 1658 2701 1389 2312 
C 1344 2650 1088 2816 832 2816 
C 582 2816 454 2625 378 2484 
C 269 2254 173 1871 173 1839 
C 173 1814 198 1782 243 1782 
C 294 1782 301 1788 339 1935 
C 435 2318 557 2689 813 2689 
C 966 2689 1011 2580 1011 2395 
C 1011 2254 947 2005 902 1807 
L 723 1118 
C 698 996 627 709 595 594 
C 550 428 480 128 480 96 
C 480 6 550 -64 646 -64 
C 717 -64 838 -19 877 109 
C 896 160 1133 1124 1171 1271 
C 1203 1411 1242 1546 1274 1686 
C 1299 1775 1325 1878 1344 1961 
C 1363 2018 1536 2331 1696 2472 
C 1773 2542 1939 2689 2202 2689 
C 2304 2689 2406 2670 2490 2612 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMSY10-0" d="M 4218 1472 
C 4326 1472 4442 1472 4442 1600 
C 4442 1728 4326 1728 4218 1728 
L 755 1728 
C 646 1728 531 1728 531 1600 
C 531 1472 646 1472 755 1472 
L 4218 1472 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-12" d="M 2835 3200 
C 2835 3850 2630 4480 2106 4480 
C 1210 4480 256 2615 256 1216 
C 256 923 320 -64 992 -64 
C 1862 -64 2835 1756 2835 3200 
z
M 896 2304 
C 992 2679 1126 3214 1382 3665 
C 1594 4047 1818 4352 2099 4352 
C 2310 4352 2451 4174 2451 3564 
C 2451 3334 2432 3017 2246 2304 
L 896 2304 
z
M 2202 2113 
C 2042 1490 1907 1088 1677 687 
C 1491 363 1267 64 998 64 
C 800 64 640 217 640 846 
C 640 1260 742 1693 845 2113 
L 2202 2113 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(76.531944 0) scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(136.837932 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(214.3254 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(262.494907 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $(-r, \, \pi - \theta)$ -->
    <g transform="translate(244.601219 252.75597) scale(0.15 -0.15)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(112.768235 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(154.019412 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(214.3254 0) scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(295.375207 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(395.001882 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(443.17139 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_8">
    <path d="M 278.363358 241.548 
C 279.03167 241.548 279.672699 241.282477 280.145267 240.809909 
C 280.617835 240.337341 280.883358 239.696312 280.883358 239.028 
C 280.883358 238.359688 280.617835 237.718659 280.145267 237.246091 
C 279.672699 236.773523 279.03167 236.508 278.363358 236.508 
C 277.695046 236.508 277.054017 236.773523 276.581449 237.246091 
C 276.108881 237.718659 275.843358 238.359688 275.843358 239.028 
C 275.843358 239.696312 276.108881 240.337341 276.581449 240.809909 
C 277.054017 241.282477 277.695046 241.548 278.363358 241.548 
z
" clip-path="url(#pc599d6d55b)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_3">
    <!-- $(r, \, \theta)$ -->
    <g transform="translate(263.963486 83.190748) scale(0.15 -0.15)">
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(76.531944 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(136.837932 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(185.00744 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_9">
    <path d="M 278.363358 97.006738 
C 279.03167 97.006738 279.672699 96.741215 280.145267 96.268647 
C 280.617835 95.796079 280.883358 95.15505 280.883358 94.486738 
C 280.883358 93.818426 280.617835 93.177397 280.145267 92.704829 
C 279.672699 92.232261 279.03167 91.966738 278.363358 91.966738 
C 277.695046 91.966738 277.054017 92.232261 276.581449 92.704829 
C 276.108881 93.177397 275.843358 93.818426 275.843358 94.486738 
C 275.843358 95.15505 276.108881 95.796079 276.581449 96.268647 
C 277.054017 96.741215 277.695046 97.006738 278.363358 97.006738 
z
" clip-path="url(#pc599d6d55b)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_1">
    <path d="M 175.150201 166.757369 
L 278.363358 239.028 
" clip-path="url(#pc599d6d55b)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="line2d_2">
    <path d="M 175.150201 166.757369 
L 278.363358 94.486738 
" clip-path="url(#pc599d6d55b)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $\pi$ -->
    <g transform="translate(7.2 170.493359) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(167.07379 317.662081) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(170.731909 23.743917) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_3">
    <path d="M 175.150201 292.757369 
L 175.150201 40.757369 
" clip-path="url(#pc599d6d55b)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_10">
    <path d="M 23.950201 166.757369 
L 326.350201 166.757369 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_7">
    <!-- $0$ -->
    <g transform="translate(331.390201 172.805369) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_8">
    <!-- $- \theta$ -->
    <g transform="translate(224.846999 186.93561) scale(0.15 -0.15)">
     <use xlink:href="#CMSY10-0" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(77.487468 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_9">
    <!-- $\theta$ -->
    <g transform="translate(235.115391 157.822214) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-12" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pc599d6d55b">
   <rect x="23.950201" y="15.557369" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Symmetry with Respect to the Polar Axis </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="345.906438pt" height="335.112901pt" viewBox="0 0 345.906438 335.112901" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-04T13:15:19.093617</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 335.112901 
L 345.906438 335.112901 
L 345.906438 0 
L 0 0 
L 0 335.112901 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 23.950201 317.957369 
L 326.350201 317.957369 
L 326.350201 15.557369 
L 23.950201 15.557369 
L 23.950201 317.957369 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 324.611401 166.757369 
L 315.161401 170.537369 
L 317.051401 166.757369 
L 324.460201 166.757369 
L 324.460201 166.757369 
L 317.051401 166.757369 
L 315.161401 162.977369 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 212.950201 166.757369 
C 212.950201 160.820292 211.551435 154.965889 208.867606 149.670047 
C 206.183777 144.374205 202.289629 139.784414 197.501705 136.273763 
C 192.713782 132.763112 187.165427 130.429374 181.307649 129.462251 
C 175.449872 128.495128 169.445812 128.921555 163.783521 130.706868 
C 158.12123 132.492182 152.958404 135.58666 148.714713 139.738764 
C 144.471021 143.890868 141.264653 148.98496 139.356242 154.606957 
C 137.447831 160.228954 136.890528 166.222283 137.729634 172.099764 
C 138.56874 177.977245 140.780886 183.575189 144.186253 188.438558 
" clip-path="url(#p9d3f80d39e)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_5">
    <path d="M 144.31411 188.655714 
L 135.942492 181.887345 
L 140.222683 181.706734 
L 139.07197 179.752333 
L 139.07197 179.752333 
L 140.222683 181.706734 
L 142.457161 178.051632 
z
" clip-path="url(#p9d3f80d39e)"/>
   </g>
   <g id="patch_6">
    <path d="M 225.550201 166.757369 
C 225.550201 161.616149 224.76353 156.505065 223.217535 151.601797 
C 221.67154 146.698528 219.384346 142.060557 216.435464 137.849116 
" clip-path="url(#p9d3f80d39e)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 216.301646 137.635582 
L 224.857358 144.169693 
L 220.583804 144.46868 
L 221.78816 146.390488 
L 221.78816 146.390488 
L 220.583804 144.46868 
L 218.451329 148.184215 
z
" clip-path="url(#p9d3f80d39e)"/>
   </g>
   <g id="text_1">
    <!-- $(r, \, \pi + \theta)$ -->
    <g transform="translate(41.587612 270.39597) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-72" d="M 2490 2612 
C 2291 2574 2189 2433 2189 2293 
C 2189 2139 2310 2088 2400 2088 
C 2579 2088 2726 2242 2726 2433 
C 2726 2638 2528 2816 2208 2816 
C 1952 2816 1658 2701 1389 2312 
C 1344 2650 1088 2816 832 2816 
C 582 2816 454 2625 378 2484 
C 269 2254 173 1871 173 1839 
C 173 1814 198 1782 243 1782 
C 294 1782 301 1788 339 1935 
C 435 2318 557 2689 813 2689 
C 966 2689 1011 2580 1011 2395 
C 1011 2254 947 2005 902 1807 
L 723 1118 
C 698 996 627 709 595 594 
C 550 428 480 128 480 96 
C 480 6 550 -64 646 -64 
C 717 -64 838 -19 877 109 
C 896 160 1133 1124 1171 1271 
C 1203 1411 1242 1546 1274 1686 
C 1299 1775 1325 1878 1344 1961 
C 1363 2018 1536 2331 1696 2472 
C 1773 2542 1939 2689 2202 2689 
C 2304 2689 2406 2670 2490 2612 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-2b" d="M 2413 1472 
L 4109 1472 
C 4198 1472 4307 1472 4307 1580 
C 4307 1695 4205 1695 4109 1695 
L 2413 1695 
L 2413 3386 
C 2413 3475 2413 3584 2304 3584 
C 2189 3584 2189 3482 2189 3386 
L 2189 1695 
L 493 1695 
C 403 1695 294 1695 294 1587 
C 294 1472 397 1472 493 1472 
L 2189 1472 
L 2189 -218 
C 2189 -307 2189 -416 2298 -416 
C 2413 -416 2413 -314 2413 -218 
L 2413 1472 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-12" d="M 2835 3200 
C 2835 3850 2630 4480 2106 4480 
C 1210 4480 256 2615 256 1216 
C 256 923 320 -64 992 -64 
C 1862 -64 2835 1756 2835 3200 
z
M 896 2304 
C 992 2679 1126 3214 1382 3665 
C 1594 4047 1818 4352 2099 4352 
C 2310 4352 2451 4174 2451 3564 
C 2451 3334 2432 3017 2246 2304 
L 896 2304 
z
M 2202 2113 
C 2042 1490 1907 1088 1677 687 
C 1491 363 1267 64 998 64 
C 800 64 640 217 640 846 
C 640 1260 742 1693 845 2113 
L 2202 2113 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(76.531944 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(136.837932 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-2b" transform="translate(217.88774 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(311.741735 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(359.911243 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $(-r, \, \theta)$ -->
    <g transform="translate(51.725613 252.75597) scale(0.15 -0.15)">
     <defs>
      <path id="CMSY10-0" d="M 4218 1472 
C 4326 1472 4442 1472 4442 1600 
C 4442 1728 4326 1728 4218 1728 
L 755 1728 
C 646 1728 531 1728 531 1600 
C 531 1472 646 1472 755 1472 
L 4218 1472 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(112.768235 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(154.019412 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(214.3254 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(262.494907 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_8">
    <path d="M 71.937043 241.548 
C 72.605355 241.548 73.246384 241.282477 73.718952 240.809909 
C 74.19152 240.337341 74.457043 239.696312 74.457043 239.028 
C 74.457043 238.359688 74.19152 237.718659 73.718952 237.246091 
C 73.246384 236.773523 72.605355 236.508 71.937043 236.508 
C 71.268731 236.508 70.627702 236.773523 70.155134 237.246091 
C 69.682566 237.718659 69.417043 238.359688 69.417043 239.028 
C 69.417043 239.696312 69.682566 240.337341 70.155134 240.809909 
C 70.627702 241.282477 71.268731 241.548 71.937043 241.548 
z
" clip-path="url(#p9d3f80d39e)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_3">
    <!-- $(r, \, \theta)$ -->
    <g transform="translate(263.963486 83.190748) scale(0.15 -0.15)">
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMMI12-72" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(76.531944 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(136.837932 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(185.00744 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_9">
    <path d="M 278.363358 97.006738 
C 279.03167 97.006738 279.672699 96.741215 280.145267 96.268647 
C 280.617835 95.796079 280.883358 95.15505 280.883358 94.486738 
C 280.883358 93.818426 280.617835 93.177397 280.145267 92.704829 
C 279.672699 92.232261 279.03167 91.966738 278.363358 91.966738 
C 277.695046 91.966738 277.054017 92.232261 276.581449 92.704829 
C 276.108881 93.177397 275.843358 93.818426 275.843358 94.486738 
C 275.843358 95.15505 276.108881 95.796079 276.581449 96.268647 
C 277.054017 96.741215 277.695046 97.006738 278.363358 97.006738 
z
" clip-path="url(#p9d3f80d39e)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_1">
    <path d="M 175.150201 166.757369 
L 71.937043 239.028 
" clip-path="url(#p9d3f80d39e)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="line2d_2">
    <path d="M 175.150201 166.757369 
L 278.363358 94.486738 
" clip-path="url(#p9d3f80d39e)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $\pi$ -->
    <g transform="translate(7.2 170.493359) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(167.07379 317.662081) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(170.731909 23.743917) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_3">
    <path d="M 175.150201 292.757369 
L 175.150201 40.757369 
" clip-path="url(#p9d3f80d39e)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_10">
    <path d="M 23.950201 166.757369 
L 326.350201 166.757369 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_7">
    <!-- $0$ -->
    <g transform="translate(331.390201 172.805369) scale(0.15 -0.15)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_8">
    <!-- $\pi + \theta$ -->
    <g transform="translate(120.457805 128.632357) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-2b" transform="translate(81.049808 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-12" transform="translate(174.903803 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="text_9">
    <!-- $\theta$ -->
    <g transform="translate(235.115391 157.822214) scale(0.15 -0.15)">
     <use xlink:href="#CMMI12-12" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p9d3f80d39e">
   <rect x="23.950201" y="15.557369" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Symmetry with Respect to the Pole </figcaption>

Special Polar Graphs

1. Limaçons

Equations: ,

Limaçon with inner loop

Cardioid(heart-shaped)

Dimpled limaçon

Convex limaçon
'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="327.912913pt" height="377.397722pt" viewBox="0 0 327.912913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:11:21.460933</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 377.397722 
L 327.912913 377.397722 
L 327.912913 -0 
L 0 -0 
L 0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 28.406961 186.566302 
Q 164.486961 186.566302 300.566961 186.566302 
" clip-path="url(#p9f66eba794)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 300.718161 186.566302 
L 291.268161 190.346302 
L 293.158161 186.566302 
L 291.116961 186.566302 
L 291.116961 186.566302 
L 293.158161 186.566302 
L 291.268161 182.786302 
z
" clip-path="url(#p9f66eba794)"/>
   </g>
   <g id="line2d_1">
    <path d="M 88.886961 322.646302 
L 88.886961 50.486302 
" clip-path="url(#p9f66eba794)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(78.426858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(82.995905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_2">
    <path d="M 224.966961 186.566302 
L 224.864927 182.485738 
L 224.559137 178.416189 
L 224.050527 174.368629 
L 223.340651 170.353965 
L 222.43168 166.382991 
L 221.326391 162.466361 
L 220.028158 158.614546 
L 218.540941 154.837807 
L 216.869275 151.146155 
L 215.018248 147.549322 
L 212.993489 144.056729 
L 210.801149 140.677454 
L 208.447874 137.420201 
L 205.940789 134.293276 
L 203.28747 131.304556 
L 200.495917 128.461469 
L 197.574531 125.770962 
L 194.532081 123.239487 
L 191.377676 120.872977 
L 188.120732 118.676826 
L 184.770944 116.655878 
L 181.338247 114.814404 
L 177.832788 113.156099 
L 174.264888 111.684062 
L 170.645007 110.400795 
L 166.983711 109.308191 
L 163.291632 108.407533 
L 159.579436 107.69949 
L 155.857785 107.184119 
L 152.137302 106.860864 
L 148.428535 106.728564 
L 144.741919 106.785453 
L 141.087747 107.029178 
L 137.47613 107.456798 
L 133.916964 108.064807 
L 130.419902 108.849142 
L 126.994316 109.805199 
L 123.64927 110.927857 
L 120.393489 112.211492 
L 117.23533 113.649999 
L 114.182756 115.23682 
L 111.243311 116.964965 
L 108.424095 118.82704 
L 105.73174 120.815271 
L 103.172392 122.921539 
L 100.751691 125.137405 
L 98.474754 127.454145 
L 96.346159 129.862777 
L 94.369933 132.354101 
L 92.549541 134.918725 
L 90.369674 138.435733 
L 88.477173 142.043133 
L 86.875439 145.717755 
L 85.566019 149.436349 
L 84.548609 153.17573 
L 83.821063 156.912928 
L 83.379431 160.62533 
L 83.21799 164.290827 
L 83.329297 167.88795 
L 83.704251 171.396004 
L 84.332163 174.795196 
L 85.20084 178.066763 
L 86.296674 181.193079 
L 87.60474 184.157768 
L 89.108911 186.945802 
L 90.791965 189.543588 
L 92.635714 191.939053 
L 94.621128 194.121711 
L 96.728473 196.08272 
L 98.937442 197.814937 
L 101.227301 199.312948 
L 103.577031 200.573099 
L 105.96547 201.593505 
L 108.371464 202.374058 
L 110.774003 202.91641 
L 113.152375 203.223961 
L 115.486296 203.301817 
L 117.756058 203.156752 
L 119.942656 202.797152 
L 122.027917 202.232947 
