Harriot, Thomas, Mss. 6787

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page |< < (403v) of 1155 > >|
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> For the edition of Apollonius used by Harriot see
                <ref id="apollonius_1566"> (Apollonius </ref>
              . </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Lemma ad Ellipsin.pag. 40. Appol. prop. 54. lib.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Lemma on the ellipse, Apollonius, page 40, Book I, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Data.
              <lb/>
            Circulus
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Diameter,
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Linea,
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given.
              <lb/>
            Circle
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Diameter
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Line
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
            </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Ratio
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Quæsitum:
              <lb/>
            Invenire punctum
              <math>
                <mstyle>
                  <mi>o</mi>
                </mstyle>
              </math>
            , vel
              <math>
                <mstyle>
                  <mi>r</mi>
                </mstyle>
              </math>
              <lb/>
            ut linea (
              <math>
                <mstyle>
                  <mi>o</mi>
                  <mi>r</mi>
                </mstyle>
              </math>
            ) sit parabola, (
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
            )
              <lb/>
            et
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Sought.
              <lb/>
            To find the point
              <math>
                <mstyle>
                  <mi>o</mi>
                </mstyle>
              </math>
            or
              <math>
                <mstyle>
                  <mi>r</mi>
                </mstyle>
              </math>
            so that the line (
              <math>
                <mstyle>
                  <mi>o</mi>
                  <mi>r</mi>
                </mstyle>
              </math>
            ) is a parabola (
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
            ), and that: </s>
          </p>
        </div>
      </text>
    </echo>
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