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    <metadata lang="rus">
      <author>Valery Ochkov</author>
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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
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      <text lang="rus" width="551" fontFamily="Arial" fontSize="10">
        <content>
          <p>Аналитико-графическое решение задачи о размерах подводной лодки «Наутилус»<br />Analytical-graphical solution of the problem of the size of the submarine "Nautilus" http://twtshell.ru/ochkov/Nautilus.pdf </p>
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      <math>
        <input>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="operand">z</e>
          <e type="function" args="3">un_f</e>
          <e type="operand" style="unit">m</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="operand">z</e>
          <e type="function" args="3">f</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="513" top="45" width="44" height="24" color="#000000" fontSize="10">
      <math evaluate="false">
        <input>
          <e type="operand" style="unit">m</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="72" width="92" height="33" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">V</e>
          <e type="operand">1500</e>
          <e type="operand" style="unit">m</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="126" top="72" width="92" height="33" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">S</e>
          <e type="operand">1000</e>
          <e type="operand" style="unit">m</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="0" top="99" width="542" height="63" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">H1</e>
          <e type="operand">H2</e>
          <e type="operand">R</e>
          <e type="function" args="3">f</e>
          <e type="operand">π</e>
          <e type="operand">R</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">H1</e>
          <e type="operand">H2</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">3</e>
          <e type="operand">V</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">-</e>
          <e type="operand">3</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">R</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="operand">π</e>
          <e type="operand">R</e>
          <e type="operator" args="2">*</e>
          <e type="operand">R</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">H1</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">sqrt</e>
          <e type="operand">R</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">H2</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">sqrt</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">S</e>
          <e type="operator" args="2">-</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">R</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>
    </region>
    <region left="9" top="171" width="167" height="27" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">xmn</e>
          <e type="operand">xmx</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operand">10</e>
          <e type="operator" args="1">-</e>
          <e type="operand">70</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="234" top="171" width="167" height="27" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">ymn</e>
          <e type="operand">ymx</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operand">10</e>
          <e type="operator" args="1">-</e>
          <e type="operand">70</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="468" top="171" width="159" height="27" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">zmn</e>
          <e type="operand">zmx</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">15</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="207" width="102" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">xl</e>
          <e type="operand" style="string">H1, m</e>
          <e type="operator" args="2">:</e>
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      </math>
    </region>
    <region left="126" top="207" width="102" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">yl</e>
          <e type="operand" style="string">H2, m</e>
          <e type="operator" args="2">:</e>
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      </math>
    </region>
    <region left="243" top="207" width="94" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">zl</e>
          <e type="operand" style="string">R, m</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="360" top="207" width="143" height="27" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">θ</e>
          <e type="operand">φ</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operand">120</e>
          <e type="operator" args="1">-</e>
          <e type="operand">70</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" args="4">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="513" top="207" width="184" height="27" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">gx</e>
          <e type="operand">gy</e>
          <e type="operand">gz</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="function" args="5">mat</e>
          <e type="operand">50</e>
          <e type="operand">50</e>
          <e type="operand">50</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="function" args="5">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="234" width="198" height="24" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Right" lang="rus">
          <content>
              <p>none|1-4</p>
            </content>
        </description>
        <input>
          <e type="operand">lm</e>
          <e type="operand" style="string">lightmodel=light2</e>
          <e type="operator" args="2">:</e>
        </input>
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    </region>
    <region left="288" top="234" width="150" height="24" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Right" lang="rus">
          <content>
              <p>none|z|xy|xyz|zgrayscale|zhue</p>
            </content>
        </description>
        <input>
          <e type="operand">sh</e>
          <e type="operand" style="string">shading=xyz</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="261" width="198" height="24" color="#000000" fontSize="10">
      <math>
        <description active="true" position="Right" lang="rus">
          <content>
              <p>point|hidden|line|patch|patchnogrid|contour|patchcontour</p>
            </content>
        </description>
        <input>
