Harriot, Thomas, Mss. 6787

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          <pb file="add_6787_f362" o="362" n="722"/>
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> The inclusion of a page number confirms that Harriot was using Commandino's edition of
                <emph style="it">Apollonii Pergaei conicorum libri quattuor</emph>
                <ref id="apollonius_1566"> (Apollonius </ref>
              . Proposition 38 gives a further property of a tangent to a hyperbola or ellipse or circle (see also Add MS 6787
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/MAH52R5E&start=720&viewMode=image&pn=720"> f. </ref>
              ). </s>
              <lb/>
              <quote>
                <s xml:space="preserve"> I.38 If a straight line touching a hyperbola or ellipse or circumference of a circle meets the second diameter, and if from the point of contact a straight line is dropped to that same [second] diameter parallel to the other diameter, then the straight line cut off from the centre of the section by the dropped straight line, together with the straight line cut off [on the second diameter] by the tangent from the centre of the section will contain an area equal to the square on the half of the second diameter, and, together with the straight line [on the second diameter] between the dropped straight line and the tangent, will contain an area having a ratio to the square on the dropped straight line which the upright side of the figure has to the transverse.</s>
              </quote>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve" xml:lang="lat"> Appol. pag. 28
            <lb/>
          pro:
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Apollonius, page 28, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Iisdem
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Under the same ]</s>
            <lb/>
            <s xml:space="preserve"> 1. casus:
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Case 1. ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sed:
              <lb/>
            in elipsi
              <lb/>
            per
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            But in an ellipse, by proposition ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> In
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            In an ]</s>
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Impressum