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

List of thumbnails

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/261.jpg" pagenum="243"/>
              ſwift, ſhall in that point be exceeding ſlow; But the great
                <lb/>
              nitude of the body is that which maketh it of exceeding ſlow, to
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              become exceeding ſwift, although it continueth ſtill the ſame, and
                <lb/>
              thus the velocity encreaſeth, not beyond the model of the
                <lb/>
              ject, but rather according to it, and to its magnitude; very
                <lb/>
              ferently from the imagination of
                <emph type="italics"/>
              Kepler.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg488"/>
                <emph type="italics"/>
              A ſixth
                <lb/>
              ment againſt
                <emph.end type="italics"/>
                <lb/>
              pernicus,
                <emph type="italics"/>
              taken
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              from animals, who
                <lb/>
              have need of
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              though their
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              on be natural.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg489"/>
                <emph type="italics"/>
              An argument
                <lb/>
              from
                <emph.end type="italics"/>
              Kepler
                <emph type="italics"/>
              in
                <lb/>
              vour of
                <emph.end type="italics"/>
                <lb/>
              cus.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg490"/>
                <emph type="italics"/>
              The Author of
                <lb/>
              the Anti Tycho
                <lb/>
              poſeth
                <emph.end type="italics"/>
              Kepler.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg491"/>
                <emph type="italics"/>
              The velocity of
                <lb/>
              the circular
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              on increaſeth,
                <lb/>
              cording to the
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              creaſe of the
                <lb/>
              meter of the circle.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>I do not believe that this Author hath entertained ſo
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              mean and poor a conceit of
                <emph type="italics"/>
              Kepler,
                <emph.end type="italics"/>
              as to perſwade himſelf that
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              he did not underſtand, that the higheſt term of a line drawn from
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              the centre unro the Starry Sphere, moveth more ſwiftly than a
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              point of the ſame line taken within a yard or two of the centre. </s>
              <s>And
                <lb/>
              therefore of neceſſity he muſt have conceived and
                <lb/>
                <arrow.to.target n="marg492"/>
                <lb/>
              ed that the mind and intention of
                <emph type="italics"/>
              Kepler
                <emph.end type="italics"/>
              was to have ſaid, that
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              it is leſſe inconvenient to encreaſe an immoveable body to an
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              traordinary magnitude, than to aſcribe an extraordinary velocity
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              to a body, though very bigge, having regard to the model,
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              that is to the gauge, and to the example of other natural bodies;
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              in which we ſee, that the diſtance from the centre encreaſing, the
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              velocity diminiſheth; that is, that the periods of their
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              ons take up longer times. </s>
              <s>But in reſt which is not capable of
                <lb/>
                <arrow.to.target n="marg493"/>
                <lb/>
              mentation or diminution, the grandure or ſmalneſſe of the body
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              maketh no differeuce. </s>
              <s>So that if the anſwer of the Author would
                <lb/>
              be directed againſt the argument of
                <emph type="italics"/>
              Kepler,
                <emph.end type="italics"/>
              it is neceſſary, that
                <lb/>
              that Author doth hold, that to the movent principle its one and the
                <lb/>
              ſame to move in the ſame time a body very ſmall, or very
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              menſe, in regard that the augmentation of velocity inſeparably
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              attends the augmentation of the maſſe. </s>
              <s>But this again is contrary
                <lb/>
                <arrow.to.target n="marg494"/>
                <lb/>
              to the Architectonical rule of nature, which doth in the leſſer
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              Spheres, as we ſee in the Planets, and moſt ſenſibly in the
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              cean Stars, obſerve to make the leſſer Orbs to circulate in ſhorter
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              times: Whence the time of
                <emph type="italics"/>
              Saturns
                <emph.end type="italics"/>
              revolution is longer than all
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              the times of the other leſſer Spheres, it being thirty years; now
                <lb/>
              the paſſing from this to a Sphere very much bigger, and to make
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              it move in 24. hours, may very well be ſaid to exceed the rules of
                <lb/>
              the model. </s>
              <s>So that if we would but attentively conſider it, the
                <lb/>
              Authors anſwer oppoſeth not the intent and ſenſe of the argument,
                <lb/>
              but the expreſſing and manner of delivering of it; where again
                <lb/>
              the Author is injurious, and cannot deny but that he artificially
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              diſſembled his underſtanding of the words, that he might charge
                <lb/>
                <emph type="italics"/>
              Kepler
                <emph.end type="italics"/>
              with groſſe ignorance; but the impoſture was ſo very dull
                <lb/>
              and obvions, that he could not with all his craft alter the
                <lb/>
              on which
                <emph type="italics"/>
              Kepler
                <emph.end type="italics"/>
              hath begot of his Doctrine in the minds of all
                <lb/>
              the Learned. </s>
              <s>As in the next place, to the inſtance againſt the
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              perpetual motion of the Earth, taken from the impoſſibility of
                <lb/>
              its moving long without wearineſſe, in regard that living </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>