Harriot, Thomas, Mss. 6786

List of thumbnails

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1041
1041 (521) 		1042
1042 (521v)
1043
1043 (522) 		1044
1044 (522v)
1045
1045 (523) 		1046
1046 (523v)
1047
1047 (524) 		1048
1048 (524v)
1049
1049 (525) 		1050
1050 (525v)
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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 reference to Pappus is to Commandino's edition of Books III to
                <emph style="it">Mathematicae collecitones</emph>
                <ref id="pappus_1588"> (Pappus </ref>
              . The proposition on page 47 is Proposition IV.14. </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Theorema XIIII. Propositio XIIII.
                  <lb/>
                Sint duo semicirculi BGC BED: & ipsos contingat circulus EFGH: a cuius centro A ad BC basim semicirculorum perpendicularis ducatur AM. Dico ut BM as eam, quæ ex centro circuli EFGH, ita esse in prima figura vtramque simul CB BD ad earum excessum CD; in secunda vero, & tertia figura, ita esse excessum CB BD ad vtramque ipsarum CB </s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> Let there be two semicircles BGC and BED, and their touching circle EFGH, from whose centre A to BC, the base of the semicircle, there is drawn the perpendicular AM. I say that as BM is to that line from the centre of the circle EFGH, inthe first figure will be CB and BD togher to their excess, CD; but in the second and third figure, it will be as the excess of CB over BD to both of CB and BD </s>
              </quote>
              <lb/>
              <s xml:space="preserve"> For Harriot's diagrams for this proposition, see Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=400&viewMode=image&pn=405"> f. </ref>
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=400&viewMode=image&pn=407"> f. </ref>
              ; this page shows only calculations of ratios. </s>
              <s xml:space="preserve">]</s>
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          </div>
          <head xml:space="preserve"> 1) Pappus pag. </head>
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Impressum