Harriot, Thomas, Mss. 6782

List of thumbnails

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491
491 (246) 		492
492 (246v)
493
493 (247) 		494
494 (247v)
495
495 (248) 		496
496 (248v)
497
497 (249) 		498
498 (249v)
499
499 (250) 		500
500 (250v)
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          <p xml:lang="lat">
            <s xml:space="preserve"> Data secundum trium proportionalium: invenire primam et tertiam,
              <lb/>
            ut illarum differentia sit æqualis bis secundæ
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given the second of three proportionals: find the first and third so that their difference is equal to twice the given second.</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sit:
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            prima,
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            , secunda.
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            ut illarum differentia sit æqualis bis secundæ
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            [
              <emph style="bf">Translation: </emph>
            Let
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            be the first,
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            the second, such that their difference is equal to twice the given second. </s>
            <lb/>
            <s xml:space="preserve">[…]</s>
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            <s xml:space="preserve">
              <math>
                <mstyle>
                  <mo>=</mo>
                  <mi>a</mi>
                  <mi>t</mi>
                  <mo>=</mo>
                  <mi>a</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            . Rationalis
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            [
              <emph style="bf">Translation: </emph>
            Rational in ]</s>
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              <math>
                <mstyle>
                  <mi>d</mi>
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            Apotome 5
              <emph style="super">ta</emph>
            , 1
              <emph style="super">o</emph>
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            [
              <emph style="bf">Translation: </emph>
            A fifth ]</s>
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              <math>
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                  <mi>b</mi>
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            Rationalis
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            [
              <emph style="bf">Translation: </emph>
            The supposed ]</s>
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              <math>
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            Binomia 5
              <emph style="super">a</emph>
            , 1
              <emph style="super">o</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A fifth ]</s>
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            <s xml:space="preserve"> Erit etiam […]
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                  <mi>f</mi>
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            . Binomia 4
              <emph style="super">a</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            There will also be a fourth binome </s>
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            <s xml:space="preserve">
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mi>b</mi>
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            . Apotome 4
              <emph style="super">a</emph>
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            [
              <emph style="bf">Translation: </emph>
            a fourth ]</s>
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            . cum rationalium medium totum efficiens 1
              <emph style="super">o</emph>
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            [
              <emph style="bf">Translation: </emph>
            with the rational, making the mean of ]</s>
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              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>e</mi>
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            .
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            [
              <emph style="bf">Translation: </emph>
            ]</s>
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            <s xml:space="preserve">
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
            .
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
            <lb/>
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              <math>
                <mstyle>
                  <mi>e</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
            . Rationale et medium potens. 1
              <emph style="super">o</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            A power of the rational and the ]</s>
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