Harriot, Thomas, Mss. 6784

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491
491 (246) 		492
492 (246v)
493
493 (247) 		494
494 (247v)
495
495 (248) 		496
496 (248v)
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498 (249v)
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500 (250v)
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      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f429" o="429" n="857"/>
          <head xml:space="preserve" xml:lang="lat"> De infinitis. Ex ratione motus, temporis et
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On infinity. From the ratio of motion, time and ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Vide
              <reg norm="Aristotle" type="abbr">Arist</reg>
            . lib. 6. tret. 23.
              <lb/>
            proclum de motu lib. 1. pro.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            See Aristotle, Book 6, Treatise 23.
              <lb/>
            Proclus,
              <emph style="it">De motu</emph>
            , Book 1, Proposition 14. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 1.
              <lb/>
            Moveatur A corpus
              <lb/>
            per
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            spatium in
              <lb/>
            tempore
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
            atque sit
              <lb/>
            ille motus
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let a body A be moved through a distance
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            in a time
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
            and let that motion is uniform. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> infinite
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            infinite ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            an ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            a ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> aliquod
              <lb/>
            infinite
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            infinite ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> minimum
              <lb/>
            eadem
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            minimum in the same ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Indivisibile
              <lb/>
            eadem
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            An indivisble in the same ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Indivisibile
              <lb/>
            sed non punctum
              <lb/>
            vel instans ut alia
              <lb/>
            ratione
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            And indivisble but not a point or an instant that can be inferred from the other ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> 2.
              <lb/>
            Moveatur A corpus per
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            spatium
              <lb/>
            in tempore
              <math>
                <mstyle>
                  <mfrac>
                    <mrow>
                      <mi>d</mi>
                      <mi>e</mi>
                    </mrow>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            atque sit ille
              <lb/>
            motus
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let a body A be moved through a distance
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            in time
              <math>
                <mstyle>
                  <mfrac>
                    <mrow>
                      <mi>d</mi>
                      <mi>e</mi>
                    </mrow>
                    <mrow>
                      <mn>2</mn>
                    </mrow>
                  </mfrac>
                </mstyle>
              </math>
            and let that motion be uniform. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            an ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            a ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Indivisibile
              <lb/>
            eadem
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            An indivisble in the same ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Indivisibile quod
              <lb/>
            dimidium est
              <lb/>
            Indivisibilis ex
              <lb/>
            priori
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            An indivisble whose half is indivisble by the previous ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Ergo
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Indivisibile quod
              <lb/>
            dimidium est
              <lb/>
            Indivisibilis ex
              <lb/>
            priori
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            An indivisble whose half is indivisble by the previous ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            a ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            a ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Ergo punctum quod ponebatur esse
              <lb/>
            indivisbile, alia ratione inferetur
              <lb/>
            Divisibile, et sic in
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore a point that can be supposed indivisble, is inferred from the other ratio to be divisible, and thus infinitely.</s>
          </p>
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