L 123.994628 201.475539 
L 125.826648 200.537713 
L 127.509015 199.433544 
L 129.028054 198.178296 
L 130.371464 196.788307 
L 131.528399 195.280876 
L 132.489548 193.674134 
L 133.247189 191.98692 
L 133.795249 190.238641 
L 134.12934 188.449138 
L 134.246788 186.638544 
L 134.146655 184.827142 
L 133.829741 183.035219 
L 133.298581 181.282925 
L 132.557429 179.59013 
L 131.612225 177.976282 
L 130.47056 176.460268 
L 129.141622 175.060281 
L 127.636137 173.793691 
L 125.966292 172.676917 
L 124.145658 171.725312 
L 122.189096 170.95305 
L 120.112658 170.373024 
L 117.933476 169.996747 
L 115.66965 169.83427 
L 113.340124 169.894104 
L 110.964556 170.183154 
L 108.563186 170.706662 
L 106.156701 171.468162 
L 103.766089 172.469448 
L 101.412501 173.710553 
L 99.117101 175.189733 
L 96.900926 176.903475 
L 94.784738 178.846505 
L 92.788882 181.011813 
L 90.933145 183.390695 
L 89.236616 185.972792 
L 87.717556 188.746154 
L 86.393267 191.697308 
L 85.279969 194.811336 
L 84.392686 198.071966 
L 83.745135 201.461669 
L 83.349625 204.961766 
L 83.216968 208.552544 
L 83.356395 212.213373 
L 83.775482 215.922843 
L 84.480091 219.658889 
L 85.474316 223.398934 
L 86.760446 227.120031 
L 88.338935 230.799007 
L 90.208382 234.412611 
L 91.799521 237.065962 
L 93.550474 239.659791 
L 95.458602 242.184498 
L 97.520692 244.630619 
L 99.732963 246.988867 
L 102.091077 249.250158 
L 104.590152 251.405653 
L 107.224777 253.446782 
L 109.989025 255.365282 
L 112.876476 257.153224 
L 115.880232 258.803045 
L 118.992941 260.307571 
L 122.206823 261.660053 
L 125.51369 262.854183 
L 128.904975 263.884125 
L 132.37176 264.744531 
L 135.904803 265.43057 
L 139.494573 265.937938 
L 143.131275 266.262883 
L 146.804889 266.402213 
L 150.505198 266.353316 
L 154.221825 266.114166 
L 157.944267 265.683337 
L 161.661931 265.060005 
L 165.364166 264.243957 
L 169.040304 263.235593 
L 172.679694 262.035927 
L 176.271735 260.646584 
L 179.805918 259.069799 
L 183.271855 257.30841 
L 186.659319 255.36585 
L 189.958279 253.24614 
L 193.158928 250.953872 
L 196.251724 248.494201 
L 199.22742 245.872826 
L 202.077092 243.095972 
L 204.792176 240.170373 
L 207.364492 237.103247 
L 209.786272 233.902276 
L 212.050193 230.575581 
L 214.149392 227.131695 
L 216.077501 223.579536 
L 217.828657 219.928377 
L 219.397533 216.187817 
L 220.779348 212.367749 
L 221.969889 208.478328 
L 222.965522 204.529937 
L 223.763205 200.533153 
L 224.360501 196.498714 
L 224.755585 192.43748 
L 224.947247 188.360402 
L 224.96581 186.999756 
L 224.96581 186.999756 
" clip-path="url(#p9f66eba794)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $0$ -->
    <g transform="translate(310.661008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p9f66eba794">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> (a)/(b) > 1 <br> Limaçon with inner loop </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="327.912913pt" height="377.397722pt" viewBox="0 0 327.912913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:11:59.684412</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 377.397722 
L 327.912913 377.397722 
L 327.912913 -0 
L 0 -0 
L 0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 28.406961 186.566302 
Q 164.486961 186.566302 300.566961 186.566302 
" clip-path="url(#pfb9f045ac4)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 300.718161 186.566302 
L 291.268161 190.346302 
L 293.158161 186.566302 
L 291.116961 186.566302 
L 291.116961 186.566302 
L 293.158161 186.566302 
L 291.268161 182.786302 
z
" clip-path="url(#pfb9f045ac4)"/>
   </g>
   <g id="line2d_1">
    <path d="M 88.886961 322.646302 
L 88.886961 50.486302 
" clip-path="url(#pfb9f045ac4)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(78.426858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(82.995905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_2">
    <path d="M 240.086961 186.566302 
L 239.984924 182.032002 
L 239.679088 177.507901 
L 239.170279 173.004165 
L 238.459869 168.530899 
L 237.549774 164.098115 
L 236.442444 159.7157 
L 235.14086 155.393388 
L 233.64852 151.14073 
L 231.969429 146.967065 
L 230.108086 142.881489 
L 228.069468 138.892832 
L 225.859017 135.009629 
L 223.482618 131.240095 
L 220.94658 127.592101 
L 218.257619 124.07315 
L 215.422833 120.690355 
L 212.449679 117.450419 
L 209.345949 114.359616 
L 206.119747 111.423773 
L 202.779456 108.648253 
L 199.33372 106.037943 
L 195.791406 103.597237 
L 192.161583 101.330027 
L 188.45349 99.239695 
L 184.676506 97.329101 
L 180.840118 95.600581 
L 176.953894 94.055939 
L 173.027451 92.696449 
L 169.070424 91.522849 
L 165.092435 90.535347 
L 161.103064 89.73362 
L 157.111815 89.11682 
L 153.128093 88.683583 
L 149.161168 88.432032 
L 145.220149 88.359792 
L 141.313957 88.463997 
L 137.451296 88.741306 
L 133.640624 89.187919 
L 129.890134 89.799587 
L 126.207725 90.571639 
L 122.600976 91.49899 
L 117.922141 92.967531 
L 113.406813 94.688429 
L 109.069939 96.646656 
L 104.925175 98.826228 
L 100.984818 101.210309 
L 97.259757 103.781327 
L 93.75942 106.52109 
L 90.491741 109.4109 
L 87.463129 112.431682 
L 84.678452 115.564101 
L 82.141029 118.788689 
L 79.852631 122.085968 
L 77.813496 125.43657 
L 76.022346 128.821363 
L 74.47642 132.221566 
L 73.171514 135.618866 
L 72.102034 138.995529 
L 71.261049 142.334508 
L 70.640358 145.619543 
L 70.230569 148.835259 
L 70.021174 151.967254 
L 70.000643 155.002181 
L 70.221502 158.640842 
L 70.691792 162.087622 
L 71.383672 165.3244 
L 72.267931 168.336292 
L 73.314337 171.111753 
L 74.491992 173.642645 
L 75.76969 175.924274 
L 77.391148 178.331665 
L 79.05885 180.382745 
L 80.721535 182.088609 
L 82.590194 183.666325 
L 84.314386 184.836852 
L 86.02666 185.738875 
L 87.664333 186.341808 
L 88.886865 186.566301 
L 88.361319 186.628834 
L 87.133656 186.955444 
L 85.693545 187.548571 
L 84.15472 188.393098 
L 82.413528 189.601282 
L 80.808719 190.962774 
L 79.147687 192.650748 
L 77.478982 194.683162 
L 75.853749 197.071469 
L 74.570736 199.337139 
L 73.385776 201.852256 
L 72.330082 204.612342 
L 71.434582 207.609481 
L 70.729563 210.832342 
L 70.24431 214.266249 
L 70.006761 217.893287 
L 70.012777 220.919944 
L 70.206697 224.044684 
L 70.600129 227.254248 
L 71.203665 230.534314 
L 72.026791 233.869581 
L 73.077805 237.243859 
L 74.363739 240.640157 
L 75.8903 244.040793 
L 77.661802 247.427496 
L 79.681122 250.781518 
L 81.949659 254.08375 
L 84.467296 257.31484 
L 87.232385 260.455313 
L 90.24173 263.485696 
L 93.490586 266.386639 
L 96.972666 269.139041 
L 100.680158 271.724171 
L 104.60375 274.123792 
L 108.73267 276.320276 
L 113.054728 278.296727 
L 117.556376 280.037088 
L 122.222768 281.526252 
L 125.821051 282.469778 
L 129.495782 283.258567 
L 133.239412 283.887494 
L 137.044078 284.35184 
L 140.901616 284.647314 
L 144.803595 284.770065 
L 148.741336 284.716704 
L 152.705939 284.484313 
L 156.688315 284.070465 
L 160.679209 283.473229 
L 164.669229 282.691186 
L 168.64888 281.723434 
L 172.608589 280.569593 
L 176.538736 279.229814 
L 180.429687 277.70478 
L 184.271822 275.995707 
L 188.055565 274.104343 
L 191.77142 272.032969 
L 195.409994 269.784388 
L 198.962033 267.361927 
L 202.418449 264.769425 
L 205.77035 262.011224 
L 209.009068 259.092157 
L 212.126191 256.017539 
L 215.113584 252.793147 
L 217.963422 249.42521 
L 220.668209 245.920384 
L 223.22081 242.285742 
L 225.614466 238.528746 
L 227.842824 234.657228 
L 229.899952 230.679369 
L 231.780362 226.603669 
L 233.479026 222.43893 
L 234.991394 218.19422 
L 236.313407 213.878854 
L 237.441512 209.502361 
L 238.372675 205.074458 
L 239.104387 200.605017 
L 239.634676 196.104038 
L 239.962112 191.581618 
L 240.08581 187.047918 
L 240.08581 187.047918 
" clip-path="url(#pfb9f045ac4)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $0$ -->
    <g transform="translate(310.661008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pfb9f045ac4">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> (a)/(b)=1 <br> Cardioid(heart-shaped) </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="327.912913pt" height="377.397722pt" viewBox="0 0 327.912913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:13:20.209394</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 377.397722 
L 327.912913 377.397722 
L 327.912913 -0 
L 0 -0 
L 0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 28.406961 186.566302 
Q 164.486961 186.566302 300.566961 186.566302 
" clip-path="url(#pa9abb057ee)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 300.718161 186.566302 
L 291.268161 190.346302 
L 293.158161 186.566302 
L 291.116961 186.566302 
L 291.116961 186.566302 
L 293.158161 186.566302 
L 291.268161 182.786302 
z
" clip-path="url(#pa9abb057ee)"/>
   </g>
   <g id="line2d_1">
    <path d="M 88.886961 322.646302 
L 88.886961 50.486302 
" clip-path="url(#pa9abb057ee)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(78.426858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(82.995905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_2">
    <path d="M 209.846961 186.566302 
L 209.713952 181.730643 
L 209.315485 176.911414 
L 208.653239 172.124963 
L 207.730003 167.387476 
L 206.549658 162.714892 
L 205.117157 158.122831 
L 203.438498 153.626512 
L 201.52069 149.240677 
L 199.371715 144.979525 
L 197.00048 140.856639 
L 194.416775 136.88492 
L 191.63121 133.076531 
L 188.655166 129.442835 
L 185.500725 125.994347 
L 182.180607 122.740684 
L 178.708101 119.690527 
L 175.096991 116.85158 
L 171.361484 114.230545 
L 167.516129 111.833094 
L 163.575743 109.663852 
L 159.555331 107.726382 
L 155.470005 106.023182 
L 151.334904 104.555685 
L 147.165118 103.32426 
L 142.975605 102.32823 
L 138.781118 101.565886 
L 134.596129 101.034515 
L 130.434752 100.730423 
L 126.310682 100.648977 
L 122.237118 100.784642 
L 118.226706 101.131023 
L 114.291477 101.680921 
L 110.442795 102.426383 
L 106.691302 103.35876 
L 103.046874 104.468771 
L 99.518582 105.746564 
L 96.114656 107.181786 
L 92.842452 108.763655 
L 89.708434 110.481024 
L 85.993602 112.800847 
L 82.51209 115.291736 
L 79.270426 117.930619 
L 76.272866 120.694356 
L 73.521425 123.559963 
L 71.015924 126.504826 
L 68.754061 129.506916 
L 66.731505 132.544988 
L 64.942006 135.598776 
L 63.377519 138.649162 
L 61.783404 142.280174 
L 60.479742 145.852777 
L 59.444352 149.342356 
L 58.652874 152.7279 
L 58.002939 156.52346 
L 57.606175 160.133581 
L 57.405803 164.015841 
L 57.424239 168.064383 
L 57.670806 172.56635 
L 58.646942 186.51814 
L 58.543315 190.176098 
L 58.163735 195.016548 
L 57.49922 203.243993 
L 57.387064 207.584654 
L 57.493763 211.356415 
L 57.785988 214.873576 
L 58.31041 218.583334 
L 59.110987 222.468637 
L 60.049133 225.920301 
L 61.246369 229.463548 
L 62.725776 233.075127 
L 64.189117 236.117809 
L 65.873173 239.17232 
L 67.78677 242.220134 
L 69.937006 245.241496 
L 72.32912 248.215592 
L 74.966364 251.120731 
L 77.849913 253.934546 
L 80.978777 256.634198 
L 84.349743 259.196591 
L 87.95734 261.598593 
L 91.008661 263.389285 
L 94.201497 265.051072 
L 97.529912 266.572634 
L 100.987065 267.942969 
L 104.565228 269.151466 
L 108.255815 270.187974 
L 112.049412 271.042874 
L 115.935814 271.707142 
L 119.904071 272.172415 
L 123.942533 272.43105 
L 128.038903 272.476178 
L 132.180293 272.301763 
L 136.35329 271.902642 
L 140.544014 271.274571 
L 144.738191 270.414267 
L 148.921222 269.319433 
L 153.078259 267.988794 
L 157.194279 266.422108 
L 161.254162 264.620194 
L 165.242771 262.584928 
L 169.145028 260.319259 
L 172.945998 257.827196 
L 176.630967 255.113808 
L 180.185521 252.1852 
L 183.59562 249.0485 
L 186.847681 245.711826 
L 189.928644 242.184258 
L 192.82605 238.475796 
L 195.528103 234.597317 
L 198.023739 230.560526 
L 200.302686 226.377905 
L 202.355519 222.062649 
L 204.173713 217.628607 
L 205.749692 213.090216 
L 207.076866 208.462427 
L 208.149673 203.760637 
L 208.963608 199.000609 
L 209.515245 194.198396 
L 209.802263 189.370263 
L 209.846117 186.951595 
L 209.846117 186.951595 
" clip-path="url(#pa9abb057ee)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $0$ -->
    <g transform="translate(310.661008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pa9abb057ee">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> 1 < (a)/(b) < 2 <br> Dimpled limaçon </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="327.912913pt" height="377.397722pt" viewBox="0 0 327.912913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:15:30.347225</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 377.397722 
L 327.912913 377.397722 
L 327.912913 -0 
L 0 -0 
L 0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 28.406961 186.566302 
Q 164.486961 186.566302 300.566961 186.566302 
" clip-path="url(#p6f6ab8f7cd)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 300.718161 186.566302 
L 291.268161 190.346302 
L 293.158161 186.566302 
L 291.116961 186.566302 
L 291.116961 186.566302 
L 293.158161 186.566302 
L 291.268161 182.786302 
z
" clip-path="url(#p6f6ab8f7cd)"/>
   </g>
   <g id="line2d_1">
    <path d="M 88.886961 322.646302 
L 88.886961 50.486302 
" clip-path="url(#p6f6ab8f7cd)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(78.426858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(82.995905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_2">
    <path d="M 224.966961 186.566302 
L 224.821857 181.126004 
L 224.387126 175.703104 
L 223.664506 170.314915 
L 222.656879 164.978584 
L 221.368264 159.711012 
L 219.803787 154.528768 
L 217.969656 149.448014 
L 215.87313 144.484431 
L 213.522475 139.653139 
L 210.926922 134.968633 
L 208.09662 130.444716 
L 205.042574 126.09443 
L 201.776592 121.930008 
L 198.311222 117.962812 
L 194.659682 114.20329 
L 190.835789 110.660931 
L 186.853891 107.344229 
L 182.728786 104.260649 
L 178.475649 101.416602 
L 174.109948 98.817428 
L 169.647369 96.467378 
L 165.10373 94.369611 
L 160.494905 92.526188 
L 155.83674 90.938083 
L 151.144976 89.605188 
L 146.435169 88.526334 
L 141.722613 87.699313 
L 137.022271 87.120904 
L 132.348696 86.786914 
L 127.715967 86.692211 
L 123.137625 86.830769 
L 118.626611 87.195721 
L 114.195208 87.779411 
L 109.854991 88.573448 
L 105.616777 89.568771 
L 101.490589 90.755713 
L 97.485611 92.124068 
L 93.610162 93.663157 
L 89.871672 95.361905 
L 86.276655 97.20891 
L 82.830703 99.192517 
L 79.538474 101.300893 
L 76.403691 103.522104 
L 72.710784 106.439064 
L 69.271613 109.490379 
L 66.087409 112.653116 
L 63.157276 115.904876 
L 60.47828 119.223992 
L 58.04556 122.589722 
L 55.852453 125.982423 
L 53.890641 129.383714 
L 51.827858 133.452805 
L 50.064485 137.483499 
L 48.578781 141.452837 
L 47.347196 145.3415 
L 46.198313 149.755806 
L 45.32067 154.021311 
L 44.597026 158.700384 
L 44.067408 163.709624 
L 43.738249 168.972005 
L 43.565219 175.39878 
L 43.526962 187.401353 
L 43.627938 200.984574 
L 43.897416 207.112792 
L 44.310032 211.995165 
L 44.896591 216.558991 
L 45.627441 220.726836 
L 46.60412 225.051013 
L 47.867765 229.517939 
L 49.209912 233.444804 
L 50.816896 237.444171 
L 52.711517 241.495073 
L 54.525152 244.8926 
L 56.563723 248.292969 
L 58.836561 251.678718 
L 61.351445 255.031022 
L 64.114448 258.329851 
L 67.129795 261.554131 
L 70.399747 264.681928 
L 73.924494 267.69064 
L 77.702069 270.557203 
L 80.903431 272.732439 
L 84.260788 274.789816 
L 87.770023 276.717433 
L 91.426087 278.503522 
L 95.222997 280.136527 
L 99.153852 281.605173 
L 103.210847 282.898543 
L 107.385295 284.006149 
L 111.667655 284.918003 
L 116.047567 285.624683 
L 120.513888 286.117403 
L 125.05474 286.388076 
L 129.657557 286.429368 
L 134.309138 286.234759 
L 138.99571 285.798596 
L 143.702984 285.116135 
L 148.416228 284.183585 
L 153.12033 282.998151 
L 157.799878 281.558055 
L 162.439228 279.862574 
L 167.022585 277.912052 
L 171.534081 275.707919 
L 175.957858 273.252698 
L 180.278141 270.550006 
L 184.479326 267.604555 
L 188.54606 264.422135 
L 192.463317 261.009605 
L 196.216478 257.374865 
L 199.791409 253.526832 
L 203.174535 249.475401 
L 206.352913 245.231413 
L 209.314299 240.806599 
L 212.047213 236.213542 
L 214.541003 231.465609 
L 216.785901 226.576903 
L 218.773074 221.562189 
L 220.494676 216.436832 
L 221.943885 211.216724 
L 223.114942 205.918209 
L 224.003186 200.558004 
L 224.605073 195.153123 
L 224.918199 189.720793 
L 224.96604 186.999757 
L 224.96604 186.999757 
" clip-path="url(#p6f6ab8f7cd)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $0$ -->
    <g transform="translate(310.661008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p6f6ab8f7cd">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> (a)/(b) >= 2 <br> Convex limaçon </figcaption>

2. Rose Curves

Equations: ,
  • If is odd, the graph has petals.
  • If is even, the graph has petals.



