Harriot, Thomas, Mss. 6784

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page |< < (132) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f132" o="132" n="263"/>
          <head xml:space="preserve" xml:lang="lat"> De inclinationibus.
            <lb/>
          G. Ad determinatam
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On neusis. G. On determining the ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Dato puncto.
              <math>
                <mstyle>
                  <mi>d</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Invenire semicirculum
              <lb/>
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>e</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
            :
              <lb/>
            ut:
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>e</mi>
                  <mo>=</mo>
                  <mi>a</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given a point
              <math>
                <mstyle>
                  <mi>d</mi>
                </mstyle>
              </math>
            , find a semicircle
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>e</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
            so that
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>e</mi>
                  <mo>=</mo>
                  <mi>a</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Facere duos semicir-
              <lb/>
            culos, ut sit:
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>d</mi>
                  <mo>=</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            .
              <lb/>
            sumatur quodlibet
              <lb/>
              <math>
                <mstyle>
                  <mo>Δ</mo>
                </mstyle>
              </math>
            rectangulum
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>y</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
              <lb/>
            […]
              <lb/>
            semicirculi,
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            et,
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>e</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
              <lb/>
            sunt
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Make two semicircles so that
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>d</mi>
                  <mo>=</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Taking any right-angled triangle
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>y</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
              <lb/>
              <lb/>
            the semicircles
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>e</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
            are those sought. </s>
          </p>
        </div>
      </text>
    </echo>
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