Galilei, Galileo, Mechanics, 1665

Table of figures

< >
[Figure 11]
[Figure 12]
[Figure 13]
[Figure 14]
[Figure 15]
[Figure 16]
[Figure 17]
[Figure 18]
[Figure 19]
[Figure 20]
[Figure 21]
[Figure 22]
[Figure 23]
[Figure 24]
[Figure 25]
[Figure 26]
[Figure 27]
[Figure 28]
[Figure 29]
< >
page |< < of 40 > >|
    <archimedes>
      <text>
        <body>
          <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
                <lb/>
              Force, in the ſame Time, with an equall Motion, ſave onely in
                <lb/>
              pieces, without the help of the Leaver.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1107"/>
              If of Iron, it is
                <lb/>
              called a Crow,
                <lb/>
              if of wood, a Bar
                <lb/>
              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
                <lb/>
              immediate dependence upon the Leaver, nay, are no other
                <lb/>
              but a perpetual Vectis or Leaver. </s>
              <s>For if we ſhall ſuppoſe the
                <lb/>
              Leaver B A C to be ſuſtained in
                <lb/>
              the point A, and the Weight G to
                <lb/>
                <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
                <lb/>
              ing placed in C; It is manifeſt,
                <lb/>
              that transferring the Leaver unto
                <lb/>
              the points D A E, the Weight G
                <lb/>
              doth alter according to the Di­
                <lb/>
              ſtance B D, but cannot much far­
                <lb/>
              ther continue to raiſe it, ſo that
                <lb/>
              if it were required to elevate it yet
                <lb/>
              higher, it would be neceſſary to
                <lb/>
              ſtay it by ſome other Fulciment
                <lb/>
              in this Poſition, and to remit or return the Leaver to its former Po­
                <lb/>
              ſition B A C, and ſuſpending the Weight anew thereat, to raiſe it
                <lb/>
              once again to the like height B D; and in this manner repeating
                <lb/>
              the work, many times one ſhall come with an interrupted Motion
                <lb/>
              to effect the drawing up of the Weight, which for many reſpects
                <lb/>
              will not prove very beneficial: whereupon this difficulty hath bin
                <lb/>
              thought on, and remedied, by finding out a way how to unite to­
                <lb/>
              gether almoſt infinite Leavers, perpetuating the operation without
                <lb/>
              any interruption; and this hath been done by framing a Wheel
                <lb/>
              about the Center A, according to the Semidiameter A C, and an
                <lb/>
              Axis or Nave, about the ſame Center, of which let the Line A B
                <lb/>
              be the Semidiameter; and all this of very tough wood, or of other
                <lb/>
              ſtrong and ſolid matter, afterwards ſuſtaining the whole Machine
                <lb/>
              upon a Gudgeon or Pin of Iron planted in the point A, which
                <lb/>
              paſſeth quite thorow, where it is held faſt by two fixed Fulciments,
                <lb/>
              and the Rope D B G, at which the weight G hangeth, being be-laid
                <lb/>
              or wound about the Axis or Barrell, and applying another Rope
                <lb/>
              about the greater Wheel, at which let the other Grave I be hang­
                <lb/>
              ed: It is manifeſt, that the length C A having to the other A B
                <lb/>
              the ſelf-ſame proportion that the Weight G hath to the Weight I,
                <lb/>
              it may ſuſtain the Grave G, and with any little Moment more ſhall
                <lb/>
              move it: and becauſe the Axis turning round together with the
                <lb/>
              Wheel, the Ropes that ſuſtain the Weights are alwaies pendent and
                <lb/>
              contingent with the extream Circumferences of that Wheel and </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>