'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="335.472913pt" height="377.397722pt" viewBox="0 0 335.472913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:38:32.477664</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M -0 377.397722 
L 335.472913 377.397722 
L 335.472913 -0 
L -0 -0 
L -0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 164.486961 262.166302 
Q 224.966961 262.166302 285.446961 262.166302 
" clip-path="url(#p4f49601304)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #ff0000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 164.335761 262.166302 
L 173.785761 258.386302 
L 171.895761 262.166302 
L 173.936961 262.166302 
L 173.936961 262.166302 
L 171.895761 262.166302 
L 173.785761 265.946302 
z
" clip-path="url(#p4f49601304)" style="fill: #ff0000"/>
   </g>
   <g id="patch_4">
    <path d="M 285.598161 262.166302 
L 276.148161 265.946302 
L 278.038161 262.166302 
L 275.996961 262.166302 
L 275.996961 262.166302 
L 278.038161 262.166302 
L 276.148161 258.386302 
z
" clip-path="url(#p4f49601304)" style="fill: #ff0000"/>
   </g>
   <g id="line2d_1">
    <path d="M 285.446961 186.566302 
L 285.446961 322.646302 
" clip-path="url(#p4f49601304)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="patch_5">
    <path d="M 28.406961 186.566302 
Q 172.046961 186.566302 315.686961 186.566302 
" clip-path="url(#p4f49601304)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 315.838161 186.566302 
L 306.388161 190.346302 
L 308.278161 186.566302 
L 306.236961 186.566302 
L 306.236961 186.566302 
L 308.278161 186.566302 
L 306.388161 182.786302 
z
" clip-path="url(#p4f49601304)"/>
   </g>
   <g id="line2d_2">
    <path d="M 164.486961 322.646302 
L 164.486961 50.486302 
" clip-path="url(#p4f49601304)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(154.026858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(158.595905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_3">
    <path d="M 285.446961 186.566302 
L 285.386488 185.357266 
L 285.205151 184.151616 
L 284.903196 182.95273 
L 284.481034 181.763977 
L 283.939239 180.588706 
L 283.278548 179.430241 
L 281.604225 177.176881 
L 279.467156 175.029801 
L 276.878935 173.014152 
L 273.853583 171.15415 
L 270.40747 169.472907 
L 266.559211 167.992262 
L 262.329552 166.732627 
L 257.741243 165.712833 
L 252.818903 164.95 
L 247.588866 164.459405 
L 242.079024 164.254368 
L 236.318656 164.346155 
L 230.338248 164.743883 
L 224.169313 165.454453 
L 217.844197 166.482486 
L 211.395884 167.830281 
L 204.857796 169.497787 
L 198.263594 171.482585 
L 191.646975 173.779896 
L 185.041469 176.382596 
L 178.480239 179.281249 
L 171.995884 182.464158 
L 165.620244 185.917427 
L 159.384216 189.625038 
L 153.317565 193.568949 
L 147.448756 197.729196 
L 141.804786 202.084012 
L 136.411028 206.609963 
L 131.291088 211.282084 
L 126.466666 216.074039 
L 121.957443 220.95828 
L 117.780967 225.906218 
L 113.952558 230.888404 
L 110.485234 235.874713 
L 107.389642 240.834531 
L 104.674009 245.736955 
L 102.344106 250.550981 
L 100.403234 255.245711 
L 98.852219 259.790543 
L 97.689423 264.155373 
L 96.910779 268.310784 
L 96.509829 272.228243 
L 96.477787 275.880281 
L 96.803612 279.240676 
L 97.4741 282.284624 
L 98.473979 284.988902 
L 99.786034 287.332025 
L 100.553245 288.36195 
L 101.391225 289.294388 
L 102.297334 290.127205 
L 103.268833 290.8584 
L 104.302894 291.486107 
L 105.396603 292.008603 
L 106.546966 292.424306 
L 107.750911 292.731782 
L 109.005298 292.929744 
L 110.306921 293.017058 
L 111.652517 292.99274 
L 114.46231 292.606062 
L 117.407602 291.764985 
L 120.460748 290.467332 
L 123.593721 288.713501 
L 126.778307 286.506475 
L 129.986298 283.851814 
L 133.189684 280.757637 
L 136.360846 277.23458 
L 139.472742 273.295744 
L 142.499091 268.956631 
L 145.414554 264.235051 
L 148.194903 259.151033 
L 150.817184 253.726708 
L 153.259876 247.986185 
L 155.503033 241.955415 
L 157.528419 235.662042 
L 159.319631 229.135241 
L 160.862212 222.405553 
L 162.143743 215.504704 
L 163.153932 208.465425 
L 163.884679 201.321254 
L 164.330133 194.106347 
L 164.486731 186.855272 
L 164.35322 179.602811 
L 163.930668 172.383753 
L 163.222455 165.232691 
L 162.234252 158.18382 
L 160.973979 151.270737 
L 159.451759 144.526242 
L 157.679843 137.982149 
L 155.672529 131.669098 
L 153.446069 125.616383 
L 151.018557 119.851772 
L 148.409808 114.401359 
L 145.641223 109.289403 
L 142.735648 104.538199 
L 139.717213 100.167946 
L 136.611178 96.196637 
L 133.443754 92.639957 
L 130.241928 89.511205 
L 127.033281 86.821213 
L 123.845799 84.578303 
L 120.707681 82.78824 
L 117.647148 81.454211 
L 114.692248 80.576822 
L 111.870664 80.154098 
L 109.209523 80.181518 
L 107.947396 80.36193 
L 106.735206 80.652046 
L 105.576102 81.050605 
L 104.473167 81.556194 
L 103.429409 82.167257 
L 102.447754 82.882091 
L 101.531045 83.698853 
L 100.682035 84.615565 
L 99.90338 85.630112 
L 99.197638 86.740249 
L 98.014595 89.23769 
L 97.151193 92.087475 
L 96.623846 95.267371 
L 96.446971 98.753471 
L 96.632873 102.520354 
L 97.191655 106.541253 
L 98.131134 110.788228 
L 99.456768 115.232352 
L 101.171608 119.843897 
L 103.276259 124.592525 
L 105.768856 129.447486 
L 108.645057 134.377812 
L 111.898056 139.352519 
L 115.518603 144.3408 
L 119.495048 149.312225 
L 123.813397 154.236929 
L 128.457383 159.085803 
L 133.408547 163.830674 
L 138.646348 168.444483 
L 144.148268 172.901451 
L 149.889941 177.177238 
L 155.845294 181.249095 
L 161.986693 185.095998 
L 168.285104 188.698775 
L 174.710267 192.040224 
L 181.230865 195.105209 
L 187.814716 197.88075 
L 194.428959 200.356091 
L 201.040254 202.522766 
L 207.614975 204.37463 
L 214.119417 205.907898 
L 220.519993 207.121146 
L 226.783442 208.015313 
L 232.877023 208.593679 
L 238.768718 208.861829 
L 244.427422 208.827604 
L 249.823133 208.501035 
L 254.927136 207.894262 
L 259.712173 207.021441 
L 264.152613 205.898638 
L 268.224603 204.543709 
L 271.90622 202.976167 
L 275.177599 201.217041 
L 278.021057 199.288727 
L 280.421199 197.21482 
L 282.365014 195.019952 
L 283.841953 192.729612 
L 284.402737 191.556795 
L 284.843995 190.369965 
L 285.165126 189.172469 
L 285.365694 187.96767 
L 285.445427 186.758947 
L 285.404215 185.549684 
L 285.242115 184.343269 
L 284.959347 183.14308 
L 284.556296 181.952488 
L 284.03351 180.774846 
L 283.391698 179.613483 
L 281.754649 177.352765 
L 279.654038 175.196289 
L 277.101261 173.169273 
L 274.110149 171.296013 
L 270.69689 169.599717 
L 266.879922 168.102331 
L 262.679826 166.824383 
L 258.119199 165.78484 
L 253.222515 165.00096 
L 248.015979 164.488171 
L 242.527363 164.259954 
L 236.785842 164.32774 
L 230.821814 164.700823 
L 224.666717 165.386281 
L 218.352836 166.388918 
L 211.913113 167.711221 
L 205.380942 169.353324 
L 198.789973 171.313 
L 192.173907 173.585655 
L 185.566295 176.164352 
L 179.000336 179.039837 
L 172.508681 182.20059 
L 166.123238 185.632889 
L 159.874985 189.320881 
L 153.793785 193.246682 
L 147.908212 197.390476 
L 142.245385 201.730636 
L 136.830813 206.243854 
L 131.688246 210.905284 
L 126.839543 215.688691 
L 122.304549 220.566617 
L 118.100983 225.510552 
L 114.244349 230.491107 
L 110.74785 235.478204 
L 107.622322 240.441262 
L 104.876187 245.349392 
L 102.515414 250.171593 
L 100.543499 254.876949 
L 98.961466 259.434829 
L 97.767873 263.815081 
L 96.958844 267.988227 
L 96.528109 271.925657 
L 96.467065 275.59981 
L 96.764848 278.984358 
L 97.408422 282.054378 
L 98.382678 284.786516 
L 99.670547 287.159143 
L 100.42625 288.204388 
L 101.253133 289.152499 
L 102.148572 290.00132 
L 103.109844 290.748827 
L 104.134134 291.393136 
L 105.218542 291.932498 
L 106.360085 292.365309 
L 107.555705 292.690112 
L 108.802271 292.905596 
L 110.096589 293.010602 
L 111.435402 293.004123 
L 114.233232 292.65346 
L 117.168741 291.848681 
L 120.214321 290.587406 
L 123.34197 288.869827 
L 126.523481 286.69872 
L 129.730638 284.079442 
L 132.93541 281.019907 
L 136.110137 277.530555 
L 139.227727 273.624292 
L 142.261831 269.316431 
L 145.187028 264.624603 
L 147.978995 259.568662 
L 150.614672 254.170579 
L 153.072418 248.454308 
L 155.332156 242.44566 
L 157.375509 236.172148 
L 159.185926 229.662833 
L 160.748788 222.948153 
L 162.051513 216.059748 
L 163.083635 209.030272 
L 163.836879 201.89321 
L 164.305213 194.682673 
L 164.48489 187.433205 
L 164.374473 180.179578 
L 163.974844 172.956588 
L 163.289202 165.798852 
L 162.323034 158.740603 
L 161.084085 151.815493 
L 159.582303 145.056393 
L 157.829773 138.495201 
L 155.840634 132.16266 
L 153.630985 126.088175 
L 151.21878 120.299643 
L 148.623699 114.823295 
L 145.867023 109.683543 
L 142.971488 104.902843 
L 139.961129 100.501565 
L 136.861121 96.49788 
L 133.697605 92.907664 
L 130.497515 89.744404 
L 127.28839 87.019134 
L 124.09819 84.740377 
L 120.955106 82.914101 
L 117.887363 81.543701 
L 114.923031 80.629987 
L 112.089828 80.17119 
L 109.414933 80.162988 
L 108.145149 80.325821 
L 106.924792 80.598546 
L 105.757025 80.979924 
L 104.644941 81.468568 
L 103.59156 82.062943 
L 102.599822 82.761369 
L 101.672583 83.562027 
L 100.81261 84.462958 
L 100.022577 85.46207 
L 99.305055 86.557139 
L 98.662516 87.745813 
L 97.611716 90.393963 
L 96.887694 93.385325 
L 96.506037 96.696943 
L 96.480287 100.304253 
L 96.821835 104.181249 
L 97.539832 108.300647 
L 98.641111 112.634072 
L 100.130123 117.152236 
L 102.008896 121.825131 
L 104.276996 126.622221 
L 106.931519 131.512641 
L 109.967085 136.465393 
L 113.375855 141.449542 
L 117.147566 146.434416 
L 121.269575 151.3898 
L 125.726921 156.286124 
L 130.502406 161.09465 
L 135.576682 165.787654 
L 140.928363 170.338593 
L 146.534138 174.722275 
L 152.368905 178.915012 
L 158.405916 182.894763 
L 164.61693 186.641268 
L 170.972375 190.13617 
L 177.441525 193.363124 
L 183.992677 196.30789 
L 190.593339 198.958416 
L 197.210426 201.304903 
L 203.810452 203.339854 
L 210.359734 205.058117 
L 216.824592 206.456895 
L 223.171551 207.535762 
L 229.367545 208.296643 
L 235.380112 208.743792 
L 241.177595 208.883751 
L 246.72933 208.725288 
L 252.005835 208.279333 
L 256.978986 207.558884 
L 261.622189 206.578916 
L 265.910542 205.356261 
L 269.820988 203.909488 
L 273.332451 202.258766 
L 276.425971 200.425718 
L 279.084813 198.433263 
L 281.294574 196.305454 
L 283.043271 194.067303 
L 284.321408 191.744609 
L 284.781747 190.559787 
L 285.122044 189.363764 
L 285.341836 188.159903 
L 285.440825 186.951578 
L 285.440825 186.951578 
" clip-path="url(#p4f49601304)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $a$ -->
    <g style="fill: #ff0000" transform="translate(219.3341 255.549054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-61" d="M 1926 760 
C 1894 651 1894 639 1805 517 
C 1664 338 1382 64 1082 64 
C 819 64 672 300 672 677 
C 672 1028 870 1743 992 2012 
C 1210 2459 1510 2689 1760 2689 
C 2182 2689 2266 2165 2266 2114 
C 2266 2108 2246 2024 2240 2012 
L 1926 760 
z
M 2336 2395 
C 2266 2561 2093 2816 1760 2816 
C 1037 2816 256 1884 256 939 
C 256 307 627 -64 1062 -64 
C 1414 -64 1715 211 1894 422 
C 1958 45 2259 -64 2451 -64 
C 2643 -64 2797 51 2912 281 
C 3014 498 3104 888 3104 913 
C 3104 945 3078 971 3040 971 
C 2982 971 2976 939 2950 843 
C 2854 466 2733 64 2470 64 
C 2285 64 2272 230 2272 358 
C 2272 505 2291 575 2349 824 
C 2394 984 2426 1124 2477 1309 
C 2714 2267 2771 2497 2771 2535 
C 2771 2625 2701 2695 2605 2695 
C 2400 2695 2349 2472 2336 2395 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-61" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $0$ -->
    <g transform="translate(318.221008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p4f49601304">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> n=3 <br> r=a cos n theta </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="335.472913pt" height="377.397722pt" viewBox="0 0 335.472913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:50:10.939044</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M -0 377.397722 
L 335.472913 377.397722 
L 335.472913 -0 
L -0 -0 
L -0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 164.486961 315.086302 
Q 224.966961 315.086302 285.446961 315.086302 
" clip-path="url(#p2a5704bcf2)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #ff0000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 164.335761 315.086302 
L 173.785761 311.306302 
L 171.895761 315.086302 
L 173.936961 315.086302 
L 173.936961 315.086302 
L 171.895761 315.086302 
L 173.785761 318.866302 
z
" clip-path="url(#p2a5704bcf2)" style="fill: #ff0000"/>
   </g>
   <g id="patch_4">
    <path d="M 285.598161 315.086302 
L 276.148161 318.866302 
L 278.038161 315.086302 
L 275.996961 315.086302 
L 275.996961 315.086302 
L 278.038161 315.086302 
L 276.148161 311.306302 
z
" clip-path="url(#p2a5704bcf2)" style="fill: #ff0000"/>
   </g>
   <g id="line2d_1">
    <path d="M 285.446961 186.566302 
L 285.446961 322.646302 
" clip-path="url(#p2a5704bcf2)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="patch_5">
    <path d="M 28.406961 186.566302 
Q 172.046961 186.566302 315.686961 186.566302 
" clip-path="url(#p2a5704bcf2)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 315.838161 186.566302 
L 306.388161 190.346302 
L 308.278161 186.566302 
L 306.236961 186.566302 
L 306.236961 186.566302 
L 308.278161 186.566302 
L 306.388161 182.786302 
z
" clip-path="url(#p2a5704bcf2)"/>
   </g>
   <g id="line2d_2">
    <path d="M 164.486961 322.646302 
L 164.486961 50.486302 
" clip-path="url(#p2a5704bcf2)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(154.026858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(158.595905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_3">
    <path d="M 285.446961 186.566302 
L 285.344163 185.357689 
L 285.035981 184.155 
L 284.523057 182.964138 
L 283.806454 181.790975 
L 282.887659 180.641328 
L 281.768578 179.520948 
L 280.451532 178.435497 
L 278.939251 177.390535 
L 277.234865 176.391503 
L 275.341905 175.443707 
L 273.264285 174.5523 
L 271.006299 173.72227 
L 268.572609 172.958423 
L 265.968235 172.265368 
L 263.198544 171.647505 
L 257.186329 170.653823 
L 250.585325 170.007878 
L 243.449562 169.73602 
L 235.83724 169.860107 
L 227.8102 170.397224 
L 219.433351 171.359441 
L 210.774078 172.753634 
L 201.901631 174.581354 
L 192.886492 176.838756 
L 183.799736 179.516588 
L 174.712391 182.600234 
L 165.694798 186.069814 
L 156.815982 189.900348 
L 148.14304 194.061967 
L 139.740545 198.520183 
L 131.669983 203.236207 
L 123.989219 208.167317 
L 116.752001 213.267268 
L 110.007503 218.486743 
L 103.799922 223.773842 
L 98.168114 229.074597 
L 93.145296 234.333516 
L 88.75879 239.494149 
L 85.029836 244.499662 
L 81.973461 249.293427 
L 80.70047 251.593409 
L 79.59841 253.81961 
L 78.667392 255.965272 
L 77.907134 258.023759 
L 77.316968 259.988574 
L 76.895843 261.853379 
L 76.642327 263.61201 
L 76.55462 265.258495 
L 76.63055 266.787071 
L 76.86759 268.192197 
L 77.262864 269.468572 
L 77.813152 270.611149 
L 78.514905 271.61515 
L 79.364255 272.476077 
L 80.357023 273.18973 
L 81.488736 273.752214 
L 82.754638 274.159954 
L 84.149702 274.409705 
L 85.668647 274.498562 
L 87.305952 274.423969 
L 89.055869 274.183729 
L 90.912442 273.776008 
L 92.869523 273.199347 
L 94.920786 272.452663 
L 97.059748 271.535258 
L 99.279782 270.44682 
L 101.574139 269.187427 
L 103.935962 267.757551 
L 108.834167 264.3902 
L 113.918123 260.356406 
L 119.131036 255.67407 
L 124.416174 250.36725 
L 129.717458 244.466008 
L 134.980028 238.006189 
L 140.150802 231.02915 
L 145.179005 223.581425 
L 150.016677 215.714347 
L 154.61914 207.483617 
L 158.945433 198.94883 
L 162.958703 190.172961 
L 166.626552 181.221818 
L 169.921331 172.163458 
L 172.820382 163.067591 
L 175.306232 154.004952 
L 177.366724 145.046671 
L 178.995092 136.263629 
L 180.189979 127.725819 
L 180.955401 119.501712 
L 181.300641 111.657629 
L 181.240104 104.257138 
