Harriot, Thomas, Mss. 6784

List of thumbnails

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421
421 (211) 		422
422 (211v)
423
423 (212) 		424
424 (212v)
425
425 (213) 		426
426 (213v)
427
427 (214) 		428
428 (214v)
429
429 (215) 		430
430 (215v)
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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
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              <s xml:space="preserve"> The reference to Pappus is to Commandino's edition of Books III to
                <emph style="it">Mathematicae collectiones</emph>
                <ref id="pappus_1588"> (Pappus </ref>
              . The proposition on page 48v–49 is Proposition IV.15 (not 13, as Harriot appears to have written). A diagram for this proposition appears on Add MS 6784
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=400&viewMode=image&pn=403"> f. </ref>
              ; this page shows only calculations of ratios. </s>
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                <s xml:space="preserve"> Theorema XV. Propositio XV.
                  <lb/>
                Iisdem positis describatur circulus HRT, qui & semicirculos iam dictos, & circulum LGH contingat in punctis HRT, atque a centris A P ad BC basim perpendiculares ducantur AM PN. Dico vt AM vna cum diametro circuli EGH ad diametrum ipsius, ita esse PN ad circuli HRT </s>
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              <quote>
                <s xml:space="preserve"> The same being supposed [as in Proposition 14], there is drawn the circle HRT, which touches both the semicircles already given and the circle LGH, in the points H, R, T. And from the centres A and P to the base there are drawn perpendiculars AM and PN. I say that as AM together with the diameter of the circle EGH is to that that diameter itself, so is PN to the diamter of the circle </s>
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              <s xml:space="preserve">]</s>
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          <head xml:space="preserve"> 5.) pappus. prop. 13. pag. </head>
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Impressum