Galilei, Galileo, Mechanics, 1665

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    <archimedes>
      <text>
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          <chap>
            <p type="main">
              <s>
                <pb xlink:href="070/01/011.jpg" pagenum="281"/>
              Body all at once, which would not have been moved by the ſame
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              Force, in the ſame Time, with an equall Motion, ſave onely in
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              pieces, without the help of the Leaver.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1107"/>
              If of Iron, it is
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              called a Crow,
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              if of wood, a Bar
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              or Hand-ſpike.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1108"/>
              Or Space.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              Of the
                <emph.end type="italics"/>
              CAPSTEN
                <emph type="italics"/>
              and of the
                <emph.end type="italics"/>
              CRANE.</s>
            </p>
            <p type="main">
              <s>The Inſtruments which we are now about to declare, have
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              immediate dependence upon the Leaver, nay, are no other
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              but a perpetual Vectis or Leaver. </s>
              <s>For if we ſhall ſuppoſe the
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              Leaver B A C to be ſuſtained in
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              the point A, and the Weight G to
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                <figure id="id.070.01.011.1.jpg" xlink:href="070/01/011/1.jpg" number="7"/>
                <lb/>
              hang at the point B, the Force be­
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              ing placed in C; It is manifeſt,
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              that transferring the Leaver unto
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              the points D A E, the Weight G
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              doth alter according to the Di­
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              ſtance B D, but cannot much far­
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              ther continue to raiſe it, ſo that
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              if it were required to elevate it yet
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              higher, it would be neceſſary to
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              ſtay it by ſome other Fulciment
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              in this Poſition, and to remit or return the Leaver to its former Po­
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              ſition B A C, and ſuſpending the Weight anew thereat, to raiſe it
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              once again to the like height B D; and in this manner repeating
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              the work, many times one ſhall come with an interrupted Motion
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              to effect the drawing up of the Weight, which for many reſpects
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              will not prove very beneficial: whereupon this difficulty hath bin
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              thought on, and remedied, by finding out a way how to unite to­
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              gether almoſt infinite Leavers, perpetuating the operation without
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              any interruption; and this hath been done by framing a Wheel
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              about the Center A, according to the Semidiameter A C, and an
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              Axis or Nave, about the ſame Center, of which let the Line A B
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              be the Semidiameter; and all this of very tough wood, or of other
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              ſtrong and ſolid matter, afterwards ſuſtaining the whole Machine
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              upon a Gudgeon or Pin of Iron planted in the point A, which
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              paſſeth quite thorow, where it is held faſt by two fixed Fulciments,
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              and the Rope D B G, at which the weight G hangeth, being be-laid
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              or wound about the Axis or Barrell, and applying another Rope
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              about the greater Wheel, at which let the other Grave I be hang­
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              ed: It is manifeſt, that the length C A having to the other A B
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              the ſelf-ſame proportion that the Weight G hath to the Weight I,
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              it may ſuſtain the Grave G, and with any little Moment more ſhall
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              move it: and becauſe the Axis turning round together with the
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              Wheel, the Ropes that ſuſtain the Weights are alwaies pendent and
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              contingent with the extream Circumferences of that Wheel and </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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