L 180.793103 97.360473 
L 179.983604 91.02398 
L 178.839908 85.2996 
L 178.152683 82.681861 
L 177.394307 80.23439 
L 176.569373 77.962237 
L 175.682674 75.870091 
L 174.739181 73.962277 
L 173.744037 72.242741 
L 172.702535 70.715042 
L 171.620106 69.382343 
L 170.502301 68.247407 
L 169.354775 67.312588 
L 168.183272 66.579824 
L 166.993605 66.050635 
L 165.791642 65.72612 
L 164.583284 65.606954 
L 163.374455 65.693382 
L 162.171077 65.985226 
L 160.979057 66.481879 
L 159.804271 67.182312 
L 158.65254 68.08507 
L 157.52962 69.188281 
L 156.441182 70.489657 
L 155.392795 71.986501 
L 154.38991 73.675713 
L 153.437842 75.553795 
L 152.54176 77.616863 
L 151.706664 79.860652 
L 150.937375 82.280529 
L 150.238518 84.871503 
L 149.614511 87.628234 
L 148.607589 93.615951 
L 147.947266 100.194515 
L 147.660065 107.310073 
L 147.768028 114.904579 
L 148.288435 122.916329 
L 149.23356 131.280524 
L 150.610487 139.929865 
L 152.420983 148.795165 
L 154.661418 157.80598 
L 157.322755 166.891244 
L 160.390588 175.979917 
L 163.845246 185.001618 
L 167.661948 193.887257 
L 171.811014 202.569649 
L 176.258134 210.98411 
L 180.964685 219.06902 
L 185.888093 226.76636 
L 190.982245 234.022211 
L 196.197938 240.787206 
L 201.483364 247.016944 
L 206.784627 252.67235 
L 212.046287 257.719978 
L 217.211919 262.132267 
L 222.224694 265.887731 
L 227.027965 268.971094 
L 229.333528 270.25768 
L 231.565854 271.373361 
L 233.718175 272.317995 
L 235.783843 273.091832 
L 237.756352 273.695509 
L 239.629349 274.130048 
L 241.396657 274.396849 
L 243.052287 274.497686 
L 244.590458 274.434699 
L 246.005612 274.210387 
L 247.292428 273.827601 
L 248.445839 273.289531 
L 249.461043 272.599702 
L 250.333522 271.761957 
L 251.059049 270.780449 
L 251.633706 269.65963 
L 252.053893 268.404233 
L 252.316336 267.019264 
L 252.418104 265.509985 
L 252.356612 263.881898 
L 252.129635 262.140733 
L 251.735309 260.29243 
L 251.172146 258.343123 
L 250.439032 256.299124 
L 249.535239 254.166905 
L 248.460423 251.953081 
L 247.214632 249.664393 
L 245.798305 247.307689 
L 244.212276 244.889905 
L 240.536413 239.899185 
L 236.201572 234.748821 
L 231.228503 229.495651 
L 225.64405 224.196178 
L 219.480968 218.905991 
L 212.777675 213.679198 
L 205.577954 208.567885 
L 197.930599 203.621592 
L 189.889009 198.886825 
L 181.510738 194.406603 
L 172.857003 190.220043 
L 163.992152 186.361986 
L 154.983102 182.862681 
L 145.898747 179.747505 
L 136.809346 177.036751 
L 127.785896 174.745458 
L 118.899492 172.88331 
L 110.220686 171.45458 
L 101.818848 170.458146 
L 93.761537 169.887552 
L 86.11388 169.731135 
L 78.937983 169.972203 
L 72.292356 170.589267 
L 66.23138 171.556323 
L 60.804807 172.843188 
L 58.343588 173.596063 
L 56.057297 174.41587 
L 53.950653 175.297831 
L 52.028011 176.236987 
L 50.293346 177.22821 
L 48.750249 178.266218 
L 47.401915 179.34559 
L 46.25114 180.460784 
L 45.300308 181.606152 
L 44.551392 182.775958 
L 44.005946 183.964392 
L 43.665103 185.165593 
L 43.529569 186.373658 
L 43.599626 187.582667 
L 43.875129 188.786696 
L 44.355505 189.979836 
L 45.039758 191.156209 
L 45.926467 192.309988 
L 47.013794 193.435411 
L 48.299483 194.5268 
L 49.78087 195.578578 
L 51.454886 196.585283 
L 53.318065 197.541589 
L 55.366553 198.442315 
L 57.596116 199.282447 
L 60.002149 200.057148 
L 62.579689 200.761778 
L 65.323424 201.391903 
L 71.286565 202.412017 
L 77.842604 203.086676 
L 84.937864 203.389186 
L 92.514458 203.297319 
L 100.510815 202.793603 
L 108.862249 201.865559 
L 117.501548 200.505893 
L 126.35959 198.712627 
L 135.365967 196.489173 
L 144.449627 193.844356 
L 153.539516 190.792366 
L 162.565214 187.352669 
L 171.45757 183.549847 
L 180.14931 179.413389 
L 188.575639 174.977425 
L 196.674805 170.280414 
L 204.388636 165.364781 
L 211.66304 160.276506 
L 218.448462 155.064678 
L 224.700296 149.781011 
L 230.379247 144.479326 
L 235.451641 139.215016 
L 239.889678 134.044475 
L 243.671628 129.024527 
L 246.781965 124.21184 
L 248.082144 121.900739 
L 249.211444 119.662331 
L 250.169695 117.503394 
L 250.957115 115.430585 
L 251.57431 113.450423 
L 252.022271 111.569272 
L 252.30237 109.793327 
L 252.416349 108.128589 
L 252.366321 106.580857 
L 252.154756 105.155708 
L 251.784477 103.858483 
L 251.258648 102.69427 
L 250.580767 101.66789 
L 249.754653 100.783887 
L 248.784434 100.04651 
L 247.674539 99.459702 
L 246.429679 99.027091 
L 245.054839 98.751974 
L 243.55526 98.637312 
L 241.936427 98.685716 
L 240.204051 98.899443 
L 238.364058 99.280382 
L 236.422565 99.830055 
L 234.385872 100.549603 
L 232.260437 101.439787 
L 230.052866 102.50098 
L 227.76989 103.733167 
L 225.418349 105.135939 
L 223.005173 106.708495 
L 218.021985 110.357777 
L 212.876891 114.666735 
L 207.62673 119.614866 
L 202.32803 125.175563 
L 197.036427 131.316304 
L 191.806099 137.998891 
L 186.689222 145.179746 
L 181.735448 152.81027 
L 176.991412 160.837237 
L 172.500281 169.203251 
L 168.301332 177.847229 
L 164.429586 186.704938 
L 160.915478 195.709552 
L 157.784586 204.792244 
L 155.057407 213.882799 
L 152.749192 222.910235 
L 150.869839 231.80345 
L 149.423838 240.491858 
L 148.41028 248.906029 
L 147.822919 256.978322 
L 147.650298 264.643498 
L 147.875919 271.839323 
L 148.47848 278.507132 
L 149.432151 284.59237 
L 150.706908 290.045092 
L 151.454255 292.520027 
L 152.268904 294.820426 
L 153.146094 296.941539 
L 154.080882 298.878985 
L 155.06815 300.628756 
L 156.10263 302.18723 
L 157.178909 303.551181 
L 158.291456 304.717782 
L 159.434631 305.684613 
L 160.602702 306.449671 
L 161.789868 307.011366 
L 162.990268 307.368535 
L 164.198003 307.520434 
L 165.407154 307.466749 
L 166.611797 307.207591 
L 167.806019 306.743498 
L 168.983942 306.075434 
L 170.139732 305.204785 
L 171.267622 304.133357 
L 172.361927 302.863371 
L 173.417062 301.397461 
L 174.427554 299.738663 
L 175.388064 297.890412 
L 176.293402 295.85653 
L 177.138539 293.641223 
L 177.918624 291.249065 
L 178.628999 288.684993 
L 179.265214 285.95429 
L 180.298472 280.015802 
L 180.987423 273.482373 
L 181.305206 266.407503 
L 181.229409 258.84892 
L 180.742363 250.868059 
L 179.831389 242.529493 
L 178.488982 233.900344 
L 176.712951 225.049673 
L 174.506493 216.047846 
L 171.878217 206.965902 
L 168.842101 197.874909 
L 165.417405 188.845322 
L 161.62851 179.946358 
L 157.504712 171.245373 
L 153.079966 162.807274 
L 148.392564 154.693944 
L 143.484779 146.963707 
L 138.402458 139.670828 
L 133.194577 132.86505 
L 127.912753 126.591183 
L 122.610736 120.88874 
L 117.343864 115.791624 
L 112.168504 111.327873 
L 107.141475 107.519462 
L 102.319459 104.382165 
L 100.002863 103.068398 
L 97.758417 101.925479 
L 95.592906 100.95361 
L 93.512998 100.152604 
L 91.525222 99.521885 
L 89.635958 99.060492 
L 87.851412 98.767085 
L 86.177603 98.639949 
L 84.620346 98.677003 
L 83.185237 98.875803 
L 81.877635 99.233555 
L 80.702649 99.747121 
L 79.665123 100.41303 
L 78.769623 101.227487 
L 78.020421 102.186389 
L 77.421486 103.28533 
L 76.97647 104.519622 
L 76.688699 105.8843 
L 76.561159 107.374143 
L 76.59649 108.983686 
L 76.796977 110.707234 
L 77.164541 112.53888 
L 77.70073 114.472518 
L 78.406717 116.501865 
L 79.283294 118.620473 
L 80.330865 120.821749 
L 81.549445 123.098969 
L 82.938657 125.445304 
L 84.497731 127.853827 
L 88.12041 132.829394 
L 92.403454 137.969128 
L 97.326604 143.21619 
L 102.863494 148.514029 
L 108.981833 153.806962 
L 115.643643 159.040742 
L 122.805557 164.163103 
L 130.419164 169.124284 
L 138.431418 173.87752 
L 146.785077 178.3795 
L 155.419196 182.590781 
L 164.269657 186.476168 
L 173.269727 190.005037 
L 182.350645 193.151614 
L 191.44224 195.895195 
L 200.47355 198.220316 
L 209.373465 200.116866 
L 218.071364 201.58014 
L 226.497761 202.610832 
L 234.584931 203.214977 
L 242.267529 203.403829 
L 249.483189 203.193688 
L 256.173093 202.605671 
L 262.282513 201.665433 
L 267.761312 200.402837 
L 270.249931 199.661049 
L 272.564408 198.851587 
L 274.699964 197.979198 
L 276.652187 197.048812 
L 278.417041 196.065531 
L 279.990872 195.034615 
L 281.370423 193.961463 
L 282.552833 192.851599 
L 283.535652 191.710654 
L 284.316841 190.544353 
L 284.894779 189.358494 
L 285.268267 188.158933 
L 285.436529 186.951564 
L 285.436529 186.951564 
" clip-path="url(#p2a5704bcf2)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $a$ -->
    <g style="fill: #ff0000" transform="translate(219.3341 308.469054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-61" d="M 1926 760 
C 1894 651 1894 639 1805 517 
C 1664 338 1382 64 1082 64 
C 819 64 672 300 672 677 
C 672 1028 870 1743 992 2012 
C 1210 2459 1510 2689 1760 2689 
C 2182 2689 2266 2165 2266 2114 
C 2266 2108 2246 2024 2240 2012 
L 1926 760 
z
M 2336 2395 
C 2266 2561 2093 2816 1760 2816 
C 1037 2816 256 1884 256 939 
C 256 307 627 -64 1062 -64 
C 1414 -64 1715 211 1894 422 
C 1958 45 2259 -64 2451 -64 
C 2643 -64 2797 51 2912 281 
C 3014 498 3104 888 3104 913 
C 3104 945 3078 971 3040 971 
C 2982 971 2976 939 2950 843 
C 2854 466 2733 64 2470 64 
C 2285 64 2272 230 2272 358 
C 2272 505 2291 575 2349 824 
C 2394 984 2426 1124 2477 1309 
C 2714 2267 2771 2497 2771 2535 
C 2771 2625 2701 2695 2605 2695 
C 2400 2695 2349 2472 2336 2395 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-61" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $0$ -->
    <g transform="translate(318.221008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p2a5704bcf2">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> n=4 <br> r=a cos n theta </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="335.472913pt" height="377.397722pt" viewBox="0 0 335.472913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:49:39.451541</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M -0 377.397722 
L 335.472913 377.397722 
L 335.472913 -0 
L -0 -0 
L -0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 293.006961 65.606302 
Q 293.006961 126.086302 293.006961 186.566302 
" clip-path="url(#p39b7e6b474)" style="fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #ff0000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 293.006961 65.455102 
L 296.030961 76.039102 
L 293.006961 73.922302 
L 293.006961 76.190302 
L 293.006961 76.190302 
L 293.006961 73.922302 
L 289.982961 76.039102 
z
" clip-path="url(#p39b7e6b474)" style="fill: #ff0000"/>
   </g>
   <g id="patch_4">
    <path d="M 293.006961 186.717502 
L 289.982961 176.133502 
L 293.006961 178.250302 
L 293.006961 175.982302 
L 293.006961 175.982302 
L 293.006961 178.250302 
L 296.030961 176.133502 
z
" clip-path="url(#p39b7e6b474)" style="fill: #ff0000"/>
   </g>
   <g id="line2d_1">
    <path d="M 164.486961 65.606302 
L 315.686961 65.606302 
" clip-path="url(#p39b7e6b474)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="patch_5">
    <path d="M 28.406961 186.566302 
Q 172.046961 186.566302 315.686961 186.566302 
" clip-path="url(#p39b7e6b474)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 315.838161 186.566302 
L 306.388161 190.346302 
L 308.278161 186.566302 
L 306.236961 186.566302 
L 306.236961 186.566302 
L 308.278161 186.566302 
L 306.388161 182.786302 
z
" clip-path="url(#p39b7e6b474)"/>
   </g>
   <g id="line2d_2">
    <path d="M 164.486961 322.646302 
L 164.486961 50.486302 
" clip-path="url(#p39b7e6b474)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(154.026858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(158.595905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_3">
    <path d="M 164.486961 186.566302 
L 170.532139 186.505848 
L 176.560396 186.324801 
L 182.554864 186.024102 
L 188.498781 185.605316 
L 194.375544 185.070626 
L 200.168761 184.422821 
L 205.862303 183.665288 
L 211.440351 182.801996 
L 216.887451 181.837483 
L 222.188559 180.776831 
L 227.329087 179.625651 
L 232.29495 178.390059 
L 237.072611 177.076648 
L 241.649118 175.692464 
L 246.012149 174.244975 
L 250.150047 172.742039 
L 254.051856 171.191876 
L 257.707354 169.603031 
L 261.107084 167.984335 
L 264.242381 166.344877 
L 267.105401 164.693957 
L 269.689138 163.041052 
L 271.987448 161.395776 
L 273.995068 159.767839 
L 275.707623 158.167004 
L 277.121644 156.60305 
L 278.234573 155.085725 
L 279.044768 153.624709 
L 279.551509 152.229569 
L 279.75499 150.909722 
L 279.65632 149.674388 
L 279.257518 148.532555 
L 278.561498 147.492936 
L 277.572057 146.563933 
L 276.293863 145.753596 
L 274.732433 145.069591 
L 272.894114 144.51916 
L 270.786056 144.109091 
L 268.416187 143.845682 
L 265.793186 143.734717 
L 262.926447 143.781429 
L 259.826051 143.990481 
L 256.502725 144.365938 
L 252.967806 144.911243 
L 249.233201 145.629201 
L 245.311346 146.521959 
L 241.215164 147.590991 
L 236.958017 148.837084 
L 232.553663 150.260329 
L 228.016207 151.860116 
L 223.360056 153.635123 
L 218.599866 155.583318 
L 213.750496 157.701958 
L 208.826958 159.987594 
L 203.844364 162.436073 
L 198.817879 165.042548 
L 193.76267 167.801493 
L 188.693854 170.706709 
L 183.626452 173.751347 
L 178.575338 176.927925 
L 173.555188 180.228346 
L 168.580441 183.643929 
L 163.665245 187.165427 
L 158.823414 190.783061 
L 154.068387 194.486548 
L 149.413183 198.265135 
L 144.870364 202.107633 
L 140.451992 206.002452 
L 136.169598 209.937644 
L 132.034141 213.900934 
L 128.055983 217.879772 
L 124.244851 221.861365 
L 120.609816 225.832728 
L 117.159264 229.780726 
L 113.900877 233.692118 
L 110.841608 237.553605 
L 107.987666 241.351878 
L 105.344503 245.07366 
L 102.9168 248.705758 
L 100.708457 252.235108 
L 98.72259 255.648823 
L 96.961525 258.934238 
L 95.426797 262.078958 
L 94.119155 265.070902 
L 93.038563 267.89835 
L 92.184211 270.549984 
L 91.554525 273.014931 
L 91.147177 275.282807 
L 90.959105 277.343753 
L 90.986528 279.188476 
L 91.22497 280.808284 
L 91.669278 282.195121 
L 92.313654 283.3416 
L 93.151676 284.241033 
L 94.176334 284.887458 
L 95.380056 285.275667 
L 96.754745 285.401228 
L 98.291812 285.260506 
L 99.982215 284.850682 
L 101.816497 284.169767 
L 103.784821 283.216615 
L 105.877017 281.990934 
L 108.082619 280.493293 
L 110.39091 278.725124 
L 112.790963 276.688726 
L 115.271685 274.387261 
L 117.821864 271.82475 
L 120.430205 269.006066 
L 123.085386 265.936923 
L 125.776089 262.623861 
L 128.491054 259.074233 
L 131.219115 255.296182 
L 133.949247 251.298624 
L 136.670605 247.091218 
L 139.372566 242.684341 
L 142.044766 238.089059 
L 144.677143 233.317096 
L 147.25997 228.380796 
L 149.783892 223.293089 
L 152.239958 218.067451 
L 154.619656 212.717863 
L 156.914941 207.25877 
L 159.118264 201.705037 
L 161.222598 196.071898 
L 163.221459 190.374917 
L 165.108934 184.629931 
L 166.879694 178.853009 
L 168.529012 173.060393 
L 170.052782 167.268455 
L 171.447525 161.493637 
L 172.710401 155.752407 
L 173.839215 150.0612 
L 174.832424 144.43637 
L 175.689134 138.894134 
L 176.4091 133.450526 
L 176.992727 128.121338 
L 177.441057 122.922075 
L 177.755765 117.867901 
L 177.939144 112.973596 
L 177.994097 108.2535 
L 177.924113 103.721473 
L 177.733256 99.39085 
L 177.42614 95.274393 
L 177.007906 91.384253 
L 176.4842 87.731932 
L 175.861143 84.328242 
L 175.145304 81.183272 
L 174.343667 78.306354 
L 173.463605 75.706035 
L 172.512838 73.390044 
L 171.499402 71.365275 
L 170.431615 69.637754 
L 169.318036 68.212629 
L 168.167428 67.094149 
L 166.988717 66.285648 
L 165.790957 65.789538 
L 164.583284 65.607299 
L 163.374879 65.739475 
L 162.174926 66.185671 
L 160.992573 66.944556 
L 159.836887 68.013867 
L 158.71682 69.390415 
L 157.641161 71.070096 
L 156.618506 73.047905 
L 155.657212 75.317954 
L 154.765363 77.873486 
L 153.950733 80.706902 
L 153.220751 83.809786 
L 152.582466 87.172927 
L 152.042515 90.786355 
L 151.607093 94.639371 
L 151.281922 98.72058 
L 151.072226 103.017934 
L 150.982705 107.518762 
L 151.017511 112.20982 
L 151.180227 117.077328 
L 151.473849 122.107019 
L 151.900769 127.28418 
L 152.462761 132.593706 
L 153.16097 138.020141 
