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

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          <chap>
            <pb xlink:href="040/01/411.jpg" pagenum="389"/>
            <p type="margin">
              <s>
                <margin.target id="marg748"/>
                <emph type="italics"/>
              Two ſorts of
                <lb/>
              motions of the
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              taining Veſſel, may
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              make the
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              ned water to riſe
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              and fall.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg749"/>
                <emph type="italics"/>
              The Cavities of
                <lb/>
              the Earth cannot
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              approach or go
                <lb/>
              ther from the
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              tre of the ſame.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg750"/>
                <emph type="italics"/>
              The progpeſſive
                <lb/>
              and uneven motion
                <lb/>
              may make the
                <lb/>
              ter contained in a
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              Veſſel to run to
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              and fro.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg751"/>
              + A Town
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              ing S. E. of
                <emph type="italics"/>
              Venice
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg752"/>
                <emph type="italics"/>
              The parts of the
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              terreſtrial Globe
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              accelerate and
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              tard in their
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              on.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>This Propoſition, at firſt ſight to me, that am neither
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              Geometrician nor Aſtronomer, hath the appearance of a very
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              great Paradox; and if it ſhould be true, that the motion of the
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                <emph type="italics"/>
              whole,
                <emph.end type="italics"/>
              being regular, that of the parts, which are all united to
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              their
                <emph type="italics"/>
              whole,
                <emph.end type="italics"/>
              may be irregular, the Paradox will overthrow the
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              Axiome that affirmeth,
                <emph type="italics"/>
              Eandem eſſe rationem totius &
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              tium.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>I will demonſtrate my Paradox, and leave it to your
                <lb/>
              care,
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              to defend the Axiome from it, or elſe to
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              concile them; and my demonſtration ſhall be ſhort and
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              miliar, depending on the things largely handled in our
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              dent conferences, without introducing the leaſt ſyllable, in
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              vour of the flux and reflux.</s>
            </p>
            <p type="main">
              <s>We have ſaid, that the motions aſſigned to the Terreſtrial
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                <arrow.to.target n="marg753"/>
                <lb/>
              Globe are two, the firſt Annual, made by its centre about the
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              circumference of the Grand Orb, under the Ecliptick, according
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              to the order of the Signes, that is, from Weſt to Eaſt; the other
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              made by the ſaid Globe revolving about its own centre in twenty
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              four hours; and this likewiſe from Weſt to Eaſt: though
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              bout an Axis ſomewhat inclined, and not equidiſtant from that
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              of the Annual converſion. </s>
              <s>From the mixture of theſe two
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              tions, each of it ſelf uniform, I ſay, that there doth reſult an
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              uneven and deformed motion in the parts of the Earth. </s>
              <s>Which,
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              that it may the more eaſily be underſtood, I will explain, by
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              drawing a Scheme thereof. </s>
              <s>And firſt, about the centre A [
                <emph type="italics"/>
              in
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              Fig. </s>
              <s>1. of this Dialogue
                <emph.end type="italics"/>
              ] I will deſcribe the circumference of
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                <arrow.to.target n="marg754"/>
                <lb/>
              the Grand Orb B C, in which any point being taken, as B,
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              about it as a centre we will deſcribe this leſſer circle D E F G,
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              repreſenting the Terreſtrial Globe; the which we will ſuppoſe
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              to run thorow the whole circumference of the Grand Orb, with
                <lb/>
              its centre B, from the Weſt towards the Eaſt, that is, from the
                <lb/>
              part B towards C; and moreover we will ſuppoſe the
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              ſtrial Globe to turn about its own centre B likewiſe from Weſt
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              to Eaſt, that is, according to the ſucceſſion of the points
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              D E F G, in the ſpace of twenty four hours. </s>
              <s>But here we
                <lb/>
              ought carefully to note, that a circle turning round upon its
                <lb/>
              own centre, each part of it muſt, at different times, move with
                <lb/>
              contrary motions: the which is manifeſt, conſidering that whilſt
                <lb/>
              the parts of the circumference, about the point D move to the
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              left hand, that is, towards E, the oppoſite parts that are about F,
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              approach to the right hand, that is, towards G; ſo that when
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              the parts D ſhall be in F, their motion ſhall be contrary to what
                <lb/>
              it was before. </s>
              <s>when it was in D. Furthermore, the ſame time
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              that the parts E deſcend, if I may ſo ſpeak, towards F, thoſe in
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              G aſcend towards D. </s>
              <s>It being therefore preſuppoſed, that </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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