Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/139.jpg" pagenum="121"/>
            <p type="main">
              <s>SALV. </s>
              <s>But if it ſhould happen that the Terreſtrial Globe did
                <lb/>
              move round, and conſequently carry the Tower alſo along with
                <lb/>
              it, and that the ſtone did then alſo grate and ſlide along the ſide of
                <lb/>
              the Tower, what muſt its motion be then?</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>In this caſe we may rather ſay its motions: for it
                <lb/>
              would have one wherewith to deſcend from the top of the Tower
                <lb/>
              to the bottom, and ſhould neceſſarily have another to follow the
                <lb/>
              courſe of the ſaid Tower.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>So that its motion ſhould be compounded of two, to
                <lb/>
              wit, of that wherewith it meaſureth the Tower, and of that
                <lb/>
              ther wherewith it followeth the ſame: From which compoſition
                <lb/>
              would follow, that the ſtone would no longer deſcribe that ſimple
                <lb/>
              right and perpendicular line, but one tranſverſe, and perhaps not
                <lb/>
              ſtreight.</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>I can ſay nothing of its non-rectitude, but this I know
                <lb/>
              very well, that it would of neceſſity be tranſverſe, and different
                <lb/>
              from the other directly perpendicular, which it doth deſcribe, the
                <lb/>
              Earth ſtanding ſtill.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>You ſee then, that upon the meer obſerving the falling
                <lb/>
              ſtone to glide along the Tower, you cannot certainly affirm that
                <lb/>
              it deſcribeth a line which is ſtreight and perpendicular, unleſs you
                <lb/>
              firſt ſuppoſe that the Earth ſtandeth ſtill.</s>
            </p>
            <p type="main">
              <s>SIMPL. True; for if the Earth ſhould move, the ſtones
                <lb/>
              tion would be tranſverſe, and not perpendicular.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Behold then the Paralogiſm of
                <emph type="italics"/>
              Ariſtotle
                <emph.end type="italics"/>
              and
                <emph type="italics"/>
              Ptolomey
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg310"/>
                <lb/>
              to be evident and manifeſt, and diſcovered by you your ſelf,
                <lb/>
              wherein that is ſuppoſed for known, which is intended to be
                <lb/>
              monſtrated.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg310"/>
                <emph type="italics"/>
              The Paralogiſm
                <lb/>
              of
                <emph.end type="italics"/>
              Ariſtotle
                <emph type="italics"/>
              and
                <emph.end type="italics"/>
                <lb/>
              Ptolomey
                <emph type="italics"/>
              in
                <lb/>
              poſing that for
                <lb/>
              known, which is in
                <lb/>
              queſtion.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>How can that be? </s>
              <s>To me it appeareth that the
                <lb/>
              Syllogiſm is rightly demonſtrated without
                <emph type="italics"/>
              petitionem principii.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>You ſhall ſee how it is; anſwer me a little. </s>
              <s>Doth he
                <lb/>
              not lay down the concluſion as unknown?</s>
            </p>
            <p type="main">
              <s>SIMPL. Unknown; why otherwiſe the demonſtrating it would
                <lb/>
              be ſuperfluous.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>But the middle term, ought not that to be known?</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>Its neceſſary that it ſhould; for otherwiſe it would be
                <lb/>
              a proving
                <emph type="italics"/>
              ignotum per æquè ignotum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Our concluſion which is to be proved, and which is
                <lb/>
              known, is it not the ſtability of the Earth?</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>It is the ſame.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>The middle term, which ought to be known, is it not the
                <lb/>
              ſtreight and perpendicular deſcent of the ſtone?</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>It is ſo.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>But was it not juſt now concluded, that we can have
                <lb/>
              no certain knowledg whether that ſame ſhall be direct and </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum