Harriot, Thomas, Mss. 6784

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page |< < (412) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f412" o="412" n="823"/>
          <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 continuation of Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=820&viewMode=image&pn=821"> f. </ref>
              . </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <p xml:lang="lat">
            <s xml:space="preserve"> Casus 3
              <emph style="super">a</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Case ]</s>
            <lb/>
            <s xml:space="preserve"> Sint tres inæquales
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be three unequal ]</s>
            <lb/>
            <s xml:space="preserve"> magnitudo facta.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the size of the product is
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Tres æquales
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Three equal ]</s>
            <lb/>
            <s xml:space="preserve"> magnitudo facta
              <lb/>
            quæ cubus.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>-</mo>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>></mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the size of the product which is a cube is
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>-</mo>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>></mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Casus 4
              <emph style="super">a</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Case ]</s>
            <lb/>
            <s xml:space="preserve"> Sint tres inæquales
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be three unequal ]</s>
            <lb/>
            <s xml:space="preserve"> magnitudo facta.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the size of the product is
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Tres æquales
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Three equal ]</s>
            <lb/>
            <s xml:space="preserve"> magnitudo facta
              <lb/>
            quæ cubus.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>></mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the size of the product which is a cube is
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>></mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Casus 5
              <emph style="super">a</emph>
            .
              <lb/>
            et
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Case 5, and ]</s>
            <lb/>
            <s xml:space="preserve"> Sint tres inæquales
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be three unequal ]</s>
            <lb/>
            <s xml:space="preserve"> magnitudo facta.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the size of the product is
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Tres æquales
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Three equal ]</s>
            <lb/>
            <s xml:space="preserve"> magnitudo facta
              <lb/>
            quæ cubus.
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>></mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the size of the product which is a cube is
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>></mo>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mo>-</mo>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> nam:
              <math>
                <mstyle>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>></mo>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>d</mi>
                  <mo>.</mo>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            for:
              <math>
                <mstyle>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>c</mi>
                  <mo>></mo>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mi>d</mi>
                  <mo>+</mo>
                  <mn>9</mn>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            . </s>
          </p>
        </div>
      </text>
    </echo>