Jump to content

File:Isoperimetric inequality illustr2.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (958 × 1,261 pixels, file size: 96 KB, MIME type: image/png)

Description Illustration of en:Isoperimetric inequality
Source self-made, with en:Inkscape.
Author Oleg Alexandrov
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

SVG source code (the current SVG renderer sucks, that's why I export as PNG)


<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
   xmlns:dc="http://purl.org/dc/elements/1.1/"
   xmlns:cc="http://web.resource.org/cc/"
   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
   xmlns:svg="http://www.w3.org/2000/svg"
   xmlns="http://www.w3.org/2000/svg"
   xmlns:sodipodi="http://inkscape.sourceforge.net/DTD/sodipodi-0.dtd"
   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
   width="114.9pt"
   height="151.3pt"
   id="svg2"
   sodipodi:version="0.32"
   inkscape:version="0.43"
   sodipodi:docbase="/home/aoleg/diverse/wiki"
   sodipodi:docname="Isoperimetric_inequality_illustr2.svg"
   version="1.0">
  <defs
     id="defs4">
    <marker
       inkscape:stockid="Arrow2Lend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow2Lend"
       style="overflow:visible">
      <path
         id="path3169"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-1.1,0,0,-1.1,-1.1,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Mend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow1Mend"
       style="fill:#0002ce;overflow:visible">
      <path
         id="path4112"
         d="M 0,0 L 5,-5 L -12.5,0 L 5,5 L 0,0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
         transform="matrix(-0.4,0,0,-0.4,-4,0)" />
    </marker>
    <marker
       style="fill:#0002ce;overflow:visible"
       id="Arrow1MBlue"
       refX="0"
       refY="0"
       orient="auto"
       inkscape:stockid="Arrow1MBlue">
      <path
         transform="matrix(-0.4,0,0,-0.4,-4,0)"
         style="fill-rule:evenodd;stroke:#0002ce;stroke-width:1pt;marker-start:none"
         d="M 0,0 L 5,-5 L -12.5,0 L 5,5 L 0,0 z "
         id="path3345" />
    </marker>
    <marker
       inkscape:stockid="ArrowBlue"
       orient="auto"
       refY="0"
       refX="0"
       id="ArrowBlue"
       style="fill:#0002ce;overflow:visible">
      <path
         id="path2227"
         style="font-size:12px;fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.97309,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         transform="matrix(-0.3,0,0,-0.3,0.69,0)" />
    </marker>
    <marker
       inkscape:stockid="Arrow1Lend"
       orient="auto"
       refY="0"
       refX="0"
       id="Arrow1Lend"
       style="overflow:visible">
      <path
         id="path4106"
         d="M 0,0 L 5,-5 L -12.5,0 L 5,5 L 0,0 z "
         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
         transform="matrix(-0.8,0,0,-0.8,-10,0)" />
    </marker>
  </defs>
  <sodipodi:namedview
     id="base"
     pagecolor="#ffffff"
     bordercolor="#666666"
     borderopacity="1.0"
     gridtolerance="10000"
     guidetolerance="10"
     objecttolerance="10"
     inkscape:pageopacity="0.0"
     inkscape:pageshadow="2"
     inkscape:zoom="1.979899"
     inkscape:cx="154.34203"
     inkscape:cy="89.930869"
     inkscape:document-units="px"
     inkscape:current-layer="layer1"
     inkscape:window-width="962"
     inkscape:window-height="737"
     inkscape:window-x="0"
     inkscape:window-y="0"
     width="192.38px"
     height="166.62px"
     showguides="true"
     inkscape:guide-bbox="true" />
  <metadata
     id="metadata7">
    <rdf:RDF>
      <cc:Work
         rdf:about="">
        <dc:format>image/svg+xml</dc:format>
        <dc:type
           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
      </cc:Work>
    </rdf:RDF>
  </metadata>
  <g
     inkscape:label="Layer 1"
     inkscape:groupmode="layer"
     id="layer1"
     transform="translate(-197.6943,-331.3708)">
    <path
       style="fill:#95eb00;fill-opacity:0.36170211;fill-rule:evenodd;stroke:#000000;stroke-width:1.8862263;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 272.80709,338.02539 C 253.12881,338.40191 238.1054,381.51145 235.66516,416.40892 C 233.28784,450.40664 234.78548,518.22536 268.11624,517.28466 C 301.44979,516.34391 309.93401,446.2382 307.24818,405.69669 C 304.45096,363.474 287.40638,337.74948 272.80709,338.02539 z "
       id="path2178"
       sodipodi:nodetypes="cszss" />
    <path
       style="fill:#95eb00;fill-opacity:0.36078431;fill-rule:evenodd;stroke:#000000;stroke-width:2.06561351;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:12.39368153, 2.06561359;stroke-dashoffset:0;stroke-opacity:1"
       d="M 272.87803,363.07721 C 228.09611,362.7436 201.94841,403.20083 203.37854,433.5871 C 204.70256,461.7188 228.09213,493.27327 265.62105,492.63316 C 303.65504,491.99305 334.08535,457.27766 335.59728,429.32825 C 337.23346,399.08193 312.24529,363.37382 272.87803,363.07721 z "
       id="path2183"
       sodipodi:nodetypes="cszss" />
    <path
       style="fill:#0002ce;fill-rule:evenodd;stroke:#0002ce;stroke-width:2;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#Arrow1MBlue);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;overflow:visible"
       d="M 272.42562,348.23591 L 271.35419,386.09306"
       id="path3156" />
    <path
       style="fill:none;fill-rule:evenodd;stroke:#0002ce;stroke-width:2;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#Arrow1MBlue);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 266.61415,509.79575 L 269.4713,469.43861"
       id="path3158" />
    <path
       style="fill:none;fill-rule:evenodd;stroke:#0002ce;stroke-width:2;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#Arrow1MBlue);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 250.89988,429.37298 L 217.68559,429.73012"
       id="path3160" />
    <path
       style="fill:none;fill-rule:evenodd;stroke:#0002ce;stroke-width:2;stroke-linecap:butt;stroke-linejoin:miter;marker-end:url(#Arrow1MBlue);stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
       d="M 285.49196,428.63332 L 326.20625,427.56189"
       id="path3162" />
  </g>
</svg>

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current03:06, 17 May 2007Thumbnail for version as of 03:06, 17 May 2007958 × 1,261 (96 KB)Oleg Alexandrov{{Information |Description=Illustration of en:Isoperimetric inequality |Source=self-made |Date= |Author= User:Oleg Alexandrov }} {{PD-self}} Category:Multivariable calculus Category:Calculus of variations

The following page uses this file: