Harriot, Thomas, Mss. 6785

List of thumbnails

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651
651 (326)
652
652 (326v)
653
653 (327)
654
654 (327v)
655
655 (328)
656
656 (328v)
657
657 (329)
658
658 (329v)
659
659 (330)
660
660 (330v)
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page |< < (336) of 882 > >|
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      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6785_f336" o="336" n="671"/>
          <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"> This page contains an analysis of earlier propositions used in each proposition of Euclid's
                <emph style="it">Elements</emph>
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookIII/bookIII.html"> Book </ref>
              . (For a similar analysis of Book I see Add MS 6785
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/KN1CRTZ2/&start=670&viewMode=image&pn=673"> f. </ref>
              ,
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/KN1CRTZ2/&start=670&viewMode=image&pn=675"> f. </ref>
              .)
                <lb/>
              The first wide column shows all the propositions, postulates, definitions, and axioms used in each proposition in Book III, in the order in which they occur, including repetitions.
                <lb/>
              The second wide column shows the earlier propositions used in each proposition in Book III, in numerical order without repetitions.
                <lb/>
              Proposition 2, for example, relies on Propositions 5, 16, 19 from Book I, and Proposition 1 from Book </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <p xml:lang="lat">
            <s xml:space="preserve"> In lib. 3
              <emph style="super">o</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            In the third ]</s>
            <lb/>
            <s xml:space="preserve"> Definitiones
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Definitions ]</s>
            <lb/>
            <s xml:space="preserve"> propositiones
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            propositions ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
            <lb/>
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
            <lb/>
            <s xml:space="preserve">pro-
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
          </p>
        </div>
      </text>
    </echo>