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"> An investigation of Lemma I, preceding Problem IX of
                <emph style="it">Apollonius Gallus</emph>
                <ref id="Viete_1600a" target="http://www.e-rara.ch/zut/content/pageview/2684204"> (Viete 1600a, Prob 9, Lemma </ref>
              . Harriot notes some cases missed by Viète. </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Lemma I.
                  <lb/>
                Propositis duobus circulis, invenire punctum in jungente ipsorum centra, a quo, cum ducetur quævis linea recta ipsos circulos secans, similis erunt segmenta.</s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> Lemma I. Given two circles, find a point in the line joining their centre, from which, when any straight line is drawn cutting those circles, the segments wil be similar.</s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Apoll: Gallus. Lemma. 1. pag.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Apollonius Gallus, Lemma I, page ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> casus a Vieta
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            cases missed by ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> similes arcus
              <lb/>
            ad easdem
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            similar arcs on the same ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> similes arcus
              <lb/>
            ad contrarias
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            similar arcs on opposite ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> sunt
              <lb/>
            preterea
              <lb/>
            4 casus
              <lb/>
            de circulis secantibus
              <lb/>
            et 4
              <lb/>
            de tangentibus
              <lb/>
            si placeat.
              <lb/>
            et 1.
              <lb/>
            de
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            besides the 4 cases of cutting the circles, there are 4 of tangents, if one wishes; and 1 of ]</s>
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