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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/1009.jpg" pagenum="315"/>
              alſo inſtead of the Chord that rolleth about the Cylinder C, place
                <lb/>
              there a ſmall Wheel with teeth or Coggs, that may turn another
                <lb/>
              greater, and by that means multiply the power of the Force as
                <lb/>
              much as one ſhall pleaſe, without having any thing to deduct of
                <lb/>
              the ſame, ſave only the difficulty of moving the Machine, as in the
                <lb/>
              others.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              The
                <emph.end type="italics"/>
              SCREW,
                <emph type="italics"/>
              Cochlea.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>When once the Force of the Capſten and of the In­
                <lb/>
              clined Plane is underſtood, that of the Screw is eaſie
                <lb/>
              to be computed, for it is compoſed only of a Plane
                <lb/>
              much inclined, which windeth about a Cylinder: and if this Plane
                <lb/>
              be in ſuch manner Inclined, as that the Cylinder ought to make
                <lb/>
                <emph type="italics"/>
              v. </s>
              <s>gr.
                <emph.end type="italics"/>
              ten turns to advance forwards the length of a foot in the
                <lb/>
              Screw, and that the bigneſs of the Circumference of the Circle
                <lb/>
                <figure id="id.040.01.1009.1.jpg" xlink:href="040/01/1009/1.jpg" number="213"/>
                <lb/>
              which the Force that turneth it
                <lb/>
              about doth deſcribe be of ten
                <lb/>
              feet; foraſmuch as ten times ten
                <lb/>
              are one hundred, one Man alone
                <lb/>
              ſhall be able to preſs as ſtrongly
                <lb/>
              with this Inſtrument, or Screw, as
                <lb/>
              one hundred without it, provided
                <lb/>
              alwaies, that we rebate the Force
                <lb/>
              that is required to the turning
                <lb/>
              of it.</s>
            </p>
            <p type="main">
              <s>Now I ſpeak here of Preſſing rather than of Raiſing, or Remo­
                <lb/>
              ving, in regard that it is about this moſt commonly that the Screw
                <lb/>
              is employed, but when we would make uſe of it for the raiſing of
                <lb/>
              Weights, inſtead of making it to advance into a Female Screw, we
                <lb/>
              joyn or apply unto it a Wheel of many Coggs, in ſuch ſort
                <lb/>
              made, that if
                <emph type="italics"/>
              v. </s>
              <s>gr.
                <emph.end type="italics"/>
              this
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              heel have thirty Coggs, whilſt the Screw
                <lb/>
              maketh one entire turn, it ſhall not cauſe the
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              heel to make more
                <lb/>
              than the thirtieth part of a turn, and if the
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              eight be faſtned to
                <lb/>
              a Chord that rowling about the Axis of this
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              heel ſhall raiſe it but
                <lb/>
              one foot in the time that the
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              heel makes one entire revolution,
                <lb/>
              and that the greatneſs of the Circumference of the Circle that is
                <lb/>
              deſcribed by the Force that turneth the Screw about be alſo of ten
                <lb/>
              ſeet, by reaſon that 10 times 30 make 300, one ſingle Man ſhall be
                <lb/>
              able to raiſe a
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              eight of that bigneſs with this Inſtrument, which
                <lb/>
              is called the Perpetual Screw, as would require 300 men with­
                <lb/>
              out it.</s>
            </p>
            <p type="main">
              <s>Provided, as before, that we thence deduct the difficulty that
                <lb/>
              we meet with in turning of it, which is not properly cauſed by the
                <lb/>
              Ponderoſity of the
                <emph type="italics"/>
              W
                <emph.end type="italics"/>
              eight, but by the Force or Matter of the In­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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