L 153.995901 143.547736 
L 154.967413 149.160494 
L 156.074717 154.842221 
L 157.316372 160.576584 
L 158.690286 166.347154 
L 160.193723 172.137468 
L 161.823305 177.931074 
L 163.575023 183.711588 
L 165.444251 189.46274 
L 167.425753 195.168434 
L 169.513708 200.81279 
L 171.701723 206.380199 
L 173.982854 211.85537 
L 176.349634 217.223377 
L 178.794095 222.469704 
L 181.307798 227.580295 
L 183.881859 232.541589 
L 186.506987 237.340567 
L 189.17351 241.964789 
L 191.871418 246.402431 
L 194.590391 250.642319 
L 197.319847 254.673965 
L 200.048972 258.487591 
L 202.766767 262.074165 
L 205.462086 265.425416 
L 208.123681 268.533867 
L 210.740241 271.392844 
L 213.30044 273.996503 
L 215.792978 276.339835 
L 218.206625 278.418683 
L 220.530267 280.229748 
L 222.752947 281.770593 
L 224.863912 283.039648 
L 226.852654 284.036207 
L 228.708951 284.760425 
L 230.422913 285.213313 
L 231.985018 285.396726 
L 233.386155 285.313353 
L 234.617661 284.966698 
L 235.671359 284.361069 
L 236.53959 283.501552 
L 237.215253 282.393989 
L 237.691829 281.044956 
L 237.96342 279.461729 
L 238.024769 277.652262 
L 237.871289 275.625145 
L 237.499088 273.38958 
L 236.904988 270.955338 
L 236.086542 268.332721 
L 235.042057 265.532528 
L 233.770598 262.566007 
L 232.272008 259.444819 
L 230.546908 256.18099 
L 228.596709 252.786867 
L 226.42361 249.275076 
L 224.030603 245.658471 
L 221.421462 241.950093 
L 218.600744 238.163115 
L 215.57378 234.310805 
L 212.346659 230.406469 
L 208.926218 226.463413 
L 205.320021 222.494889 
L 201.536346 218.514051 
L 197.584154 214.533913 
L 193.473071 210.567299 
L 189.213361 206.626803 
L 184.815888 202.724745 
L 180.292095 198.873128 
L 175.653962 195.083602 
L 170.913973 191.367423 
L 166.085077 187.735415 
L 161.180649 184.197937 
L 156.214448 180.764853 
L 151.20057 177.445494 
L 146.15341 174.248635 
L 141.08761 171.182466 
L 136.018018 168.25457 
L 130.959631 165.471897 
L 125.927557 162.840751 
L 120.936957 160.366767 
L 116.002999 158.0549 
L 111.140809 155.909413 
L 106.365416 153.93387 
L 101.691708 152.131126 
L 97.134376 150.503326 
L 92.707871 149.051905 
L 88.426348 147.777585 
L 84.303625 146.680389 
L 80.353129 145.759638 
L 76.587856 145.013966 
L 73.020322 144.441334 
L 69.662522 144.039041 
L 66.525887 143.803743 
L 63.621243 143.731472 
L 60.958776 143.817661 
L 58.547992 144.057164 
L 56.397685 144.444284 
L 54.515907 144.972803 
L 52.909932 145.636008 
L 51.586238 146.426727 
L 50.550474 147.33736 
L 49.807444 148.359915 
L 49.361088 149.486045 
L 49.214459 150.707082 
L 49.36972 152.014081 
L 49.828125 153.397855 
L 50.590015 154.849016 
L 51.654815 156.358019 
L 53.02103 157.915198 
L 54.686248 159.510814 
L 56.647144 161.135089 
L 58.899487 162.778255 
L 61.438154 164.430592 
L 64.25714 166.082467 
L 67.349577 167.724378 
L 70.707751 169.346995 
L 74.323127 170.941193 
L 78.186372 172.498096 
L 82.287384 174.009113 
L 86.615322 175.465969 
L 91.158638 176.860746 
L 95.905113 178.185911 
L 100.841894 179.434351 
L 105.955533 180.599396 
L 111.23203 181.674855 
L 116.656875 182.655035 
L 122.215093 183.534765 
L 127.89129 184.309422 
L 133.669705 184.974945 
L 139.534253 185.527853 
L 145.468582 185.965261 
L 151.456117 186.284887 
L 157.48012 186.48507 
L 163.523735 186.564768 
L 169.570047 186.523565 
L 175.60213 186.361678 
L 181.603105 186.079947 
L 187.556189 185.679838 
L 193.444751 185.163436 
L 199.252362 184.533435 
L 204.962846 183.793127 
L 210.560333 182.94639 
L 216.029307 181.997671 
L 221.354655 180.951968 
L 226.521715 179.81481 
L 231.516317 178.592232 
L 236.324835 177.290755 
L 240.93422 175.917353 
L 245.332049 174.479429 
L 249.506555 172.984783 
L 253.446668 171.441578 
L 257.142048 169.858309 
L 260.583114 168.243765 
L 263.761073 166.606996 
L 266.667948 164.957271 
L 269.296598 163.304042 
L 271.640743 161.656903 
L 273.694976 160.025551 
L 275.45478 158.419745 
L 276.916542 156.849263 
L 278.077558 155.323861 
L 278.936041 153.853233 
L 279.491122 152.446967 
L 279.742851 151.114506 
L 279.692192 149.865104 
L 279.341018 148.707788 
L 278.692103 147.651319 
L 277.749103 146.70415 
L 276.51655 145.874391 
L 274.999827 145.169769 
L 273.205148 144.597598 
L 271.139539 144.164739 
L 268.810805 143.877572 
L 266.227508 143.741962 
L 263.398931 143.763234 
L 260.335047 143.946144 
L 257.046482 144.294851 
L 253.544479 144.8129 
L 249.840858 145.5032 
L 245.947973 146.368002 
L 241.878672 147.408889 
L 237.646249 148.626758 
L 233.264404 150.021812 
L 228.747189 151.593552 
L 224.108967 153.34077 
L 219.364356 155.261547 
L 214.528188 157.353254 
L 209.615452 159.612553 
L 204.641249 162.035403 
L 199.620739 164.617068 
L 194.569091 167.352127 
L 189.501434 170.234489 
L 184.432806 173.257407 
L 179.378109 176.413498 
L 174.352055 179.694762 
L 169.369122 183.092608 
L 164.443507 186.597879 
L 159.589081 190.200877 
L 154.819346 193.891399 
L 150.147391 197.658763 
L 145.585852 201.491848 
L 141.146874 205.379126 
L 136.842074 209.308702 
L 132.682506 213.268351 
L 128.678627 217.245563 
L 124.840269 221.227582 
L 121.176608 225.201451 
L 117.696143 229.154054 
L 114.406666 233.072165 
L 111.315249 236.942492 
L 108.428221 240.751723 
L 105.751155 244.486573 
L 103.288854 248.133833 
L 101.045346 251.680416 
L 99.02387 255.113402 
L 97.226879 258.420088 
L 95.656033 261.588033 
L 94.312206 264.605104 
L 93.195487 267.459519 
L 92.305189 270.139893 
L 91.639858 272.635282 
L 91.197285 274.935218 
L 90.974525 277.029758 
L 90.967909 278.909516 
L 91.17307 280.565701 
L 91.584963 281.990155 
L 92.197889 283.175381 
L 93.005525 284.114578 
L 94.000951 284.801667 
L 95.176683 285.231318 
L 96.524705 285.398974 
L 98.036505 285.300872 
L 99.703111 284.934061 
L 101.515126 284.29642 
L 103.462775 283.386667 
L 105.535936 282.204375 
L 107.724188 280.749975 
L 110.016851 279.02476 
L 112.403028 277.030892 
L 114.871651 274.771396 
L 117.411522 272.250156 
L 120.011358 269.471911 
L 122.659837 266.44224 
L 125.345639 263.167555 
L 128.05749 259.655078 
L 130.784208 255.912831 
L 133.514741 251.949605 
L 136.238214 247.774943 
L 138.943965 243.399111 
L 141.621587 238.833068 
L 144.260967 234.088433 
L 146.852322 229.177456 
L 149.386235 224.112974 
L 151.85369 218.90838 
L 154.246101 213.577577 
L 156.555349 208.13494 
L 158.773803 202.595269 
L 160.894351 196.973742 
L 162.910421 191.285875 
L 164.816008 185.547465 
L 166.605688 179.774545 
L 168.27464 173.983336 
L 169.818654 168.19019 
L 171.234153 162.411543 
L 172.518195 156.663861 
L 173.668481 150.96359 
L 174.683364 145.327098 
L 175.561846 139.77063 
L 176.303581 134.310249 
L 176.908868 128.961792 
L 177.37865 123.740811 
L 177.714502 118.66253 
L 177.918618 113.741791 
L 177.993806 108.993009 
L 177.943463 104.430122 
L 177.771562 100.066553 
L 177.482631 95.915156 
L 177.08173 91.988185 
L 176.574424 88.297246 
L 175.966761 84.853263 
L 175.265242 81.666443 
L 174.476786 78.746241 
L 173.608706 76.10133 
L 172.668669 73.739572 
L 171.664664 71.667995 
L 170.604967 69.892765 
L 169.498099 68.419172 
L 168.352794 67.251606 
L 167.177956 66.393551 
L 165.982619 65.847564 
L 164.775911 65.615276 
L 163.567007 65.697379 
L 162.365095 66.093627 
L 161.179329 66.802839 
L 160.018793 67.8229 
L 158.89246 69.150767 
L 157.809147 70.782481 
L 156.777484 72.713181 
L 155.805869 74.937115 
L 154.902431 77.447667 
L 154.074996 80.237369 
L 153.331051 83.297932 
L 152.677706 86.620271 
L 152.121667 90.194535 
L 151.669201 94.010138 
L 151.326108 98.055795 
L 151.097693 102.319557 
L 150.98874 106.788851 
L 151.00349 111.450521 
L 151.145618 116.29087 
L 151.418215 121.295705 
L 151.823771 126.450381 
L 152.364158 131.739852 
L 153.040622 137.148715 
L 153.85377 142.661264 
L 154.803565 148.261538 
L 155.889322 153.933371 
L 157.109702 159.660448 
L 158.462719 165.426354 
L 159.945737 171.214626 
L 161.555481 177.008807 
L 163.288041 182.792499 
L 165.138888 188.54941 
L 167.102884 194.263413 
L 169.174298 199.918591 
L 171.346828 205.499288 
L 173.613615 210.990158 
L 175.967275 216.376215 
L 178.399918 221.642876 
L 180.903176 226.776006 
L 183.468237 231.761964 
L 186.085869 236.587642 
L 188.746462 241.240504 
L 191.440054 245.708627 
L 194.156374 249.980731 
L 196.884879 254.046215 
L 199.614789 257.895189 
L 202.335131 261.518498 
L 205.034781 264.90775 
L 207.702503 268.055338 
L 210.326994 270.954461 
L 212.896927 273.59914 
L 215.400995 275.984233 
L 217.827954 278.105448 
L 220.166669 279.959346 
L 222.406155 281.543356 
L 224.535623 282.855767 
L 226.544523 283.895737 
L 228.422585 284.663284 
L 230.159864 285.159283 
L 231.746775 285.385456 
L 233.174141 285.344358 
L 234.433224 285.039367 
L 235.515767 284.474663 
L 236.414027 283.65521 
L 237.12081 282.586731 
L 237.629506 281.275686 
L 237.934113 279.729243 
L 238.029271 277.955248 
L 237.910284 275.962195 
L 237.573149 273.759189 
L 237.014573 271.355913 
L 236.231991 268.762587 
L 235.223588 265.989933 
L 233.988309 263.049132 
L 232.525872 259.951781 
L 230.836773 256.709851 
L 228.922297 253.335641 
L 226.784519 249.841735 
L 224.426303 246.240955 
L 221.8513 242.546313 
L 219.063942 238.770967 
L 216.069438 234.928172 
L 212.873757 231.031231 
L 209.483616 227.093453 
L 205.906468 223.1281 
L 202.150476 219.148348 
L 198.224495 215.167235 
L 194.138048 211.197617 
L 189.901296 207.252129 
L 185.525013 203.343137 
L 181.02055 199.482697 
L 176.399804 195.682518 
L 171.675181 191.953921 
L 166.859561 188.307801 
L 161.966251 184.754595 
L 157.008952 181.304245 
L 152.001711 177.966172 
L 146.958877 174.749239 
L 141.895057 171.661732 
L 136.825067 168.711332 
L 131.763887 165.905091 
L 126.726608 163.249417 
L 121.728387 160.750053 
L 116.784394 158.412063 
L 111.909764 156.239821 
L 107.119546 154.237003 
L 102.428654 152.406576 
L 97.851813 150.750799 
L 93.403516 149.271219 
L 89.097968 147.968674 
L 84.949044 146.843296 
L 80.970236 145.894516 
L 77.174613 145.12108 
L 73.574769 144.521053 
L 70.182785 144.091838 
L 67.010185 143.830193 
L 64.067894 143.732249 
L 61.366202 143.79353 
L 58.914726 144.008983 
L 56.722376 144.372996 
L 54.797323 144.879432 
L 53.146967 145.521654 
L 51.777916 146.292563 
L 50.695951 147.184623 
L 49.906013 148.189903 
L 49.412178 149.30011 
L 49.217646 150.506624 
L 49.324719 151.800541 
L 49.734796 153.172711 
L 50.448367 154.613776 
L 51.465 156.114211 
L 52.783348 157.664368 
L 54.401144 159.254516 
L 56.315208 160.874881 
L 58.521454 162.515691 
L 61.014899 164.167215 
L 63.789678 165.819803 
L 66.839059 167.463931 
L 70.15546 169.090237 
L 73.730477 170.689563 
L 77.554902 172.252989 
L 81.618753 173.771876 
L 85.911305 175.237898 
L 90.42112 176.643077 
L 95.136083 177.979816 
L 100.043441 179.240934 
L 105.129836 180.419688 
L 110.381354 181.50981 
L 115.783563 182.505524 
L 121.321559 183.401576 
L 126.980013 184.193255 
L 132.743217 184.876407 
L 138.595136 185.44746 
L 144.519456 185.90343 
L 150.499634 186.241943 
L 156.518955 186.461235 
L 162.560578 186.560165 
L 162.560578 186.560165 
" clip-path="url(#p39b7e6b474)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $a$ -->
    <g style="fill: #ff0000" transform="translate(294.9341 131.565054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-61" d="M 1926 760 
C 1894 651 1894 639 1805 517 
C 1664 338 1382 64 1082 64 
C 819 64 672 300 672 677 
C 672 1028 870 1743 992 2012 
C 1210 2459 1510 2689 1760 2689 
C 2182 2689 2266 2165 2266 2114 
C 2266 2108 2246 2024 2240 2012 
L 1926 760 
z
M 2336 2395 
C 2266 2561 2093 2816 1760 2816 
C 1037 2816 256 1884 256 939 
C 256 307 627 -64 1062 -64 
C 1414 -64 1715 211 1894 422 
C 1958 45 2259 -64 2451 -64 
C 2643 -64 2797 51 2912 281 
C 3014 498 3104 888 3104 913 
C 3104 945 3078 971 3040 971 
C 2982 971 2976 939 2950 843 
C 2854 466 2733 64 2470 64 
C 2285 64 2272 230 2272 358 
C 2272 505 2291 575 2349 824 
C 2394 984 2426 1124 2477 1309 
C 2714 2267 2771 2497 2771 2535 
C 2771 2625 2701 2695 2605 2695 
C 2400 2695 2349 2472 2336 2395 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-61" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $0$ -->
    <g transform="translate(318.221008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p39b7e6b474">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> n=5 <br> r=a sin n theta </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="335.472913pt" height="377.397722pt" viewBox="0 0 335.472913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-05T15:32:00.587098</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M -0 377.397722 
L 335.472913 377.397722 
L 335.472913 -0 
L -0 -0 
L -0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 164.486961 186.566302 
Q 207.252779 143.800484 250.018597 101.034665 
" clip-path="url(#p317c5555db)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #ff0000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_3">
    <path d="M 28.406961 186.566302 
Q 172.046961 186.566302 315.686961 186.566302 
" clip-path="url(#p317c5555db)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_4">
    <path d="M 315.838161 186.566302 
L 306.388161 190.346302 
L 308.278161 186.566302 
L 306.236961 186.566302 
L 306.236961 186.566302 
L 308.278161 186.566302 
L 306.388161 182.786302 
z
" clip-path="url(#p317c5555db)"/>
   </g>
   <g id="line2d_1">
    <path d="M 164.486961 322.646302 
L 164.486961 50.486302 
" clip-path="url(#p317c5555db)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_1">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(154.026858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(158.595905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_2">
    <path d="M 164.486961 186.566302 
L 164.583697 181.730159 
L 164.873517 176.907552 
L 165.355263 172.11197 
L 166.027007 167.356806 
L 166.886062 162.655314 
L 167.928987 158.020562 
L 169.151605 153.465382 
L 170.549014 149.002332 
L 172.115606 144.643648 
L 173.84509 140.401204 
L 175.730508 136.286467 
L 177.764271 132.310462 
L 179.938176 128.483731 
L 182.243442 124.816296 
L 184.670741 121.317628 
L 187.21023 117.99661 
L 189.85159 114.861509 
L 192.584061 111.919948 
L 195.396482 109.178878 
L 198.277333 106.644556 
L 201.214773 104.322526 
L 204.19669 102.217594 
L 207.210738 100.333819 
L 210.244388 98.674496 
L 213.284968 97.242148 
L 216.319716 96.038516 
L 219.335819 95.064553 
L 222.320469 94.320428 
L 225.2609 93.805518 
L 228.144442 93.51842 
L 230.958564 93.456952 
L 233.690923 93.618163 
L 236.329405 93.998347 
L 238.862173 94.593055 
L 241.277709 95.397113 
L 243.564856 96.404645 
L 245.712861 97.609089 
L 247.711413 99.003227 
L 249.550682 100.579212 
L 251.221355 102.328592 
L 252.71467 104.242349 
L 254.022452 106.310928 
L 255.137137 108.524272 
L 256.051808 110.871862 
L 256.760215 113.342755 
L 257.256801 115.925622 
L 257.536726 118.608792 
L 257.595878 121.380297 
L 257.430899 124.227911 
L 257.039191 127.139198 
L 256.418927 130.101558 
L 255.569063 133.102272 
L 254.489342 136.128547 
L 253.180292 139.167568 
L 251.643231 142.20654 
L 249.880259 145.232736 
L 247.894255 148.233544 
L 245.688868 151.196514 
L 243.268503 154.109402 
L 240.638307 156.960214 
L 237.804154 159.737254 
L 234.772625 162.42916 
L 231.550981 165.024951 
L 228.147147 167.514066 
L 224.569676 169.8864 
L 220.827725 172.132342 
L 216.931023 174.242812 
L 212.889837 176.209292 
L 208.714934 178.023857 
L 204.417548 179.679205 
L 200.009339 181.168682 
L 195.502352 182.486309 
L 190.908977 183.626801 
L 186.241903 184.585587 
L 181.514077 185.358826 
L 176.738657 185.943425 
L 171.928968 186.337043 
L 167.098453 186.538106 
L 162.260628 186.545811 
L 157.429035 186.360126 
L 152.617194 185.981794 
L 147.838555 185.412328 
L 143.106454 184.654007 
L 138.434065 183.709866 
L 133.834352 182.583686 
L 129.320028 181.27998 
L 124.903506 179.803977 
L 120.596863 178.161603 
L 116.411789 176.359458 
L 112.359553 174.404793 
L 108.450963 172.305485 
L 104.696325 170.070005 
