Harriot, Thomas, Mss. 6782

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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> The top of the page shows the working out of the formula for the sum of </s>
              <lb/>
              <s xml:space="preserve"> The proposition quoted from Maurolico is from
                <emph style="it">Arithmeticorum libri duo</emph>
                <ref id="maurolico_1575" target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/mpiwg/online/permanent/library/XFWC6D23/pageimg&start=341&viewMode=images&pn=345&mode=imagepath"> (Maurolico 1575, Prop </ref>
              : </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Omnis trianguli quadratus, aequalis est aggregato cuborum ab unitate usque ad cubum triangulo collateralem inclusiue sumptorum.</s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> The square of every triangular number is equal to the sum of cubes from one, to the cube of the side of the triangular number, all taken together.)</s>
              </quote>
              <lb/>
              <s xml:space="preserve"> Maurolico gives as an example
                <math>
                  <mstyle>
                    <mn>2</mn>
                    <mn>2</mn>
                    <mn>5</mn>
                    <mo>=</mo>
                    <mn>1</mn>
                    <mo>+</mo>
                    <mn>8</mn>
                    <mo>+</mo>
                    <mn>2</mn>
                    <mn>7</mn>
                    <mo>+</mo>
                    <mn>6</mn>
                    <mn>4</mn>
                    <mo>+</mo>
                    <mn>1</mn>
                    <mn>2</mn>
                    <mn>5</mn>
                  </mstyle>
                </math>
              . </s>
              <lb/>
              <s xml:space="preserve"> At the bottom of the page are formulae for sums of units, lines, squares, cubes, and </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Ad aggregata Z. C. ZZ. &
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Towards the sums of squares, cubes, square-squares, ]</head>
          <p>
            <s xml:space="preserve"/>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <reg norm="Maurolico" type="abbr">Maurol</reg>
            . pag.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Maurolico page ]</s>
            <lb/>
            <s xml:space="preserve"> omnis triangula quadratus
              <lb/>
            æqualis est aggregato cuborum
              <lb/>
            ab unitate usque ad cubum triangulo
              <lb/>
            collateralem incipio
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            the square of every triangluar number is equal to the sum of cubes from one, to the cube of the corresponding triangular number taken from the beginning.</s>
          </p>
          <p>
            <s xml:space="preserve"> lines </s>
            <lb/>
            <s xml:space="preserve"> lines æqually </s>
            <lb/>
            <s xml:space="preserve"> squares æqually [???]
              <lb/>
            in their rootes. &</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Vel: per
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Or: by ]</s>
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