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>
            <pb xlink:href="070/01/013.jpg" pagenum="283"/>
            <p type="main">
              <s>From the Inſtrument laſt deſcribed, the other Inſtrument which
                <lb/>
              we call the Crane is not much different, as to form, nay, differeth
                <lb/>
              nothing, ſave in the way of applying or employing it: For that the
                <lb/>
              Capſten moveth and is conſtituted perpendicular to the Horizon,
                <lb/>
              and the Crane worketh with its Moment parallel to the ſame Ho­
                <lb/>
                <figure id="id.070.01.013.1.jpg" xlink:href="070/01/013/1.jpg" number="8"/>
                <lb/>
              rizon. </s>
              <s>For if upon the Circle D A E we ſuppoſe an Axis to be
                <lb/>
              placed Column-wiſe, turning about the Center B, and about which
                <lb/>
              the Rope D H, faſtened to the Weight that is to be drawn, is be­
                <lb/>
              laid, and if the Bar F E B D be let into the ſaid Axis [
                <emph type="italics"/>
              by the Mor­
                <lb/>
              tace B
                <emph.end type="italics"/>
              ] and the Force of a Man, of an Horſe, or of ſome other
                <lb/>
              Animal apt to draw, be applyed at its end F, which moving round,
                <lb/>
              paſſeth along the Circumference F G C, the Crane ſhall be framed
                <lb/>
              and finiſhed, ſo that by carrying round the Bar F B D, the Barrell
                <lb/>
              or Axis E A D ſhall turn about, and the Rope which is twined a­
                <lb/>
              bout it, ſhall conſtrain the Weight H to go forward: And becauſe
                <lb/>
              the point of the Fulciment about which the Motion is made, is the
                <lb/>
              point B, and the Moment keeps at a Diſtance from it according to
                <lb/>
              the Line B F, and the Reſiſtor at the Diſtance B D, the Leaver
                <lb/>
              F B D is formed, by vertue of which the Force acquireth Moment
                <lb/>
              equall to the Reſiſtance, if ſo be, that it be in proportion to it, as
                <lb/>
              the Line B D is to B F, that is, as the Semidiameter of the Axis to
                <lb/>
              the Semidiameter of the Circle, along whoſe Circumference the
                <lb/>
              Force moveth. </s>
              <s>And both in this, and in the other Inſtrument we
                <lb/>
              are to obſerve that which hath been frequently mentioned, that is,
                <lb/>
              That the benefit which is derived from theſe Machines, is not that
                <lb/>
              which the generality of the Vulgar promiſe themſelves from the
                <lb/>
              Mechanicks; namely, that being too hard for Nature, its poſſible </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>