Harriot, Thomas, Mss. 6782

List of thumbnails

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381 (191) 		382
382 (191v)
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384 (192v)
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385 (193) 		386
386 (193v)
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390 (195v)
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page |< < (234) of 1011 > >|
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          <pb file="add_6782_f234" o="234" n="467"/>
          <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 table at the top gives formulae for the
                <math>
                  <mstyle>
                    <mi>n</mi>
                  </mstyle>
                </math>
              th entry in each column of a table generated from a constant difference
                <math>
                  <mstyle>
                    <mi>e</mi>
                  </mstyle>
                </math>
              , with every column increasing.
                <lb/>
              Entries in column 0 are constant (
                <math>
                  <mstyle>
                    <mi>e</mi>
                  </mstyle>
                </math>
              ).
                <lb/>
              Entries in column 1 are denoted by
                <math>
                  <mstyle>
                    <mrow>
                      <msup>
                        <mi>v</mi>
                        <mn>1</mn>
                      </msup>
                    </mrow>
                  </mstyle>
                </math>
              .
                <lb/>
              Entries in column 2 are denoted by
                <math>
                  <mstyle>
                    <mrow>
                      <msup>
                        <mi>v</mi>
                        <mn>2</mn>
                      </msup>
                    </mrow>
                  </mstyle>
                </math>
              .
                <lb/>
              and so on; the small numbers are superscripts, not powers.
                <lb/>
              The lower half of the page lists the possible combinations of increasing columns (c) and decreasing columns (d), for up to four columns.</s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Ad
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Casus differentiarum
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Cases of progressions of ]</s>
            <lb/>
            <s xml:space="preserve"> c. designat crescentes
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            c. denotes increasing ]</s>
            <lb/>
            <s xml:space="preserve"> d.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            d. ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> æquationis secundi omnes
              <lb/>
            hoc casus habentur in
              <lb/>
            alijs
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            all cases of the second equation here are to be found in other ]</s>
          </p>
        </div>
      </text>
    </echo>
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