L 101.105412 167.707391 
L 97.687429 165.227212 
L 94.450979 162.639534 
L 91.404035 159.954884 
L 88.553914 157.184213 
L 85.907252 154.33885 
L 83.469979 151.43047 
L 81.247301 148.471043 
L 79.243684 145.472794 
L 77.462836 142.44816 
L 75.907697 139.40974 
L 74.580431 136.370255 
L 73.482418 133.342494 
L 72.61425 130.339276 
L 71.97573 127.373395 
L 71.565878 124.457577 
L 71.382928 121.604434 
L 71.424346 118.826417 
L 71.686831 116.13577 
L 72.166332 113.544484 
L 72.858065 111.064255 
L 73.75653 108.706439 
L 74.855533 106.482013 
L 76.148207 104.401532 
L 77.627039 102.475089 
L 79.283903 100.712281 
L 81.11008 99.122171 
L 83.096301 97.713256 
L 85.232777 96.493433 
L 87.509232 95.469972 
L 89.914947 94.649485 
L 92.438797 94.037907 
L 95.069291 93.640468 
L 97.794615 93.461674 
L 100.602676 93.505291 
L 103.481147 93.774331 
L 106.41751 94.271038 
L 109.399105 94.996877 
L 112.413173 95.952533 
L 115.446906 97.137901 
L 118.48749 98.552089 
L 121.522158 100.193419 
L 124.538228 102.059431 
L 127.523159 104.14689 
L 130.464588 106.451799 
L 133.350383 108.969409 
L 136.16868 111.694235 
L 138.907932 114.620076 
L 141.556947 117.740036 
L 144.104933 121.046543 
L 146.541533 124.531382 
L 148.856865 128.185717 
L 151.04156 132.000123 
L 153.086791 135.964621 
L 154.984309 140.068708 
L 156.726474 144.301397 
L 158.306277 148.651255 
L 159.717373 153.106438 
L 160.954099 157.654737 
L 162.011496 162.28362 
L 162.885329 166.980273 
L 163.572098 171.731647 
L 164.069055 176.5245 
L 164.374211 181.345448 
L 164.486347 186.181008 
L 164.405014 191.017647 
L 164.130537 195.841827 
L 163.664014 200.640054 
L 163.007312 205.398924 
L 162.163057 210.105171 
L 161.13463 214.745712 
L 159.926151 219.307693 
L 158.542465 223.778532 
L 156.989124 228.145967 
L 155.272366 232.398094 
L 153.399094 236.52341 
L 151.376852 240.510856 
L 149.213793 244.349849 
L 146.918653 248.030323 
L 144.500717 251.542764 
L 141.96979 254.87824 
L 139.336153 258.028434 
L 136.610534 260.985671 
L 133.804062 263.742945 
L 130.928231 266.293943 
L 127.994856 268.633065 
L 125.016031 270.755444 
L 122.004085 272.656961 
L 118.971533 274.33426 
L 115.931038 275.784757 
L 112.895357 277.006648 
L 109.877299 277.998916 
L 106.889676 278.761332 
L 103.945258 279.294453 
L 101.056725 279.599623 
L 98.236619 279.67896 
L 95.497302 279.535356 
L 92.850906 279.172456 
L 90.309293 278.594651 
L 87.884008 277.807058 
L 85.586238 276.815497 
L 83.426769 275.626478 
L 81.415949 274.247166 
L 79.563647 272.685361 
L 77.87922 270.949465 
L 76.371473 269.048454 
L 75.048632 266.991842 
L 73.918307 264.789647 
L 72.987471 262.452351 
L 72.262426 259.990867 
L 71.748784 257.416494 
L 71.451446 254.740876 
L 71.37458 251.97596 
L 71.521605 249.133954 
L 71.895182 246.227277 
L 72.497197 243.268519 
L 73.328757 240.270392 
L 74.390183 237.245682 
L 75.681008 234.207207 
L 77.199979 231.167764 
L 78.945057 228.140087 
L 80.913423 225.136798 
L 83.101492 222.170363 
L 85.504917 219.253044 
L 88.118609 216.396856 
L 90.936752 213.61352 
L 93.952821 210.914427 
L 97.159607 208.310589 
L 100.549239 205.812603 
L 104.11321 203.43061 
L 107.842412 201.174263 
L 111.72716 199.052686 
L 115.757229 197.074441 
L 119.92189 195.247503 
L 124.209944 193.579223 
L 128.609764 192.076309 
L 133.109335 190.744794 
L 137.696292 189.590019 
L 142.357969 188.616614 
L 147.081437 187.828475 
L 151.853553 187.228759 
L 156.661004 186.819865 
L 161.490355 186.603428 
L 166.328094 186.580315 
L 171.16068 186.750617 
L 175.974588 187.113653 
L 180.756361 187.667972 
L 185.492653 188.411355 
L 190.170276 189.340827 
L 194.776246 190.452667 
L 199.297829 191.742418 
L 203.722586 193.204909 
L 208.038413 194.834267 
L 212.233586 196.623947 
L 216.296803 198.566747 
L 220.217217 200.654839 
L 223.98448 202.879799 
L 227.588775 205.232633 
L 231.020852 207.703813 
L 234.272059 210.28331 
L 237.334371 212.960634 
L 240.200418 215.724866 
L 242.863508 218.564704 
L 245.317656 221.468501 
L 247.557596 224.424308 
L 249.578804 227.419919 
L 251.37751 230.442912 
L 252.950712 233.480698 
L 254.296185 236.520567 
L 255.412486 239.549731 
L 256.298961 242.555373 
L 256.955742 245.524695 
L 257.38375 248.444964 
L 257.584685 251.303556 
L 257.561023 254.088007 
L 257.316004 256.786054 
L 256.853619 259.385686 
L 256.178594 261.87518 
L 255.296373 264.243151 
L 254.213097 266.478591 
L 252.935579 268.570912 
L 251.471281 270.50998 
L 249.828283 272.286158 
L 248.015256 273.890339 
L 246.041427 275.313981 
L 243.916546 276.549136 
L 241.650851 277.588486 
L 239.255026 278.425362 
L 236.740167 279.053777 
L 234.117737 279.468444 
L 231.399525 279.664797 
L 228.597603 279.639012 
L 225.724283 279.388015 
L 222.792067 278.909502 
L 219.813608 278.201944 
L 216.801656 277.264596 
L 213.76902 276.097499 
L 210.728512 274.701481 
L 207.692908 273.078159 
L 204.674895 271.229931 
L 201.687029 269.159969 
L 198.741687 266.872212 
L 195.851023 264.371349 
L 193.026924 261.662806 
L 190.280963 258.752728 
L 187.62436 255.647958 
L 185.067944 252.356013 
L 182.622105 248.88506 
L 180.296765 245.243885 
L 178.101337 241.441867 
L 176.04469 237.488943 
L 174.135121 233.395575 
L 172.38032 229.172713 
L 170.787346 224.831758 
L 169.362599 220.384519 
L 168.111796 215.84318 
L 167.039953 211.220248 
L 166.151365 206.528516 
L 165.449589 201.781017 
L 164.937434 196.990978 
L 164.616949 192.171774 
L 164.489415 187.336882 
L 164.489415 187.336882 
" clip-path="url(#p317c5555db)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $a$ -->
    <g style="fill: #ff0000" transform="translate(209.179918 152.303236) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-61" d="M 1926 760 
C 1894 651 1894 639 1805 517 
C 1664 338 1382 64 1082 64 
C 819 64 672 300 672 677 
C 672 1028 870 1743 992 2012 
C 1210 2459 1510 2689 1760 2689 
C 2182 2689 2266 2165 2266 2114 
C 2266 2108 2246 2024 2240 2012 
L 1926 760 
z
M 2336 2395 
C 2266 2561 2093 2816 1760 2816 
C 1037 2816 256 1884 256 939 
C 256 307 627 -64 1062 -64 
C 1414 -64 1715 211 1894 422 
C 1958 45 2259 -64 2451 -64 
C 2643 -64 2797 51 2912 281 
C 3014 498 3104 888 3104 913 
C 3104 945 3078 971 3040 971 
C 2982 971 2976 939 2950 843 
C 2854 466 2733 64 2470 64 
C 2285 64 2272 230 2272 358 
C 2272 505 2291 575 2349 824 
C 2394 984 2426 1124 2477 1309 
C 2714 2267 2771 2497 2771 2535 
C 2771 2625 2701 2695 2605 2695 
C 2400 2695 2349 2472 2336 2395 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-61" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $0$ -->
    <g transform="translate(318.221008 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p317c5555db">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> n=2 <br> r=a sin n theta </figcaption>

Polar Equations of Conics

Conic: The locus of a point in the plane that moves so that its distance from a fixed point (focus) is in a constant ratio to its distance from a fixed line (directrix) is a conic. The constant ratio is the eccentricity of the conic and is denoted by .
The type of conic depends on :
  • If , the conic is an ellipse.
  • If , the conic is a parabola.
  • If , the conic is a hyperbola.
Ellipse:
Parabola:
= 1
Hyperbola:
'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="335.472913pt" height="377.397722pt" viewBox="0 0 335.472913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-06T02:45:15.493473</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M -0 377.397722 
L 335.472913 377.397722 
L 335.472913 -0 
L -0 -0 
L -0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="text_1">
    <!-- Directrix -->
    <g style="fill: #0000ff" transform="translate(23.366961 342.746983) scale(0.2 -0.2)">
     <defs>
      <path id="CMSS17-44" d="M 570 4416 
L 570 0 
L 2144 0 
C 3194 0 4000 980 4000 2170 
C 4000 3398 3194 4416 2144 4416 
L 570 4416 
z
M 1094 357 
L 1094 4059 
L 2003 4059 
C 2861 4059 3475 3277 3475 2170 
C 3475 1107 2867 357 2003 357 
L 1094 357 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-69" d="M 979 4183 
L 442 4183 
L 442 3648 
L 979 3648 
L 979 4183 
z
M 947 2739 
L 474 2739 
L 474 0 
L 947 0 
L 947 2739 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-72" d="M 954 1363 
C 954 1965 1395 2368 1958 2368 
L 1958 2789 
C 1549 2789 1165 2585 934 2253 
L 934 2758 
L 480 2758 
L 480 0 
L 954 0 
L 954 1363 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-65" d="M 2502 1377 
C 2502 1590 2490 2003 2285 2345 
C 2061 2713 1696 2816 1421 2816 
C 755 2816 192 2188 192 1375 
C 192 582 774 -64 1510 -64 
C 1798 -64 2150 19 2470 248 
C 2470 274 2458 414 2451 420 
C 2451 433 2432 630 2432 656 
C 2125 407 1773 325 1517 325 
C 1107 325 666 667 646 1377 
L 2502 1377 
z
M 698 1728 
C 781 2084 1062 2421 1421 2421 
C 1517 2421 1965 2421 2080 1728 
L 698 1728 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-63" d="M 2464 2541 
C 2464 2585 2170 2714 2093 2739 
C 1882 2816 1613 2816 1542 2816 
C 710 2816 211 2093 211 1363 
C 211 595 768 -64 1517 -64 
C 1946 -64 2253 76 2502 242 
L 2464 664 
C 2189 453 1869 337 1523 337 
C 1024 337 698 774 698 1369 
C 698 1831 909 2414 1549 2414 
C 1901 2414 2099 2343 2394 2145 
L 2464 2541 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-74" d="M 1069 2368 
L 1901 2368 
L 1901 2737 
L 1069 2737 
L 1069 3520 
L 614 3520 
L 614 2737 
L 109 2737 
L 109 2368 
L 602 2368 
L 602 749 
C 602 384 685 -64 1107 -64 
C 1427 -64 1722 25 2003 172 
L 1901 548 
C 1747 414 1562 337 1363 337 
C 1082 337 1069 696 1069 856 
L 1069 2368 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-78" d="M 1587 1414 
L 2656 2739 
L 2099 2739 
L 1363 1777 
L 602 2739 
L 32 2739 
L 1139 1414 
L 0 0 
L 563 0 
L 1363 1121 
L 2195 0 
L 2758 0 
L 1587 1414 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMSS17-44" transform="scale(0.996264)"/>
     <use xlink:href="#CMSS17-69" transform="translate(67.542842 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-72" transform="translate(89.723565 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-65" transform="translate(121.633337 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-63" transform="translate(163.272159 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-74" transform="translate(204.910981 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-72" transform="translate(238.742548 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-69" transform="translate(270.652321 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-78" transform="translate(292.833044 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 38.486961 131.135466 
L 134.246961 131.135466 
L 164.486961 186.566302 
" clip-path="url(#pdc34bb92c0)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="text_2">
    <!-- \rm Q -->
    <g transform="translate(41.813361 123.545878) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-51" d="M 3027 83 
C 3789 408 4307 1236 4307 2193 
C 4307 3499 3366 4480 2304 4480 
C 1216 4480 294 3488 294 2199 
C 294 928 1216 -64 2304 -64 
C 2451 -64 2656 -45 2899 38 
C 3008 -747 3078 -1216 3629 -1216 
C 4307 -1216 4339 -213 4339 -33 
C 4339 32 4339 76 4294 76 
C 4262 76 4256 31 4256 18 
C 4211 -603 3866 -732 3661 -732 
C 3283 -732 3149 -394 3027 83 
z
M 1958 100 
C 1293 310 768 1017 768 2199 
C 768 3711 1606 4365 2298 4365 
C 3014 4365 3834 3686 3834 2198 
C 3834 1124 3405 527 2976 254 
C 2880 579 2726 960 2310 960 
C 2003 960 1830 692 1830 450 
C 1830 304 1888 183 1958 100 
z
M 2874 192 
C 2618 57 2413 57 2304 57 
C 2016 57 1933 315 1933 454 
C 1933 650 2067 858 2310 858 
C 2720 858 2822 493 2874 192 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-51" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_2">
    <path d="M 38.486961 134.461866 
C 39.369132 134.461866 40.215291 134.111376 40.839081 133.487586 
C 41.46287 132.863797 41.813361 132.017638 41.813361 131.135466 
C 41.813361 130.253294 41.46287 129.407136 40.839081 128.783346 
C 40.215291 128.159557 39.369132 127.809066 38.486961 127.809066 
C 37.604789 127.809066 36.75863 128.159557 36.134841 128.783346 
C 35.511051 129.407136 35.160561 130.253294 35.160561 131.135466 
C 35.160561 132.017638 35.511051 132.863797 36.134841 133.487586 
C 36.75863 134.111376 37.604789 134.461866 38.486961 134.461866 
z
" clip-path="url(#pdc34bb92c0)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_3">
    <!-- \rm P -->
    <g transform="translate(130.688869 123.545878) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-50" d="M 1267 2042 
L 2291 2042 
C 3117 2042 3718 2578 3718 3184 
C 3718 3791 3130 4352 2291 4352 
L 333 4352 
L 333 4186 
C 774 4186 845 4186 845 3899 
L 845 446 
C 845 160 774 160 333 160 
L 333 0 
C 518 0 858 0 1056 0 
C 1254 0 1594 0 1779 0 
L 1779 160 
C 1338 160 1267 160 1267 446 
L 1267 2042 
z
M 1254 2176 
L 1254 3938 
C 1254 4155 1267 4186 1523 4186 
L 2170 4186 
C 2995 4186 3232 3714 3232 3184 
C 3232 2604 2950 2176 2170 2176 
L 1254 2176 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-50" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 134.246961 134.461866 
C 135.129132 134.461866 135.975291 134.111376 136.599081 133.487586 
C 137.22287 132.863797 137.573361 132.017638 137.573361 131.135466 
C 137.573361 130.253294 137.22287 129.407136 136.599081 128.783346 
C 135.975291 128.159557 135.129132 127.809066 134.246961 127.809066 
C 133.364789 127.809066 132.51863 128.159557 131.894841 128.783346 
C 131.271051 129.407136 130.920561 130.253294 130.920561 131.135466 
C 130.920561 132.017638 131.271051 132.863797 131.894841 133.487586 
C 132.51863 134.111376 133.364789 134.461866 134.246961 134.461866 
z
" clip-path="url(#pdc34bb92c0)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_4">
    <!-- $\rm F (0,0)$ -->
    <g transform="translate(167.813361 207.218526) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-46" d="M 3482 4325 
L 326 4325 
L 326 4160 
C 768 4160 838 4160 838 3874 
L 838 446 
C 838 160 768 160 326 160 
L 326 0 
C 512 0 870 0 1069 0 
C 1331 0 1638 0 1901 0 
L 1901 160 
L 1760 160 
C 1274 160 1261 223 1261 452 
L 1261 2075 
L 1837 2075 
C 2432 2075 2490 1865 2490 1332 
L 2605 1332 
L 2605 2987 
L 2490 2987 
C 2490 2450 2432 2240 1837 2240 
L 1261 2240 
L 1261 3911 
C 1261 4128 1274 4160 1530 4160 
L 2355 4160 
C 3322 4160 3430 3765 3520 2916 
L 3635 2916 
L 3482 4325 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-46" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(59.983847 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(95.264614 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(140.955092 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(184.656674 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(230.347151 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_4">
    <path d="M 164.486961 189.892702 
C 165.369132 189.892702 166.215291 189.542211 166.839081 188.918422 
C 167.46287 188.294632 167.813361 187.448473 167.813361 186.566302 
C 167.813361 185.68413 167.46287 184.837971 166.839081 184.214182 
C 166.215291 183.590392 165.369132 183.239902 164.486961 183.239902 
C 163.604789 183.239902 162.75863 183.590392 162.134841 184.214182 
C 161.511051 184.837971 161.160561 185.68413 161.160561 186.566302 
C 161.160561 187.448473 161.511051 188.294632 162.134841 188.918422 
C 162.75863 189.542211 163.604789 189.892702 164.486961 189.892702 
z
" clip-path="url(#pdc34bb92c0)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_5">
    <path d="M 164.486961 247.046302 
C 184.536315 247.046302 203.767199 240.673747 217.944234 229.33212 
C 232.121268 217.990492 240.086961 202.605785 240.086961 186.566302 
C 240.086961 170.526818 232.121268 155.142111 217.944234 143.800484 
C 203.767199 132.458856 184.536315 126.086302 164.486961 126.086302 
C 144.437607 126.086302 125.206723 132.458856 111.029688 143.800484 
C 96.852654 155.142111 88.886961 170.526818 88.886961 186.566302 
C 88.886961 202.605785 96.852654 217.990492 111.029688 229.33212 
C 125.206723 240.673747 144.437607 247.046302 164.486961 247.046302 
