Harriot, Thomas, Mss. 6787

List of thumbnails

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601
601 (301v)
602
602 (302)
603
603 (302v)
604
604 (303)
605
605 (303v)
606
606 (304)
607
607 (304v)
608
608 (305)
609
609 (305v)
610
610 (306)
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page |< < (364) of 1155 > >|
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <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 39 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>
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/MAH52R5E&start=720&viewMode=image&pn=722"> f. </ref>
              ). </s>
              <lb/>
              <quote>
                <s xml:space="preserve"> I.39 If a straight line touching a hyperbola or ellipse or circumference of a circle meets the diameter, and if from the point of contact a straight line is dropped as ordinate to the diameter, then whichever of the two straight lines is taken, of which one is the straight line between the [intersection of the] ordinate [with the diameter] and the centre of the section, and the other is between [the intersection of] the ordinate and the tangent [with the diameter], the ordinate will have to it the ratio compounded of the ratio of the other of the two straight lines to the ordinate and of the ratio of the upright side of the figure to the transverse.</s>
              </quote>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve" xml:lang="lat"> lib. 1.
            <lb/>
          App. pag. 29.
            <lb/>
          pro:
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Book I, Apollonius, page 29, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Nostro modo
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            My method, very ]</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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