Harriot, Thomas, Mss. 6786

List of thumbnails

< >
911
911 (456) 		912
912 (456v)
913
913 (457) 		914
914 (457v)
915
915 (458) 		916
916 (458v)
917
917 (459) 		918
918 (459v)
919
919 (460) 		920
920 (460v)
< >
page |< < (408) of 1122 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6786_f408" o="408" n="815"/>
          <div type="page_commentary" level="0" n="0">
            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <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>
            </p>
          </div>
          <head xml:space="preserve"> 1) Pappus pag. </head>
        </div>
      </text>
    </echo>
Impressum