Harriot, Thomas, Mss. 6786

List of thumbnails

< >
561
561 (281) 		562
562 (281v)
563
563 (282) 		564
564 (282v)
565
565 (283) 		566
566 (283v)
567
567 (284) 		568
568 (284v)
569
569 (285) 		570
570 (285v)
< >
page |< < (229v) of 1122 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6786_f229v" o="229v" n="458"/>
          <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 refers to Euclid X.37. In modern editions the relevant proposition
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookX/propX36.html"/>
              , but Harriot's numbering matches that of both Commandino and Clavius. </s>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookX/propX36.html"/>
                If two rational straight lines commensurable in square only be added together, the whole is irrational; and let it be called binomial. </s>
              </quote>
              <lb/>
              <s xml:space="preserve"> Harriot's example is
                <math>
                  <mstyle>
                    <mn>2</mn>
                    <mo>+</mo>
                    <msqrt>
                      <mrow>
                        <mn>5</mn>
                      </mrow>
                    </msqrt>
                  </mstyle>
                </math>
              . </s>
              <lb/>
              <s xml:space="preserve"> There is also a reference below the diagram to Euclid,
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI1.html"/>
              . </s>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI1.html"/>
                Triangles and parallelograms which are under the same height are to one another as their bases. </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Lib, 10: prop.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Book X, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Si duae rationales potentia solum commensurabiles componantur,
              <lb/>
            tota irrationalis erit, nocetur autem ex binis
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            If two quantities commensurable in power only are combined, the whole will be irrational, moreover separated into two parts.</s>
          </p>
        </div>
      </text>
    </echo>
Impressum