Harriot, Thomas, Mss. 6782

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          <head xml:space="preserve" xml:lang="lat"> De Infinitis. Ratio
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On infinity. The ratio of ]</head>
          <p>
            <s xml:space="preserve"> There is a reason
              <emph style="super">of Zeno</emph>
            in Aristotle (in the 6th booke of his phisickes. text. 78.) which
              <lb/>
            for the sorce it seemeth to carry is called </s>
            <s xml:space="preserve"> And for that cause, no doubt,
              <lb/>
            is
              <emph style="super">the</emph>
            name also Achilles used in the example to expresse the </s>
            <s xml:space="preserve"> The which
              <lb/>
            because it is against Aristotles & for that it compryseth matter
              <emph style="super">pregnant</emph>
              <lb/>
            of greater consequence concerning the doctrine of infinites, it being there
              <lb/>
            but briefly & obscurely set downe with an answere uncertayne: I thinke good
              <lb/>
            to set
              <emph style="st">[???]</emph>
            downe more [???] & largely: with Aristotles Answere as he hath
              <lb/>
            it in the place allwayes, as also at full according to his owne doctrine in
              <lb/>
            other </s>
            <s xml:space="preserve"> To the end that comparing one with the other, the truth may appear,
              <lb/>
            & perhaps [¿]seem[?] otherwise to be, then yet hath been by the peripateticles either noted or
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            </s>
          </p>
          <p>
            <s xml:space="preserve"> The proposition of Zeno </s>
            <s xml:space="preserve"> The swift runner (runne he never so
              <lb/>
            swiftly) shall never overtake the slow runner
              <emph style="super">mover</emph>
            (runne
              <emph style="super">move</emph>
            he never
              <lb/>
            so </s>
            <lb/>
            <s xml:space="preserve"> That there may be
              <emph style="super">no</emph>
            doubte of the meaning of the
              <lb/>
            proposition we will declare what thinges are therein </s>
            <lb/>
            <s xml:space="preserve">
              <emph style="st">The suppositions for the reason are adjoyned.</emph>
            </s>
            <lb/>
            <s xml:space="preserve"> ffirst, (as it ought to be, else the proposition were ridiculous) The motion
              <lb/>
            of the runner & slow mover are understood to be both one way & in
              <lb/>
            one right </s>
            <lb/>
            <s xml:space="preserve"> Secondly
              <emph style="st">the [???] of [???] must be of some [???]</emph>
            The
              <lb/>
            </s>
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