Harriot, Thomas, Mss. 6784

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page |< < (20) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f020" o="20" n="39"/>
          <head xml:space="preserve">
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          ]</head>
          <head xml:space="preserve" xml:lang="lat">
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Commentary: </emph>
            The Exegetic referred to in this note is on the previous page, Add MS
              <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=30&viewMode=image&pn=37"> f. </ref>
            . ] Sit
              <math>
                <mstyle>
                  <mi>q</mi>
                  <mi>q</mi>
                  <mo>=</mo>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            . ut in Exegetike.
              <lb/>
            hoc est fiat:
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mo>,</mo>
                  <mi>q</mi>
                  <mo>:</mo>
                  <mi>q</mi>
                  <mo>,</mo>
                  <mi>d</mi>
                </mstyle>
              </math>
              <lb/>
            Et fiat,
              <math>
                <mstyle>
                  <mi>i</mi>
                  <mi>a</mi>
                  <mo>=</mo>
                  <mi>q</mi>
                </mstyle>
              </math>
              <lb/>
            Dico quod tum […] rectangulum erit maximum.
              <lb/>
            Nam
              <emph style="st">ut [???]</emph>
            tum
              <emph style="st">superiore argumentatione</emph>
              <emph style="super">supra</emph>
            in exegetike
              <lb/>
            duo (
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            ) inventa, videlicet
              <math>
                <mstyle>
                  <mi>F</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            &
              <math>
                <mstyle>
                  <mi>F</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            quibus solvitur problema
              <lb/>
            erunt æqualia.
              <lb/>
            Oportet igitur ut
              <math>
                <mstyle>
                  <mi>X</mi>
                  <mi>X</mi>
                </mstyle>
              </math>
            fit æquale vel minus maxime
              <lb/>
            alias problema solui non
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let
              <math>
                <mstyle>
                  <mi>q</mi>
                  <mi>q</mi>
                  <mo>=</mo>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            , as in the Exegetic, that is, make
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mo>:</mo>
                  <mi>q</mi>
                  <mo>=</mo>
                  <mi>q</mi>
                  <mo>:</mo>
                  <mi>d</mi>
                </mstyle>
              </math>
            , and make
              <math>
                <mstyle>
                  <mi>i</mi>
                  <mi>a</mi>
                  <mo>=</mo>
                  <mi>q</mi>
                </mstyle>
              </math>
            .
              <lb/>
            I say that then the product
              <math>
                <mstyle>
                  <mi>u</mi>
                  <mi>a</mi>
                  <mo>.</mo>
                  <mi>t</mi>
                  <mi>y</mi>
                </mstyle>
              </math>
            will be a maximum.
              <lb/>
            For then as above in the Exegtic, the two lines
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            which are found, namely,
              <math>
                <mstyle>
                  <mi>F</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>F</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            , by which the problem is solved, are equal.
              <lb/>
            Therefore it is required that
              <math>
                <mstyle>
                  <mi>X</mi>
                  <mi>X</mi>
                </mstyle>
              </math>
            is equal to or less than the maximum, otherwise the problem cannot be solved. </s>
          </p>
        </div>
      </text>
    </echo>
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