Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/187.jpg" pagenum="169"/>
              then when they are in a ſtate of having a propenſion of moving
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              naturally to the ſame. </s>
              <s>Tie a bottle that hath water in it, to
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              the end of a cord, and holding the other end faſt in your hand,
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              and making the cord and your arm the ſemi-diameter, and the
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              knitting of the ſhoulder the centre, ſwing the bottle very faſt
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              bout, ſo as that it may deſcribe the circumference of a circle,
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              which, whether it be parallel to the Horizon, or perpendicular to
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              it, or any way inclined, it ſhall in all caſes follow, that the
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              ter will not fall out of the bottle: nay, he that ſhall ſwing it,
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              ſhall find the cord always draw, and ſtrive to go farther from the
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              ſhoulder. </s>
              <s>And if you bore a hole in the bottom of the bottle,
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              you ſhall ſee the water ſpout forth no leſs upwards into the skie,
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              than laterally, and downwards to the Earth; and if inſtead of
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              ter, you ſhall put little pebble ſtones into the bottle, and ſwing it
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              in the ſame manner, you ſhall find that they will ſtrive in the like
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              manner againſt the cord. </s>
              <s>And laſtly, we ſee boys throw ſtones
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              a great way, by ſwinging round a piece of a ſtick, at the end of
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              which the ſtone is let into a ſlit
                <emph type="italics"/>
              (which ſtick is called by them a
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              ſling;)
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              all which are arguments of the truth of the concluſion,
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              to wit, that the
                <emph type="italics"/>
              vertigo
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              or ſwing conferreth upon the moveable,
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              a motion towards the circumference, in caſe the motion be ſwift:
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              and therefore if the Earth revolve about its own centre, the
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              tion of the ſuperficies, and eſpecially towards the great circle,
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              as being incomparably more ſwift than thoſe before named, ought
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              to extrude all things up into the air.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>The Argument ſeemeth to me very well proved and
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              inforced; and I believe it would be an hard matter to anſwer and
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              overthrow it.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Its ſolution dependeth upon certain notions no leſs
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              known and believed by you, than by my ſelf: but becauſe they
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              come not into your mind, therefore it is that you perceive not the
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              anſwer; wherefore, without telling you it (for that you know the
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              ſame already) I ſhall with onely aſſiſting your memory, make you
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              to refute this argument.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I have often thought of your way of arguing, which
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              hath made me almoſt think that you lean to that opinion of
                <emph type="italics"/>
              Pla-
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg363"/>
                <lb/>
                <emph type="italics"/>
              to, Quòd noſtrum ſcire ſit quoddam reminiſci
                <emph.end type="italics"/>
              ; therefore I intreat
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              you to free me from this doubt, by letting me know your
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              ment.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg363"/>
                <emph type="italics"/>
              Our krowledg is
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              a kind of
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              cence according to
                <emph.end type="italics"/>
                <lb/>
              Plato.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>What I think of the opinion of
                <emph type="italics"/>
              Plato,
                <emph.end type="italics"/>
              you may gather
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              from my words and actions. </s>
              <s>I have already in the precedent
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              ferences expreſly declared my ſelf more than once; I will purſue
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              the ſame ſtyle in the preſent caſe, which may hereafter ſerve you
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              for an example, thereby the more eaſily to gather what my
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              nion is touching the attainment of knowledg, when a time ſhall </s>
            </p>
          </chap>
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    </archimedes>
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