Harriot, Thomas, Mss. 6785

List of thumbnails

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521
521 (261) 		522
522 (261v)
523
523 (262) 		524
524 (262v)
525
525 (263) 		526
526 (263v)
527
527 (264) 		528
528 (264v)
529
529 (265) 		530
530 (265v)
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page |< < (313) of 882 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6785_f313" o="313" n="625"/>
          <head xml:space="preserve" xml:lang="lat"> De resectione
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On the cutting off of a ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Data.
              <lb/>
            Sint datæ lineæ positione
              <lb/>
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            ,
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>D</mi>
                </mstyle>
              </math>
            ,
              <lb/>
            Datum punctum
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given.
              <lb/>
            Let there be given lines
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>D</mi>
                </mstyle>
              </math>
            and a given point
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Quæsitum.
              <lb/>
            Oportet ducere rectum per
              <lb/>
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            punctum ad lineas
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            et
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>D</mi>
                </mstyle>
              </math>
            ,
              <lb/>
            ut ratio partium, vidilicet:
              <lb/>
              <math>
                <mstyle>
                  <mi>G</mi>
                  <mi>A</mi>
                </mstyle>
              </math>
            ad
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>H</mi>
                </mstyle>
              </math>
            fit ut
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            ad
              <math>
                <mstyle>
                  <mi>b</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Sought.
              <lb/>
            It is required to draw a line through the point
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            to the lines
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>D</mi>
                </mstyle>
              </math>
            so that the ratio of the parts, namely,
              <math>
                <mstyle>
                  <mi>G</mi>
                  <mi>A</mi>
                </mstyle>
              </math>
            to
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>H</mi>
                </mstyle>
              </math>
            is as
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            to
              <math>
                <mstyle>
                  <mi>b</mi>
                </mstyle>
              </math>
            . </s>
          </p>
        </div>
      </text>
    </echo>
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