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

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          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/207.jpg" pagenum="189"/>
              as in the greater, the velocity is greater onely in the bigger wheel,
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                <arrow.to.target n="marg384"/>
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              for that its circumference is bigger; there is no man that thinketh
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              that the cauſe of the extruſion in the great wheel will encreaſe
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              cording to the proportion of the velocity of its circumference, to
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              the velocity of the circumference of the other leſſer wheel; for that
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              this is moſt falſe, as by a moſt expeditious experiment I ſhall thus
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              groſly declare: We may ſling a ſtone with a ſtick of a yard long,
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              farther than we can do with a ſtick ſix yards long, though
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              the motion of the end of the long ſtick, that is of the ſtone placed
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              in the ſlit thereof, were more than double as ſwift as the
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              tion of the end of the other ſhorter ſtick, as it would be if
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              the velocities were ſuch that the leſſer ſtick ſhould turn thrice
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              round in the time whilſt the greater is making one onely
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              verſion.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg384"/>
                <emph type="italics"/>
              The cauſe of the
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              projection
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              eth not according
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              to the proportion of
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              the velocity,
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              creaſed by making
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              the wheel bigger.
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              </s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>This which you tell me,
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              Salviatus,
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              muſt, I ſee, needs
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              ſucceed in this very manner; but I do not ſo readily apprehend
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              the cauſe why equal velocities ſhould not operate equally in
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              extruding projects, but that of the leſſer wheel much more than
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              the other of the greater wheel; therefore I intreat you to tell me
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              how this cometh to paſs.</s>
            </p>
            <p type="main">
              <s>SIMP. Herein,
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              Sagredus,
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              you ſeem to differ much from your
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              ſelf, for that you were wont to penetrate all things in an inſtant,
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              and now you have overlook'd a fallacy couched in the experiment
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              of the ſtick, which I my ſelf have been able to diſcover: and this
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              is the different manner of operating, in making the projection one
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              while with the ſhort ſling and another while with the long one,
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              for if you will have the ſtone fly out of the ſlit, you need not
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              tinue its motion uniformly, but at ſuch time as it is at the ſwifteſt,
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              you are to ſtay your arm, and ſtop the velocity of the ſtick;
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              upon the ſtone which was in its ſwifteſt motion, flyeth out, and
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              moveth with impetuoſity: but now that ſtop cannot be made in
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              the great ſtick, which by reaſon of its length and flexibility, doth
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              not entirely obey the check of the arm, but continueth to
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              pany the ſtone for ſome ſpace, and holdeth it in with ſo much leſs
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              force, and not as if you had with a ſtiff ſling ſent it going with a
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              jerk: for if both the ſticks or ſlings ſhould be check'd by one and
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              the ſame obſtacle, I do believe they would fly aſwell out of the
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              one, as out of the other, howbeit their motions were equally
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              ſwift.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>With the permiſſion of
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              Salviatus,
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              I will anſwer
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              thing to
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              Simplicius,
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              in regard he hath addreſſed himſelf to me;
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              and I ſay, that in his diſcourſe there is ſomewhat good
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              and ſomewhat bad: good, becauſe it is almoſt all true;
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              bad, becauſe it doth not agree with our caſe: Truth is, that when
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              that which carrieth the ſtones with velocity, ſhall meet with a </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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