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

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            <p type="main">
              <s>
                <pb xlink:href="040/01/193.jpg" pagenum="175"/>
              tion, from which enſueth the ſeparation and elongation of the
                <lb/>
              pen from the Earth?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I cannot tell.</s>
            </p>
            <p type="main">
              <s>SALV. How, do you not know that? </s>
              <s>The moveable is here
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              the ſame, that is, the ſame pen; now how can the ſame moveable
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              ſuperate and exceed it ſelf in motion?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I do not ſee how it can overcome or yield to it ſelf in
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              motion, unleſſe by moving one while faſter, and another while
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              ſlower.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>You ſee then, that you do know it. </s>
              <s>If therefore the
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              projection of the pen ought to follow, and its motion by the
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              gent be to overcome its motion by the ſecant, what is it requiſite
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              that their velocities ſhould be?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>It is requiſite that the motion by the tangent be greater
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              than that other by the ſecant. </s>
              <s>But wretch that I am! Is it not
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              only many thouſand times greater than the deſcending motion of
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              the pen, but than that of the ſtone? </s>
              <s>And yet like a ſimple fellow
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              I had ſuffered my ſelf to be perſwaded, that ſtones could not be
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              extruded by the revolution of the Earth. </s>
              <s>I do therefore revoke
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              my former ſentence, and ſay, that if the Earth ſhould move,
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              ſtones, Elephants, Towers, and whole Cities would of neceſſity be
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              toſt up into the Air; and becauſe that that doth not evene, I
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              clude that the Earth doth not move.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Softly
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              you go on ſo faſt, that I begin to be
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              more afraid for you, than for the pen. </s>
              <s>Reſt a little, and obſerve what
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              I am going to ſpeap. </s>
              <s>If for the reteining of the ſtone or pen
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              nexed to the Earths ſurface it were neceſſary that its motion of
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              deſcent were greater, or as much as the motion made by the
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              gent; you would have had reaſon to ſay, that it ought of neceſſity
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              to move as faſt, or faſter by the ſecant downwards, than by the
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              tangent Eaſtwards: But did not you tell me even now, that a
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              thouſand yards of diſtance by the tangent from the contact, do
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              remove hardly an inch from the circumference? </s>
              <s>It is not
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              ent therefore that the motion by the tangent, which is the ſame
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              with that of the diurnall
                <emph type="italics"/>
              Vertigo,
                <emph.end type="italics"/>
              (or haſty revolution) be fimply
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              more ſwift than the motion by the ſecant, which is the ſame with
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              that of the pen in deſcending; but it is requiſite that the ſame be
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              ſo much more ſwift as that the time which ſufficeth for the pen
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              to move
                <emph type="italics"/>
              v.g.
                <emph.end type="italics"/>
              a thouſand yards by the tangent, be inſufficient for
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              it to move one ſole inch by the ſecant. </s>
              <s>The which I tell you ſhall
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              never be, though you ſhould make that motion never ſo ſwift,
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              and this never ſo ſlow.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>And why might not that by the tangent be ſo ſwift, as
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              not to give the pen time to return to the ſurface of the Earth?</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Try whether you can ſtate the caſe in proper termes, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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