Harriot, Thomas, Mss. 6785

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page |< < (60) of 882 > >|
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          <pb file="add_6785_f060" o="60" n="119"/>
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            <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 collectiones</emph>
                <ref id="pappus_1588"> (Pappus </ref>
              . The proposition on page 41 is Proposition IV.7. </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Theorema VII. Propositio VII.
                  <lb/>
                Sit quadrilaterum ABCD, rectum angulus habens ABC, & datam unamquamque rectarum linearum AB BC CD DA. ostendum est rectam lineam, quæ BD puncta coniungit, datam esse.</s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> Let there be a quadrilateral ABCD, having a right angle ABC. Given any one of the lines AB, BC, CD, DA, it is to be shown that the line which joins BD is given.</s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Lemmata, ad
            <lb/>
          locum de
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Lemmas, on the place of ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Datis tribus lateribus
              <lb/>
            trianguli; invenire
              <lb/>
            diametrum circuli
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given three sides of a triangle, find the diameter of the circumscribing ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> hinc i.p. Appendiculæ
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Here see the Appendix of ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Datis lateribus duorum
              <lb/>
            triangulorum super eandem
              <lb/>
            basim: verticum distantiam
              <lb/>
            invenire.
              <lb/>
            videlicet:
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given the sides of two triangles on the same base, to find the vertical distance, namely
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sunt etiam alia in pappo
              <lb/>
            pag: 41. &
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            There are also more in Pappus, page 41 and what ]</s>
          </p>
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Impressum