Harriot, Thomas, Mss. 6784

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page |< < (36) of 862 > >|
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          <pb file="add_6784_f036" o="36" n="71"/>
          <div type="page_commentary" level="0" n="0">
            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> The problem pursued in this and many other folios in Add MS 6784 is 'the cutting-off of an area', as set out in Pappus,
                <emph style="it">Mathematicae collectiones</emph>
              ,
                <ref id="pappus_1588"> (Pappus </ref>
              , Book 7. For a statement of the problem see Add MS 6784
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=30&viewMode=image&pn=37"> f. </ref>
              . In this and the two subsequent folios, Harriot examines the section that gives a maximum area. </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> 1) pro
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          For the ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sit
              <math>
                <mstyle>
                  <mi>E</mi>
                  <mi>C</mi>
                  <mo>=</mo>
                  <mi>a</mi>
                </mstyle>
              </math>
            . et cætera ut in charta. 7.)
              <lb/>
            ponatur:
              <math>
                <mstyle>
                  <mi>C</mi>
                  <mi>D</mi>
                  <mo>=</mo>
                  <mi>D</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            . et est ipsius
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let
              <math>
                <mstyle>
                  <mi>E</mi>
                  <mi>C</mi>
                  <mo>=</mo>
                  <mi>a</mi>
                </mstyle>
              </math>
            , and so on, as in sheet 7.
              <lb/>
            Put
              <math>
                <mstyle>
                  <mi>C</mi>
                  <mi>D</mi>
                  <mo>=</mo>
                  <mi>D</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            , and it is the maximum. </s>
          </p>
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