Harriot, Thomas, Mss. 6785

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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> On this page, Harriot continues his work on Problem IX from
                <emph style="it">Apollonius Gallus</emph>
                <ref id="Viete_1600a" target="http://www.e-rara.ch/zut/content/pageview/2684205"> (Viete 1600a, Prob </ref>
              . </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Problema IX.
                  <lb/>
                Datis duobus circulis, & puncto, per datum punctum circulum describere quem duo dati circuli contingat.</s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> IX. Given two circles and a point, through the given point describe a circle that touches the two given </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
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          <head xml:space="preserve" xml:lang="lat"> Apoll: Gallus. problema. 9. casus.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Apollonius Gallus, Problem IX, case ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> In isto casu
              <lb/>
            Si punctum datum
              <math>
                <mstyle>
                  <mi>I</mi>
                </mstyle>
              </math>
            , sit intra tangentes
              <lb/>
            et intra circulos cuius diamet:
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>H</mi>
                </mstyle>
              </math>
              <lb/>
            Duo circuli describi possunt.
              <lb/>
            Si extra tangentes; unus tantum.
              <lb/>
            punctum non dabitur in spatio
              <math>
                <mstyle>
                  <mi>y</mi>
                  <mi>Z</mi>
                  <mi>A</mi>
                  <mi>X</mi>
                  <mi>t</mi>
                </mstyle>
              </math>
            ,
              <math>
                <mstyle>
                  <mi>m</mi>
                  <mi>p</mi>
                  <mi>H</mi>
                  <mi>q</mi>
                  <mi>m</mi>
                </mstyle>
              </math>
            .
              <lb/>
            alias
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            In this case, if the point
              <math>
                <mstyle>
                  <mi>I</mi>
                </mstyle>
              </math>
            is inside the tangents and inside the circle with diameter
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>H</mi>
                </mstyle>
              </math>
            , two circles can be described. If outside the tangents, one such.
              <lb/>
            The point is not given in the space
              <math>
                <mstyle>
                  <mi>y</mi>
                  <mi>Z</mi>
                  <mi>A</mi>
                  <mi>X</mi>
                  <mi>t</mi>
                </mstyle>
              </math>
            or
              <math>
                <mstyle>
                  <mi>m</mi>
                  <mi>p</mi>
                  <mi>H</mi>
                  <mi>q</mi>
                  <mi>m</mi>
                </mstyle>
              </math>
            , otherwise anywhere. </s>
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