          <e type="operand">st</e>
          <e type="operand" style="string">style=patchnogrid</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="297" width="214" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
      <math>
        <description active="true" position="Right" lang="rus">
          <content>
            <p>constrained|unconstrained</p>
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        </description>
        <input>
          <e type="operand">sc</e>
          <e type="operand" style="string">scaling=constrained</e>
          <e type="operator" args="2">:</e>
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    </region>
    <region left="9" top="333" width="58" height="24" color="#000000" fontSize="10">
      <text lang="eng" fontFamily="Consolas" fontSize="10">
        <content>
          <p>Units:</p>
        </content>
      </text>
    </region>
    <region left="81" top="333" width="226" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">10</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">10</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">3</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="3">f</e>
        </input>
        <result action="numeric">
          <e type="operand">3.7736</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
    <region top="369" color="#000000">
      <area collapsed="true">
        <title lang="rus">
          <content>
            <p>implicitplot3d</p>
          </content>
        </title>
      </area>
      <region left="225" top="396" width="230" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
        <math>
          <input>
            <e type="operand">pj</e>
            <e type="operand" style="string">projection=orthogonal</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="486" top="396" width="102" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">nm</e>
            <e type="operand" style="string">plot1</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="18" top="423" width="174" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">xr</e>
            <e type="operand" style="string">x={xmn}..{xmx}</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="243" top="423" width="230" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">gr</e>
            <e type="operand" style="string">grid=[{gx},{gy},{gz}]</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="486" top="423" width="164" height="24" color="#000000" fontSize="10">
        <math evaluate="false">
          <input>
            <e type="operand">np</e>
            <e type="operand" style="string">numpoints=600</e>
            <e type="operator" args="2">:</e>
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      </region>
      <region left="666" top="423" width="95" height="24" color="#000000" bgColor="#ffff80" fontSize="10" isBreakable="false">
        <text lang="eng" fontFamily="Consolas" fontSize="10">
          <content>
            <p style="background-color: #ffff80;">np not used</p>
          </content>
        </text>
      </region>
      <region left="18" top="450" width="174" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">yr</e>
            <e type="operand" style="string">y={ymn}..{ymx}</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="243" top="450" width="142" height="24" color="#000000" fontSize="10">
        <math>
          <description active="true" position="Right" lang="rus">
            <content>
              <p>none|normal|framed|boxed</p>
            </content>
          </description>
          <input>
            <e type="operand">ax</e>
            <e type="operand" style="string">axes=boxed</e>
            <e type="operator" args="2">:</e>
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      </region>
      <region left="18" top="477" width="174" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">zr</e>
            <e type="operand" style="string">z={zmn}..{zmx}</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="477" top="477" width="230" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">or</e>
            <e type="operand" style="string">orientation=[{θ},{φ}]</e>
            <e type="operator" args="2">:</e>
          </input>
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      </region>
      <region left="333" top="486" width="95" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
        <text lang="eng" fontFamily="Consolas" fontSize="10">
          <content>
            <p style="background-color: #ffff80;">cl not used</p>
          </content>
        </text>
      </region>
      <region left="18" top="513" width="294" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">lb</e>
            <e type="operand" style="string">labels=[`{xl}`,`{yl}`,`{zl}`]</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="333" top="513" width="140" height="24" color="#000000" fontSize="10">
        <math evaluate="false">
          <input>
            <e type="operand">cl</e>
            <e type="operand" style="string">color=gray</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region left="18" top="549" width="718" height="24" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">plot</e>
            <e type="operand" style="string">implicitplot3d(`in`,{xr},{yr},{zr},{lb},{gr},{ax},{pj},{lm},{sh},{or},{st},{sc})</e>
            <e type="operator" args="2">:</e>
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        </math>
      </region>
      <region left="18" top="585" width="365" height="26" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand" style="string">{nm}.Script</e>
            <e type="operand" style="string">display({plot});</e>
            <e type="function" args="2">setprop</e>
          </input>
          <result action="numeric">
            <e type="operand">1</e>
          </result>
        </math>
      </region>
      <region top="621" color="#000000">
        <area terminator="true" />
      </region>
    </region>
    <region left="9" top="639" width="740" height="315" color="#000000" fontSize="10">
      <mapleplot>
        <Name>plot1</Name>
        <DeviceType>jpeg</DeviceType>
        <Script>display(implicitplot3d(`in`,x=-10..70,y=-10..70,z=-1..15,labels=[`H1, m`,`H2, m`,`R, m`],grid=[50,50,50],axes=boxed,projection=orthogonal,lightmodel=light2,shading=xyz,orientation=[-120,70],style=patchnogrid,scaling=constrained));</Script>
        <input>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="operand">z</e>
          <e type="function" args="3">un_f</e>
        </input>
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