﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio in the Cloud" version="0.1018.0.9126"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="96">
    <identity>
      <id>c7176984-36f9-4fce-8caa-e0c430606bc8</id>
      <revision>750</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <mixedNumbers>false</mixedNumbers>
      <roundingMode>0</roundingMode>
      <approximateEqualAccuracy>3</approximateEqualAccuracy>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="1" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true" hideElementsHighlightings="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="49" bottom="49" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Core" version="1.73.9126.0" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="MathRegion" version="1.73.9126.0" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="SpecialFunctions" version="1.73.9126.0" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="TextRegion" version="1.73.9126.0" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
  </settings>
  <regions type="content">
    <region left="18" top="18" width="252" height="23" color="#000000" bgColor="#00ffff" fontSize="10">
      <text lang="eng" width="252" fontFamily="Arial, Courier New, Courier, mono" fontSize="10">
        <content>
          <p style="background-color: #00ffff;">Center Distance of a Profile Shiftet Gear</p>
        </content>
      </text>
    </region>
    <region left="18" top="54" width="72" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">m.n</e>
          <e type="operand">3</e>
          <e type="operand" style="unit">mm</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="90" width="72" height="30" color="#000000" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">α.n</e>
          <e type="operand">20</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="153" top="90" width="58" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">β</e>
          <e type="operand">0</e>
          <e type="operand" style="unit">°</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="126" width="60" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">z.1</e>
          <e type="operand">16</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="153" top="126" width="52" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">x.1</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="162" width="72" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">z.2</e>
          <e type="operand">24</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="153" top="162" width="80" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">x.2</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="198" width="194" height="53" color="#000000" fontSize="10">
      <math exponentialThreshold="6">
        <input>
          <e type="operand">α.t</e>
          <e type="operand">α.n</e>
          <e type="function" args="1">tan</e>
          <e type="operand">β</e>
          <e type="function" args="1">cos</e>
          <e type="operator" args="2">/</e>
          <e type="function" args="1">atan</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">°</e>
        </contract>
        <result action="numeric">
          <e type="operand">20</e>
        </result>
      </math>
    </region>
    <region left="18" top="252" width="403" height="53" color="#000000" fontSize="10">
      <math decimalPlaces="7">
        <input>
          <e type="operand">invα.wt</e>
          <e type="operand">α.t</e>
          <e type="function" args="1">tan</e>
          <e type="operand">α.t</e>
          <e type="operator" args="2">-</e>
          <e type="operand">2</e>
          <e type="operand">α.n</e>
          <e type="function" args="1">tan</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operator" args="2">+</e>
          <e type="operand">z.1</e>
          <e type="operand">z.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>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0604007</e>
        </result>
      </math>
    </region>
    <region left="18" top="306" width="204" height="33" color="#000000" bgColor="#ffd966" fontSize="10">
      <math decimalPlaces="6">
        <input>
          <e type="operand">α.0</e>
          <e type="operand">3</e>
          <e type="operand">invα.wt</e>
          <e type="operator" args="2">*</e>
          <e type="operand">3</e>
          <e type="function" args="2">nthroot</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.565876</e>
        </result>
      </math>
    </region>
    <region left="18" top="351" width="45" height="24" color="#000000" bgColor="#ffd966" fontSize="10">
      <math>
        <input>
          <e type="operand">n</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="387" width="363" height="151" color="#000000" bgColor="#ffd966" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">n</e>
          <e type="operand">10</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operand">α.0</e>
          <e type="function" args="1">tan</e>
          <e type="operand">α.0</e>
          <e type="operator" args="2">-</e>
          <e type="operand">invα.wt</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="1">abs</e>
          <e type="operand">10</e>
          <e type="operand">10</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">&gt;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operand">α.1</e>
          <e type="operand">α.0</e>
          <e type="operand">α.0</e>
          <e type="function" args="1">tan</e>
          <e type="operand">α.0</e>
          <e type="operator" args="2">-</e>
          <e type="operand">invα.wt</e>
          <e type="operator" args="2">-</e>
          <e type="operand">α.0</e>
          <e type="function" args="1">tan</e>
          <e type="bracket">(</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>
          <e type="operand">n</e>
          <e type="operand">n</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">α.0</e>
          <e type="operand">α.1</e>
          <e type="operator" args="2">:</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">line</e>
          <e type="function" args="2">while</e>
        </input>
      </math>
    </region>
    <region left="18" top="549" width="150" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">α.wt</e>
          <e type="operand">α.0</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">°</e>
        </contract>
        <result action="numeric">
          <e type="operand">31.0936</e>
        </result>
      </math>
    </region>
    <region left="18" top="576" width="141" height="49" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">m.t</e>
          <e type="operand">m.n</e>
          <e type="operand">β</e>
          <e type="function" args="1">cos</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">3</e>
        </result>
      </math>
    </region>
    <region left="18" top="630" width="137" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">d.1</e>
          <e type="operand">z.1</e>
          <e type="operand">m.t</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">48</e>
        </result>
      </math>
    </region>
    <region left="252" top="630" width="150" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">d.2</e>
          <e type="operand">z.2</e>
          <e type="operand">m.t</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">72</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
    <region left="18" top="666" width="283" height="57" color="#000000" fontSize="10">
      <math decimalPlaces="5">
        <input>
          <e type="operand">a.x</e>
          <e type="operand">d.1</e>
          <e type="operand">d.2</e>
          <e type="operator" args="2">+</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operand">α.t</e>
          <e type="function" args="1">cos</e>
          <e type="operand">α.wt</e>
          <e type="function" args="1">cos</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
        <contract>
          <e type="operand" style="unit">mm</e>
        </contract>
        <result action="numeric">
          <e type="operand">13.16827</e>
          <e type="operator" args="1">-</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>