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

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            <pb xlink:href="040/01/206.jpg" pagenum="188"/>
            <p type="margin">
              <s>
                <margin.target id="marg383"/>
                <emph type="italics"/>
              The conſtitution
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              of the Univerſe is
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              one of the moſt
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              ble Problems.
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              </s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>I would not have you,
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              Salviatus,
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              meaſure our wits by
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              the ſcale of yours: you, who uſe to be continually buſied about
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              the ſublimeſt contemplations, eſteem thoſe notions frivolous and
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              below you, which we think matters worthy of our profoundeſt
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              thoughts: yet ſometimes for our ſatisfaction do not diſdain to
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              ſtoop ſo low as to give way a little to our curioſity. </s>
              <s>As to the
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              refutation of the laſt argument, taken from the extruſions of the
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              diurnal
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              vertigo,
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              far leſs than what hath been ſaid, would have
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              given me ſatisfaction: and yet the things ſuperfluouſly ſpoken,
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              ſeemed to me ſo ingenious, that they have been ſo far from
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              rying my fancy, as that they have, by reaſon of their novelty,
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              tertained me all along with ſo great delight, that I know not how
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              to deſire greater: Therefore, if you have any other ſpeculation
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              to add, produce it, for I, as to my own particular, ſhall gladly
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              hearken to it.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>I have always taken great delight in thoſe things which
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              I have had the fortune to diſcover, and next to that, which is my
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              chief content, I find great pleaſure in imparting them to ſome
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              friends, that apprehendeth and ſeemeth to like them: Now, in
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              gard you are one of theſe, ſlacking a little the reins of my
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              tion, which is much pleaſed when I ſhew my ſelf more
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              cacious, than ſome other that hath the reputation of a ſharp
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              ſight, I will for a full and true meaſure of the paſt diſpute,
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              duce another fallacy of the Sectators of
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              Ptolomey
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              and
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              Ariſtotle,
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                <lb/>
              which I take from the argument alledged.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>See how greedily I wait to hear it.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>We have hitherto over-paſſed, and granted to
                <emph type="italics"/>
              Ptolomey,
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              as an effect indubitable, that the extruſion of the ſtone
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              ing from the velocity of the wheel turn'd round upon its centre,
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              the cauſe of the ſaid extruſion encreaſeth in proportion, as the
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              locity of the
                <emph type="italics"/>
              vertigo
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              (or whirling) is augmented: from whence
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              it was inferred, that the velocity of the Earth's
                <emph type="italics"/>
              vertigo
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              being
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              very much greater than that of any machin whatſoever, that we
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              can make to turn round artificially; the extruſion of ſtones, of
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              animals, &c. </s>
              <s>would conſequently be far more violent. </s>
              <s>Now, I
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              obſerve that there is a great fallacy in this diſcourſe, in that we do
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              compare theſe velocities indifferently and abſolutely to one
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              ther. </s>
              <s>It's true, that if I compare the velocities of the ſame wheel,
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              or of two wheels equal to each other, that which ſhall be more
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              ſwiftly turn'd round, ſhall extrude the ſtone with greater
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              lence; and the velocity encreaſing, the cauſe of the projection
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              ſhall likewiſe encreaſe: but when the velocity is augmented, not
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              by encreaſing the velocity in the ſame wheel, which would be by
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              cauſing it to make a greater number of revolutions in equal times;
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              but by encreaſing the diameter, and making the wheel greater, ſo
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              as that the converſion taking up the ſame time in the leſſer wheel, </s>
            </p>
          </chap>
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