L 164.486961 247.046302 
z
" clip-path="url(#pdc34bb92c0)" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_2">
    <path d="M 38.486961 322.646302 
L 38.486961 50.486302 
" clip-path="url(#pdc34bb92c0)" style="fill: none; stroke: #0000ff; stroke-linecap: square"/>
   </g>
   <g id="patch_6">
    <path d="M 28.406961 186.566302 
Q 172.046961 186.566302 315.686961 186.566302 
" clip-path="url(#pdc34bb92c0)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 315.838161 186.566302 
L 306.388161 190.346302 
L 308.278161 186.566302 
L 306.236961 186.566302 
L 306.236961 186.566302 
L 308.278161 186.566302 
L 306.388161 182.786302 
z
" clip-path="url(#pdc34bb92c0)"/>
   </g>
   <g id="line2d_3">
    <path d="M 164.486961 322.646302 
L 164.486961 50.486302 
" clip-path="url(#pdc34bb92c0)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_5">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(154.026858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_7">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(158.595905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_8">
    <!-- $0$ -->
    <g transform="translate(318.221008 192.045054) scale(0.22 -0.22)">
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pdc34bb92c0">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Ellipse: 0 < e < 1 <br> ( bar("PF"))/( bar("PQ")) < 1 </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="335.472913pt" height="377.397722pt" viewBox="0 0 335.472913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-06T02:47:10.137510</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M -0 377.397722 
L 335.472913 377.397722 
L 335.472913 -0 
L -0 -0 
L -0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="PathCollection_1">
    <path d="M 315.686961 334.680587 
L 309.638961 332.212016 
L 308.429361 331.718302 
L 303.590961 329.659408 
L 297.542961 327.085791 
L 294.216561 325.670302 
L 291.494961 324.460702 
L 285.446961 321.772702 
L 280.608561 319.622302 
L 279.398961 319.059697 
L 273.350961 316.246674 
L 267.605361 313.574302 
L 267.302961 313.426789 
L 261.254961 310.476546 
L 255.206961 307.526302 
L 255.206961 307.526302 
L 249.158961 304.424763 
L 243.413361 301.478302 
L 243.110961 301.314842 
L 237.062961 298.045653 
L 232.224561 295.430302 
L 231.014961 294.739102 
L 224.966961 291.283102 
L 221.640561 289.382302 
L 218.918961 287.732847 
L 212.870961 284.067393 
L 211.661361 283.334302 
L 206.822961 280.212753 
L 202.286961 277.286302 
L 200.774961 276.243543 
L 194.726961 272.072509 
L 193.517361 271.238302 
L 188.678961 267.654302 
L 185.352561 265.190302 
L 182.630961 263.013022 
L 177.792561 259.142302 
L 176.582961 258.090476 
L 170.837361 253.094302 
L 170.534961 252.806302 
L 164.486961 247.046302 
L 164.486961 247.046302 
L 158.741361 240.998302 
L 158.438961 240.642537 
L 153.600561 234.950302 
L 152.390961 233.337502 
L 149.064561 228.902302 
L 146.342961 224.715225 
L 145.133361 222.854302 
L 141.806961 216.806302 
L 140.294961 213.446302 
L 139.085361 210.758302 
L 136.968561 204.710302 
L 135.456561 198.662302 
L 134.549361 192.614302 
L 134.246961 186.566302 
L 134.246961 186.566302 
L 134.246961 186.566302 
L 134.549361 180.518302 
L 135.456561 174.470302 
L 136.968561 168.422302 
L 139.085361 162.374302 
L 140.294961 159.686302 
L 141.806961 156.326302 
L 145.133361 150.278302 
L 146.342961 148.417379 
L 149.064561 144.230302 
L 152.390961 139.795102 
L 153.600561 138.182302 
L 158.438961 132.490066 
L 158.741361 132.134302 
L 164.486961 126.086302 
L 164.486961 126.086302 
L 170.534961 120.326302 
L 170.837361 120.038302 
L 176.582961 115.042128 
L 177.792561 113.990302 
L 182.630961 110.119582 
L 185.352561 107.942302 
L 188.678961 105.478302 
L 193.517361 101.894302 
L 194.726961 101.060095 
L 200.774961 96.88906 
L 202.286961 95.846302 
L 206.822961 92.91985 
L 211.661361 89.798302 
L 212.870961 89.065211 
L 218.918961 85.399756 
L 221.640561 83.750302 
L 224.966961 81.849502 
L 231.014961 78.393502 
L 232.224561 77.702302 
L 237.062961 75.08695 
L 243.110961 71.817761 
L 243.413361 71.654302 
L 249.158961 68.70784 
L 255.206961 65.606302 
L 255.206961 65.606302 
L 261.254961 62.656058 
L 267.302961 59.705814 
L 267.605361 59.558302 
L 273.350961 56.88593 
L 279.398961 54.072906 
L 280.608561 53.510302 
L 285.446961 51.359902 
L 291.494961 48.671902 
L 294.216561 47.462302 
L 297.542961 46.046812 
L 303.590961 43.473195 
L 308.429361 41.414302 
L 309.638961 40.920587 
L 315.686961 38.452016 
" clip-path="url(#p2eea3460c5)" style="fill: none; stroke: #000000; stroke-width: 2"/>
   </g>
   <g id="text_1">
    <!-- Directrix -->
    <g style="fill: #0000ff" transform="translate(66.206961 342.746983) scale(0.2 -0.2)">
     <defs>
      <path id="CMSS17-44" d="M 570 4416 
L 570 0 
L 2144 0 
C 3194 0 4000 980 4000 2170 
C 4000 3398 3194 4416 2144 4416 
L 570 4416 
z
M 1094 357 
L 1094 4059 
L 2003 4059 
C 2861 4059 3475 3277 3475 2170 
C 3475 1107 2867 357 2003 357 
L 1094 357 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-69" d="M 979 4183 
L 442 4183 
L 442 3648 
L 979 3648 
L 979 4183 
z
M 947 2739 
L 474 2739 
L 474 0 
L 947 0 
L 947 2739 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-72" d="M 954 1363 
C 954 1965 1395 2368 1958 2368 
L 1958 2789 
C 1549 2789 1165 2585 934 2253 
L 934 2758 
L 480 2758 
L 480 0 
L 954 0 
L 954 1363 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-65" d="M 2502 1377 
C 2502 1590 2490 2003 2285 2345 
C 2061 2713 1696 2816 1421 2816 
C 755 2816 192 2188 192 1375 
C 192 582 774 -64 1510 -64 
C 1798 -64 2150 19 2470 248 
C 2470 274 2458 414 2451 420 
C 2451 433 2432 630 2432 656 
C 2125 407 1773 325 1517 325 
C 1107 325 666 667 646 1377 
L 2502 1377 
z
M 698 1728 
C 781 2084 1062 2421 1421 2421 
C 1517 2421 1965 2421 2080 1728 
L 698 1728 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-63" d="M 2464 2541 
C 2464 2585 2170 2714 2093 2739 
C 1882 2816 1613 2816 1542 2816 
C 710 2816 211 2093 211 1363 
C 211 595 768 -64 1517 -64 
C 1946 -64 2253 76 2502 242 
L 2464 664 
C 2189 453 1869 337 1523 337 
C 1024 337 698 774 698 1369 
C 698 1831 909 2414 1549 2414 
C 1901 2414 2099 2343 2394 2145 
L 2464 2541 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-74" d="M 1069 2368 
L 1901 2368 
L 1901 2737 
L 1069 2737 
L 1069 3520 
L 614 3520 
L 614 2737 
L 109 2737 
L 109 2368 
L 602 2368 
L 602 749 
C 602 384 685 -64 1107 -64 
C 1427 -64 1722 25 2003 172 
L 1901 548 
C 1747 414 1562 337 1363 337 
C 1082 337 1069 696 1069 856 
L 1069 2368 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-78" d="M 1587 1414 
L 2656 2739 
L 2099 2739 
L 1363 1777 
L 602 2739 
L 32 2739 
L 1139 1414 
L 0 0 
L 563 0 
L 1363 1121 
L 2195 0 
L 2758 0 
L 1587 1414 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMSS17-44" transform="scale(0.996264)"/>
     <use xlink:href="#CMSS17-69" transform="translate(67.542842 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-72" transform="translate(89.723565 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-65" transform="translate(121.633337 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-63" transform="translate(163.272159 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-74" transform="translate(204.910981 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-72" transform="translate(238.742548 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-69" transform="translate(270.652321 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-78" transform="translate(292.833044 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 104.006961 143.800484 
L 149.366961 143.800484 
L 164.486961 186.566302 
" clip-path="url(#p2eea3460c5)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="text_2">
    <!-- \rm Q -->
    <g transform="translate(79.460115 145.952836) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-51" d="M 3027 83 
C 3789 408 4307 1236 4307 2193 
C 4307 3499 3366 4480 2304 4480 
C 1216 4480 294 3488 294 2199 
C 294 928 1216 -64 2304 -64 
C 2451 -64 2656 -45 2899 38 
C 3008 -747 3078 -1216 3629 -1216 
C 4307 -1216 4339 -213 4339 -33 
C 4339 32 4339 76 4294 76 
C 4262 76 4256 31 4256 18 
C 4211 -603 3866 -732 3661 -732 
C 3283 -732 3149 -394 3027 83 
z
M 1958 100 
C 1293 310 768 1017 768 2199 
C 768 3711 1606 4365 2298 4365 
C 3014 4365 3834 3686 3834 2198 
C 3834 1124 3405 527 2976 254 
C 2880 579 2726 960 2310 960 
C 2003 960 1830 692 1830 450 
C 1830 304 1888 183 1958 100 
z
M 2874 192 
C 2618 57 2413 57 2304 57 
C 2016 57 1933 315 1933 454 
C 1933 650 2067 858 2310 858 
C 2720 858 2822 493 2874 192 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-51" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_2">
    <path d="M 104.006961 147.126884 
C 104.889132 147.126884 105.735291 146.776393 106.359081 146.152604 
C 106.98287 145.528814 107.333361 144.682655 107.333361 143.800484 
C 107.333361 142.918312 106.98287 142.072153 106.359081 141.448364 
C 105.735291 140.824574 104.889132 140.474084 104.006961 140.474084 
C 103.124789 140.474084 102.27863 140.824574 101.654841 141.448364 
C 101.031051 142.072153 100.680561 142.918312 100.680561 143.800484 
C 100.680561 144.682655 101.031051 145.528814 101.654841 146.152604 
C 102.27863 146.776393 103.124789 147.126884 104.006961 147.126884 
z
" clip-path="url(#p2eea3460c5)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_3">
    <!-- \rm P -->
    <g transform="translate(142.784869 136.210896) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-50" d="M 1267 2042 
L 2291 2042 
C 3117 2042 3718 2578 3718 3184 
C 3718 3791 3130 4352 2291 4352 
L 333 4352 
L 333 4186 
C 774 4186 845 4186 845 3899 
L 845 446 
C 845 160 774 160 333 160 
L 333 0 
C 518 0 858 0 1056 0 
C 1254 0 1594 0 1779 0 
L 1779 160 
C 1338 160 1267 160 1267 446 
L 1267 2042 
z
M 1254 2176 
L 1254 3938 
C 1254 4155 1267 4186 1523 4186 
L 2170 4186 
C 2995 4186 3232 3714 3232 3184 
C 3232 2604 2950 2176 2170 2176 
L 1254 2176 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-50" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 149.366961 147.126884 
C 150.249132 147.126884 151.095291 146.776393 151.719081 146.152604 
C 152.34287 145.528814 152.693361 144.682655 152.693361 143.800484 
C 152.693361 142.918312 152.34287 142.072153 151.719081 141.448364 
C 151.095291 140.824574 150.249132 140.474084 149.366961 140.474084 
C 148.484789 140.474084 147.63863 140.824574 147.014841 141.448364 
C 146.391051 142.072153 146.040561 142.918312 146.040561 143.800484 
C 146.040561 144.682655 146.391051 145.528814 147.014841 146.152604 
C 147.63863 146.776393 148.484789 147.126884 149.366961 147.126884 
z
" clip-path="url(#p2eea3460c5)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_4">
    <!-- $\rm F (0,0)$ -->
    <g transform="translate(167.813361 207.218526) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-46" d="M 3482 4325 
L 326 4325 
L 326 4160 
C 768 4160 838 4160 838 3874 
L 838 446 
C 838 160 768 160 326 160 
L 326 0 
C 512 0 870 0 1069 0 
C 1331 0 1638 0 1901 0 
L 1901 160 
L 1760 160 
C 1274 160 1261 223 1261 452 
L 1261 2075 
L 1837 2075 
C 2432 2075 2490 1865 2490 1332 
L 2605 1332 
L 2605 2987 
L 2490 2987 
C 2490 2450 2432 2240 1837 2240 
L 1261 2240 
L 1261 3911 
C 1261 4128 1274 4160 1530 4160 
L 2355 4160 
C 3322 4160 3430 3765 3520 2916 
L 3635 2916 
L 3482 4325 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-46" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(59.983847 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(95.264614 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(140.955092 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(184.656674 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(230.347151 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_4">
    <path d="M 164.486961 189.892702 
C 165.369132 189.892702 166.215291 189.542211 166.839081 188.918422 
C 167.46287 188.294632 167.813361 187.448473 167.813361 186.566302 
C 167.813361 185.68413 167.46287 184.837971 166.839081 184.214182 
C 166.215291 183.590392 165.369132 183.239902 164.486961 183.239902 
C 163.604789 183.239902 162.75863 183.590392 162.134841 184.214182 
C 161.511051 184.837971 161.160561 185.68413 161.160561 186.566302 
C 161.160561 187.448473 161.511051 188.294632 162.134841 188.918422 
C 162.75863 189.542211 163.604789 189.892702 164.486961 189.892702 
z
" clip-path="url(#p2eea3460c5)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_2">
    <path d="M 104.006961 322.646302 
L 104.006961 50.486302 
" clip-path="url(#p2eea3460c5)" style="fill: none; stroke: #0000ff; stroke-linecap: square"/>
   </g>
   <g id="patch_5">
    <path d="M 28.406961 186.566302 
Q 172.046961 186.566302 315.686961 186.566302 
" clip-path="url(#p2eea3460c5)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 315.838161 186.566302 
L 306.388161 190.346302 
L 308.278161 186.566302 
L 306.236961 186.566302 
L 306.236961 186.566302 
L 308.278161 186.566302 
L 306.388161 182.786302 
z
" clip-path="url(#p2eea3460c5)"/>
   </g>
   <g id="line2d_3">
    <path d="M 164.486961 322.646302 
L 164.486961 50.486302 
" clip-path="url(#p2eea3460c5)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_5">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_6">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(154.026858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_7">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(158.595905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_8">
    <!-- $0$ -->
    <g transform="translate(318.221008 192.045054) scale(0.22 -0.22)">
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p2eea3460c5">
   <rect x="13.286961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Parabola: e=1 <br> ( bar("PF"))/( bar("PQ")) = 1 </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="350.592913pt" height="377.397722pt" viewBox="0 0 350.592913 377.397722" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-02-06T07:19:59.908220</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 377.397722 
L 350.592913 377.397722 
L 350.592913 -0 
L 0 -0 
L 0 377.397722 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="text_1">
    <!-- $\rm P'$ -->
    <g transform="translate(66.665229 247.081635) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-50" d="M 1267 2042 
L 2291 2042 
C 3117 2042 3718 2578 3718 3184 
C 3718 3791 3130 4352 2291 4352 
L 333 4352 
L 333 4186 
C 774 4186 845 4186 845 3899 
L 845 446 
C 845 160 774 160 333 160 
L 333 0 
C 518 0 858 0 1056 0 
C 1254 0 1594 0 1779 0 
L 1779 160 
C 1338 160 1267 160 1267 446 
L 1267 2042 
z
M 1254 2176 
L 1254 3938 
C 1254 4155 1267 4186 1523 4186 
L 2170 4186 
C 2995 4186 3232 3714 3232 3184 
C 3232 2604 2950 2176 2170 2176 
L 1254 2176 
z
" transform="scale(0.015625)"/>
      <path id="CMSY10-30" d="M 1619 3040 
C 1651 3117 1677 3174 1677 3238 
C 1677 3424 1510 3578 1312 3578 
C 1133 3578 1018 3456 973 3290 
L 211 493 
C 211 480 186 410 186 403 
C 186 333 352 288 403 288 
C 442 288 448 307 486 390 
L 1619 3040 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-50" transform="scale(0.996264)"/>
     <use xlink:href="#CMSY10-30" transform="translate(62.586301 36.153639) scale(0.697382)"/>
    </g>
   </g>
   <g id="patch_2">
    <path d="M 88.886961 248.255683 
C 89.769132 248.255683 90.615291 247.905192 91.239081 247.281403 
C 91.86287 246.657613 92.213361 245.811454 92.213361 244.929283 
C 92.213361 244.047111 91.86287 243.200952 91.239081 242.577163 
C 90.615291 241.953373 89.769132 241.602883 88.886961 241.602883 
C 88.004789 241.602883 87.15863 241.953373 86.534841 242.577163 
C 85.911051 243.200952 85.560561 244.047111 85.560561 244.929283 
C 85.560561 245.811454 85.911051 246.657613 86.534841 247.281403 
C 87.15863 247.905192 88.004789 248.255683 88.886961 248.255683 
z
" clip-path="url(#p9171eb7493)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_2">
    <!-- $\rm Q'$ -->
