Harriot, Thomas, Mss. 6785

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page |< < (73) of 882 > >|
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      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6785_f073" o="73" n="145"/>
          <head xml:space="preserve" xml:lang="lat"> 1.) Anguli
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Trisection of ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Deliniatio
              <emph style="super">completa</emph>
            pro
              <lb/>
            3
              <emph style="super">a</emph>
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            , est in 2
              <emph style="super">a</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A complete delineation for the third
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            is in the 2nd sheet.
              <lb/>
            [
              <emph style="bf">Commentary: </emph>
            The second sheet is Add MS
              <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/KN1CRTZ2/&start=140&viewMode=image&pn=147"> f. </ref>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sint quatuor continue proportionales
              <lb/>
            […]
              <lb/>
            erit
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be four continued proportionals.
              <lb/>
              <lb/>
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            will be threefold. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Si
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
            fit latus trianguli
              <lb/>
            erit:
              <lb/>
            1,
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mo>=</mo>
                </mstyle>
              </math>
            lateri nonanguli
              <lb/>
            unius circuli.
              <lb/>
            2,
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mo>=</mo>
                </mstyle>
              </math>
            lateri nonanguli
              <lb/>
            duarum revoluti
              <lb/>
            onum.
              <lb/>
            3,
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mo>=</mo>
                </mstyle>
              </math>
            lateri nonanguli
              <lb/>
            4
              <emph style="super">a</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            If
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
            is the side of the triangle, then:
              <lb/>
            1.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            is the side of a ninth of an angle of one circle.
              <lb/>
            2.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            is the side of a ninth of an angle of two revolutions.
              <lb/>
            3.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            is the side of a ninth of an angle of four revolutions. </s>
          </p>
        </div>
      </text>
    </echo>
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