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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
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    <math decimalPlaces="6">
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        <e type="operand">5</e>
        <e type="operator" args="2">:</e>
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    <math>
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        <e type="operand">sy</e>
        <e type="operand" style="string">o</e>
        <e type="operator" args="2">:</e>
        <e type="operand">size</e>
        <e type="operand">7</e>
        <e type="operator" args="2">:</e>
        <e type="operand">clr</e>
        <e type="operand" style="string">black</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
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    <math decimalPlaces="6">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Hyperbola</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">b</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
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    </math>
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  <region id="5" left="297" top="81" width="108" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>ortho-axes</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">XY</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
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  <region id="6" left="36" top="135" width="369" height="44" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Astroide</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">as</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">27</e>
        <e type="operand">as</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
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    <math>
      <description active="true" position="Right" lang="eng">
        <p>radius</p>
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      <input>
        <e type="operand">r</e>
        <e type="operand">2.51</e>
        <e type="operator" args="2">:</e>
      </input>
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  <region id="8" top="189" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     Circle     </p>
      </title>
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    <region id="9" left="18" top="216" width="120" height="61" color="#000000" bgColor="#ffe1e1" fontSize="10">
      <math decimalPlaces="6">
        <description active="true" position="Top" lang="eng">
          <p>Circle definition</p>
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          <e type="operand">t</e>
          <e type="operand">u</e>
          <e type="function" args="2">D</e>
          <e type="operand">u</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">u</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="1">-</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math decimalPlaces="6">
        <input>
          <e type="operand">t0</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
          <e type="operand">t1</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
          <e type="operand">N</e>
          <e type="operand">200</e>
          <e type="operator" args="2">:</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">line</e>
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      </math>
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    <region id="11" left="189" top="252" width="61" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="6">
        <input>
          <e type="operand">IC</e>
          <e type="operand">0</e>
          <e type="operand">r</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
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      <math decimalPlaces="6">
        <description active="false" position="Top" lang="eng">
          <p>Either 'rkfixed' or 'Rkadapt'</p>
        </description>
        <input>
          <e type="operand">s</e>
          <e type="operand">IC</e>
          <e type="operand">t0</e>
          <e type="operand">t1</e>
          <e type="operand">N</e>
          <e type="operand">t</e>
          <e type="operand">u</e>
          <e type="function" args="2">D</e>
          <e type="function" preserve="true" args="5">rkfixed</e>
          <e type="operator" args="2">:</e>
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      <math decimalPlaces="6">
        <input>
          <e type="operand">x</e>
          <e type="operand">s</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operator" args="2">:</e>
          <e type="operand">X</e>
          <e type="operand">s</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Y</e>
          <e type="operand">s</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operator" args="2">:</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">line</e>
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      <math decimalPlaces="6">
        <input>
          <e type="operand">circle</e>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" preserve="true" args="2">augment</e>
          <e type="operator" args="2">:</e>
          <e type="bracket">(</e>
          <e type="operand" style="string">inverse the path Y &lt;- X</e>
          <e type="operator" args="2">≡</e>
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      <area terminator="true" />
    </region>
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    <xyplot width="200" height="200" smoothing="false" points="100">
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      <yaxes ymin="-5" ymax="5" ytick="2.5" numberformat="General" decimalplaces="3" />
      <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" numberformat="General" decimalplaces="3" />
      <title2d title="Astroid" titlefont="Times New Roman, 14.25pt, style=Bold" titlefontcolor="Black" />
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        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Black" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Green" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
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        <e type="operand">Hyperbola</e>
        <e type="operand">Astroide</e>
        <e type="operand">XY</e>
        <e type="operand">circle</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
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    <math>
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        <e type="operand">x</e>
        <e type="function" args="1">H</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Hyperbola</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="261" top="522" width="316" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">A</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Astroide</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math decimalPlaces="2">
      <input>
        <e type="operand">X</e>
        <e type="operand">x</e>
        <e type="function" args="1">H</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="function" args="1">A</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="4">solve</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">1.91</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.91</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
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    </math>
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    <plot type="2d" render="lines" scale_x="1.771561" scale_y="1.771561" scale_z="1.771561" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="1" transpose_y="0" transpose_z="0">
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        <e type="function" args="1">H</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="function" args="1">H</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="function" args="1">A</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="function" args="1">A</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="string" />
        <e type="operand">circle</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">H</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">sy</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">H</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">sy</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">H</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">sy</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">H</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">sy</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">10</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="12">sys</e>
      </input>
    </plot>
  </region>
  <region id="21" left="36" top="720" width="215" height="53" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">H</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
      </input>
      <result action="numeric">
        <e type="operand">2.5106</e>
      </result>
    </math>
  </region>
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