    <g transform="translate(154.908974 265.640262) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-51" d="M 3027 83 
C 3789 408 4307 1236 4307 2193 
C 4307 3499 3366 4480 2304 4480 
C 1216 4480 294 3488 294 2199 
C 294 928 1216 -64 2304 -64 
C 2451 -64 2656 -45 2899 38 
C 3008 -747 3078 -1216 3629 -1216 
C 4307 -1216 4339 -213 4339 -33 
C 4339 32 4339 76 4294 76 
C 4262 76 4256 31 4256 18 
C 4211 -603 3866 -732 3661 -732 
C 3283 -732 3149 -394 3027 83 
z
M 1958 100 
C 1293 310 768 1017 768 2199 
C 768 3711 1606 4365 2298 4365 
C 3014 4365 3834 3686 3834 2198 
C 3834 1124 3405 527 2976 254 
C 2880 579 2726 960 2310 960 
C 2003 960 1830 692 1830 450 
C 1830 304 1888 183 1958 100 
z
M 2874 192 
C 2618 57 2413 57 2304 57 
C 2016 57 1933 315 1933 454 
C 1933 650 2067 858 2310 858 
C 2720 858 2822 493 2874 192 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-51" transform="scale(0.996264)"/>
     <use xlink:href="#CMSY10-30" transform="translate(71.714788 36.153639) scale(0.697382)"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 179.138968 248.255683 
C 180.02114 248.255683 180.867299 247.905192 181.491088 247.281403 
C 182.114878 246.657613 182.465368 245.811454 182.465368 244.929283 
C 182.465368 244.047111 182.114878 243.200952 181.491088 242.577163 
C 180.867299 241.953373 180.02114 241.602883 179.138968 241.602883 
C 178.256797 241.602883 177.410638 241.953373 176.786848 242.577163 
C 176.163059 243.200952 175.812568 244.047111 175.812568 244.929283 
C 175.812568 245.811454 176.163059 246.657613 176.786848 247.281403 
C 177.410638 247.905192 178.256797 248.255683 179.138968 248.255683 
z
" clip-path="url(#p9171eb7493)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="PathCollection_1">
    <path d="M 29.814168 337.766302 
L 33.997805 331.718302 
L 34.454961 331.029299 
L 38.198589 325.670302 
L 40.502961 322.224987 
L 42.340875 319.622302 
L 46.421919 313.574302 
L 46.550961 313.373737 
L 50.535464 307.526302 
L 52.598961 304.342733 
L 54.572206 301.478302 
L 58.524884 295.430302 
L 58.646961 295.232838 
L 62.506284 289.382302 
L 64.694961 285.863294 
L 66.380866 283.334302 
L 70.168299 277.286302 
L 70.742961 276.305361 
L 73.94109 271.238302 
L 76.790961 266.38855 
L 77.554149 265.190302 
L 81.120898 259.142302 
L 82.838961 255.975722 
L 84.545437 253.094302 
L 87.815806 247.046302 
L 88.886961 244.856862 
L 90.964959 240.998302 
L 93.879209 234.950302 
L 94.934961 232.467143 
L 96.620472 228.902302 
L 99.09878 222.854302 
L 100.982961 217.420174 
L 101.222676 216.806302 
L 103.154991 210.758302 
L 104.657903 204.710302 
L 105.731411 198.662302 
L 106.375516 192.614302 
L 106.590218 186.566302 
L 106.375516 180.518302 
L 105.731411 174.470302 
L 104.657903 168.422302 
L 103.154991 162.374302 
L 101.222676 156.326302 
L 100.982961 155.712429 
L 99.09878 150.278302 
L 96.620472 144.230302 
L 94.934961 140.66546 
L 93.879209 138.182302 
L 90.964959 132.134302 
L 88.886961 128.275741 
L 87.815806 126.086302 
L 84.545437 120.038302 
L 82.838961 117.156881 
L 81.120898 113.990302 
L 77.554149 107.942302 
L 76.790961 106.744053 
L 73.94109 101.894302 
L 70.742961 96.827242 
L 70.168299 95.846302 
L 66.380866 89.798302 
L 64.694961 87.269309 
L 62.506284 83.750302 
L 58.646961 77.899765 
L 58.524884 77.702302 
L 54.572206 71.654302 
L 52.598961 68.789871 
L 50.535464 65.606302 
L 46.550961 59.758867 
L 46.421919 59.558302 
L 42.340875 53.510302 
L 40.502961 50.907616 
L 38.198589 47.462302 
L 34.454961 42.103304 
L 33.997805 41.414302 
L 29.814168 35.366302 
" clip-path="url(#p9171eb7493)" style="fill: none; stroke: #000000; stroke-width: 2"/>
    <path d="M 274.022913 35.366302 
L 270.326961 40.750794 
L 269.847652 41.414302 
L 265.656982 47.462302 
L 264.278961 49.53946 
L 261.498914 53.510302 
L 258.230961 58.395141 
L 257.407241 59.558302 
L 253.323418 65.606302 
L 252.182961 67.381893 
L 249.268121 71.654302 
L 246.134961 76.494951 
L 245.30166 77.702302 
L 241.35303 83.750302 
L 240.086961 85.807029 
L 237.455505 89.798302 
L 234.038961 95.314688 
L 233.684532 95.846302 
L 229.912446 101.894302 
L 227.990961 105.203337 
L 226.268815 107.942302 
L 222.747769 113.990302 
L 221.942961 115.492907 
L 219.288631 120.038302 
L 216.063951 126.086302 
L 215.894961 126.436612 
L 212.873637 132.134302 
L 210.004141 138.182302 
L 209.846961 138.55776 
L 207.210623 144.230302 
L 204.774568 150.278302 
L 203.798961 153.140833 
L 202.578882 156.326302 
L 200.683589 162.374302 
L 199.209472 168.422302 
L 198.156532 174.470302 
L 197.750961 178.352907 
L 197.492807 180.518302 
L 197.252464 186.566302 
L 197.492807 192.614302 
L 197.750961 194.779696 
L 198.156532 198.662302 
L 199.209472 204.710302 
L 200.683589 210.758302 
L 202.578882 216.806302 
L 203.798961 219.99177 
L 204.774568 222.854302 
L 207.210623 228.902302 
L 209.846961 234.574844 
L 210.004141 234.950302 
L 212.873637 240.998302 
L 215.894961 246.695991 
L 216.063951 247.046302 
L 219.288631 253.094302 
L 221.942961 257.639696 
L 222.747769 259.142302 
L 226.268815 265.190302 
L 227.990961 267.929267 
L 229.912446 271.238302 
L 233.684532 277.286302 
L 234.038961 277.817915 
L 237.455505 283.334302 
L 240.086961 287.325574 
L 241.35303 289.382302 
L 245.30166 295.430302 
L 246.134961 296.637652 
L 249.268121 301.478302 
L 252.182961 305.750711 
L 253.323418 307.526302 
L 257.407241 313.574302 
L 258.230961 314.737463 
L 261.498914 319.622302 
L 264.278961 323.593144 
L 265.656982 325.670302 
L 269.847652 331.718302 
L 270.326961 332.381809 
L 274.022913 337.766302 
" clip-path="url(#p9171eb7493)" style="fill: none; stroke: #000000; stroke-width: 2"/>
   </g>
   <g id="text_3">
    <!-- Directrix -->
    <g style="fill: #0000ff" transform="translate(141.338968 342.746983) scale(0.2 -0.2)">
     <defs>
      <path id="CMSS17-44" d="M 570 4416 
L 570 0 
L 2144 0 
C 3194 0 4000 980 4000 2170 
C 4000 3398 3194 4416 2144 4416 
L 570 4416 
z
M 1094 357 
L 1094 4059 
L 2003 4059 
C 2861 4059 3475 3277 3475 2170 
C 3475 1107 2867 357 2003 357 
L 1094 357 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-69" d="M 979 4183 
L 442 4183 
L 442 3648 
L 979 3648 
L 979 4183 
z
M 947 2739 
L 474 2739 
L 474 0 
L 947 0 
L 947 2739 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-72" d="M 954 1363 
C 954 1965 1395 2368 1958 2368 
L 1958 2789 
C 1549 2789 1165 2585 934 2253 
L 934 2758 
L 480 2758 
L 480 0 
L 954 0 
L 954 1363 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-65" d="M 2502 1377 
C 2502 1590 2490 2003 2285 2345 
C 2061 2713 1696 2816 1421 2816 
C 755 2816 192 2188 192 1375 
C 192 582 774 -64 1510 -64 
C 1798 -64 2150 19 2470 248 
C 2470 274 2458 414 2451 420 
C 2451 433 2432 630 2432 656 
C 2125 407 1773 325 1517 325 
C 1107 325 666 667 646 1377 
L 2502 1377 
z
M 698 1728 
C 781 2084 1062 2421 1421 2421 
C 1517 2421 1965 2421 2080 1728 
L 698 1728 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-63" d="M 2464 2541 
C 2464 2585 2170 2714 2093 2739 
C 1882 2816 1613 2816 1542 2816 
C 710 2816 211 2093 211 1363 
C 211 595 768 -64 1517 -64 
C 1946 -64 2253 76 2502 242 
L 2464 664 
C 2189 453 1869 337 1523 337 
C 1024 337 698 774 698 1369 
C 698 1831 909 2414 1549 2414 
C 1901 2414 2099 2343 2394 2145 
L 2464 2541 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-74" d="M 1069 2368 
L 1901 2368 
L 1901 2737 
L 1069 2737 
L 1069 3520 
L 614 3520 
L 614 2737 
L 109 2737 
L 109 2368 
L 602 2368 
L 602 749 
C 602 384 685 -64 1107 -64 
C 1427 -64 1722 25 2003 172 
L 1901 548 
C 1747 414 1562 337 1363 337 
C 1082 337 1069 696 1069 856 
L 1069 2368 
z
" transform="scale(0.015625)"/>
      <path id="CMSS17-78" d="M 1587 1414 
L 2656 2739 
L 2099 2739 
L 1363 1777 
L 602 2739 
L 32 2739 
L 1139 1414 
L 0 0 
L 563 0 
L 1363 1121 
L 2195 0 
L 2758 0 
L 1587 1414 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMSS17-44" transform="scale(0.996264)"/>
     <use xlink:href="#CMSS17-69" transform="translate(67.542842 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-72" transform="translate(89.723565 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-65" transform="translate(121.633337 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-63" transform="translate(163.272159 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-74" transform="translate(204.910981 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-72" transform="translate(238.742548 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-69" transform="translate(270.652321 0) scale(0.996264)"/>
     <use xlink:href="#CMSS17-78" transform="translate(292.833044 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 179.138968 138.535583 
L 209.846961 138.535583 
L 240.086961 186.566302 
L 88.886961 244.929283 
L 179.138968 244.929283 
" clip-path="url(#p9171eb7493)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="text_4">
    <!-- \rm Q -->
    <g transform="translate(159.128122 130.945995) scale(0.22 -0.22)">
     <use xlink:href="#CMR17-51" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_4">
    <path d="M 179.138968 141.861983 
C 180.02114 141.861983 180.867299 141.511493 181.491088 140.887703 
C 182.114878 140.263914 182.465368 139.417755 182.465368 138.535583 
C 182.465368 137.653412 182.114878 136.807253 181.491088 136.183463 
C 180.867299 135.559674 180.02114 135.209183 179.138968 135.209183 
C 178.256797 135.209183 177.410638 135.559674 176.786848 136.183463 
C 176.163059 136.807253 175.812568 137.653412 175.812568 138.535583 
C 175.812568 139.417755 176.163059 140.263914 176.786848 140.887703 
C 177.410638 141.511493 178.256797 141.861983 179.138968 141.861983 
z
" clip-path="url(#p9171eb7493)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_5">
    <!-- \rm P -->
    <g transform="translate(199.404377 130.945995) scale(0.22 -0.22)">
     <use xlink:href="#CMR17-50" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_5">
    <path d="M 209.846961 141.861983 
C 210.729132 141.861983 211.575291 141.511493 212.199081 140.887703 
C 212.82287 140.263914 213.173361 139.417755 213.173361 138.535583 
C 213.173361 137.653412 212.82287 136.807253 212.199081 136.183463 
C 211.575291 135.559674 210.729132 135.209183 209.846961 135.209183 
C 208.964789 135.209183 208.11863 135.559674 207.494841 136.183463 
C 206.871051 136.807253 206.520561 137.653412 206.520561 138.535583 
C 206.520561 139.417755 206.871051 140.263914 207.494841 140.887703 
C 208.11863 141.511493 208.964789 141.861983 209.846961 141.861983 
z
" clip-path="url(#p9171eb7493)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="text_6">
    <!-- $\rm F (0,0)$ -->
    <g transform="translate(243.413361 207.218526) scale(0.22 -0.22)">
     <defs>
      <path id="CMR17-46" d="M 3482 4325 
L 326 4325 
L 326 4160 
C 768 4160 838 4160 838 3874 
L 838 446 
C 838 160 768 160 326 160 
L 326 0 
C 512 0 870 0 1069 0 
C 1331 0 1638 0 1901 0 
L 1901 160 
L 1760 160 
C 1274 160 1261 223 1261 452 
L 1261 2075 
L 1837 2075 
C 2432 2075 2490 1865 2490 1332 
L 2605 1332 
L 2605 2987 
L 2490 2987 
C 2490 2450 2432 2240 1837 2240 
L 1261 2240 
L 1261 3911 
C 1261 4128 1274 4160 1530 4160 
L 2355 4160 
C 3322 4160 3430 3765 3520 2916 
L 3635 2916 
L 3482 4325 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-30" d="M 2688 2025 
C 2688 2416 2682 3080 2413 3591 
C 2176 4039 1798 4198 1466 4198 
C 1158 4198 768 4058 525 3597 
C 269 3118 243 2524 243 2025 
C 243 1661 250 1106 448 619 
C 723 -39 1216 -128 1466 -128 
C 1760 -128 2208 -7 2470 600 
C 2662 1042 2688 1559 2688 2025 
z
M 1466 -26 
C 1056 -26 813 325 723 812 
C 653 1188 653 1738 653 2096 
C 653 2588 653 2997 736 3387 
C 858 3929 1216 4096 1466 4096 
C 1728 4096 2067 3923 2189 3400 
C 2272 3036 2278 2607 2278 2096 
C 2278 1680 2278 1169 2202 792 
C 2067 95 1690 -26 1466 -26 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-46" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(59.983847 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(95.264614 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(140.955092 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-30" transform="translate(184.656674 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(230.347151 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_6">
    <path d="M 240.086961 189.892702 
C 240.969132 189.892702 241.815291 189.542211 242.439081 188.918422 
C 243.06287 188.294632 243.413361 187.448473 243.413361 186.566302 
C 243.413361 185.68413 243.06287 184.837971 242.439081 184.214182 
C 241.815291 183.590392 240.969132 183.239902 240.086961 183.239902 
C 239.204789 183.239902 238.35863 183.590392 237.734841 184.214182 
C 237.111051 184.837971 236.760561 185.68413 236.760561 186.566302 
C 236.760561 187.448473 237.111051 188.294632 237.734841 188.918422 
C 238.35863 189.542211 239.204789 189.892702 240.086961 189.892702 
z
" clip-path="url(#p9171eb7493)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_2">
    <path d="M 179.138968 322.646302 
L 179.138968 50.486302 
" clip-path="url(#p9171eb7493)" style="fill: none; stroke: #0000ff; stroke-linecap: square"/>
   </g>
   <g id="patch_7">
    <path d="M 28.406961 186.566302 
Q 179.606961 186.566302 330.806961 186.566302 
" clip-path="url(#p9171eb7493)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_8">
    <path d="M 330.958161 186.566302 
L 321.508161 190.346302 
L 323.398161 186.566302 
L 321.356961 186.566302 
L 321.356961 186.566302 
L 323.398161 186.566302 
L 321.508161 182.786302 
z
" clip-path="url(#p9171eb7493)"/>
   </g>
   <g id="line2d_3">
    <path d="M 240.086961 322.646302 
L 240.086961 50.486302 
" clip-path="url(#p9171eb7493)" style="fill: none; stroke: #000000; stroke-linecap: square"/>
   </g>
   <g id="text_7">
    <!-- $\pi$ -->
    <g transform="translate(7.2 192.045054) scale(0.22 -0.22)">
     <defs>
      <path id="CMMI12-19" d="M 1658 2408 
L 2381 2408 
C 2208 1692 2099 1226 2099 716 
C 2099 626 2099 -64 2362 -64 
C 2496 -64 2611 57 2611 166 
C 2611 197 2611 210 2566 306 
C 2394 747 2394 1296 2394 1341 
C 2394 1379 2394 1832 2528 2408 
L 3245 2408 
C 3328 2408 3539 2408 3539 2612 
C 3539 2752 3418 2752 3302 2752 
L 1197 2752 
C 1050 2752 832 2752 538 2440 
C 371 2254 166 1916 166 1878 
C 166 1840 198 1827 237 1827 
C 282 1827 288 1846 320 1884 
C 653 2408 986 2408 1146 2408 
L 1510 2408 
C 1370 1929 1210 1373 685 256 
C 634 154 634 140 634 102 
C 634 -32 749 -64 806 -64 
C 992 -64 1043 102 1120 370 
C 1222 696 1222 709 1286 964 
L 1658 2408 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-19" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_8">
    <!-- $\dfrac{3\pi}{2}$ -->
    <g transform="translate(229.626858 356.529966) scale(0.2 -0.2)">
     <defs>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-33" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMMI12-19" transform="translate(45.690477 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(29.455308 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 104.601078 22.914133 
L 104.601078 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_9">
    <!-- $\dfrac{\pi}{2}$ -->
    <g transform="translate(234.195905 29.258546) scale(0.2 -0.2)">
     <use xlink:href="#CMMI12-19" transform="translate(0 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(6.610069 -68.338837) scale(0.996264)"/>
     <path d="M 0 22.914133 
L 58.910601 22.914133 
L 58.910601 26.899083 
L 0 26.899083 
L 0 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_10">
    <!-- $0$ -->
    <g transform="translate(333.341008 192.045054) scale(0.22 -0.22)">
     <use xlink:href="#CMR17-30" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p9171eb7493">
   <rect x="28.406961" y="35.366302" width="302.4" height="302.4"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Hyperbola: e > 1 <br> ( bar(PF))/( bar(PQ))=( bar(P^(')F))/( bar(P^(')Q^('))) > 1 </figcaption>
A conic section in polar coordinates is given by the equation:
where:
  • is the eccentricity of the conic.
  • is the distance between the focus (pole) and the directrix.