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

Table of figures

< >
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/704.jpg" pagenum="12"/>
              ther account, there being no place left for doubting of ſo clear, and
                <lb/>
              neceſſary a Conſequence.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>You Divine
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              I was thinking if a Million of
                <lb/>
              Gold
                <emph type="italics"/>
              per annum,
                <emph.end type="italics"/>
              coming from
                <emph type="italics"/>
              Spaine,
                <emph.end type="italics"/>
              not being ſufficient to pay
                <lb/>
              the Army, whether it was neceſſary to make any other proviſion
                <lb/>
              than of Money to pay the Souldiers. </s>
              <s>But proceed,
                <emph type="italics"/>
              Salviatus,
                <emph.end type="italics"/>
              and
                <lb/>
              ſuppoſing that I admit of your Conſequence, ſhew us how to ſe­
                <lb/>
              parate the opperation of Vacuity from the other, that meaſuring
                <lb/>
              it we may ſee how it's inſufficient for the Effect of which we ſpeak.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Your Genius hath prompted you. </s>
              <s>Well, I will tell you
                <lb/>
              the way to part the Virtue of Vacuity from the reſt, and then how
                <lb/>
              to meaſure it. </s>
              <s>And to ſever it, we will take a continuate matter,
                <lb/>
                <arrow.to.target n="marg1011"/>
                <lb/>
              whoſe parts are deſtitute of all other Reſiſtance to Separation, ſave
                <lb/>
              only that of Vacuity, ſuch as Water at large hath been demon­
                <lb/>
              ſtrated to be in a certain Tractate of our
                <emph type="italics"/>
              Accademick.
                <emph.end type="italics"/>
              So that
                <lb/>
              when ever a Cylinder of Water is ſo diſpoſed, that being drawn
                <lb/>
              we find a Reſiſtance againſt the ſeparation of its parts, this muſt
                <lb/>
              be acknowledged to proceed from no other cauſe, but from re­
                <lb/>
              pugnance to Vacuity. </s>
              <s>But to make ſuch an experiment, I have
                <lb/>
              imagined a device, which with the help of a ſmall Diagram, may
                <lb/>
              be better expreſt than by my bare words. </s>
              <s>Let this Figure C A B D
                <lb/>
              be the Profile of a Cylinder of Metal, or of Glaſs, which muſt
                <lb/>
              be made hollow within, but turned exactly round; into whoſe
                <lb/>
              Concave muſt enter a Cylinder of Wood, exquiſitely fitted to
                <lb/>
              touch every where, whoſe Profile is noted by
                <lb/>
              E G H F, which Cylinder may be thruſt up­
                <lb/>
                <figure id="id.040.01.704.1.jpg" xlink:href="040/01/704/1.jpg" number="55"/>
                <lb/>
              wards, and downwards: and this I would
                <lb/>
              have bored in the middle, ſo that there may
                <lb/>
              a rod of Iron paſs thorow, hooked in the end
                <lb/>
              K, and the other end I, ſhall grow thicker in
                <lb/>
              faſhion of a Cone, or Top; and let the
                <lb/>
              hole made for the ſame thorow the Cylinder
                <lb/>
              of Wood be alſo cut hollow in the upper
                <lb/>
              part, like a Conical Superficies, and exactly
                <lb/>
              fitted to receive the Conick end I, of the
                <lb/>
              Iron I K, as oft as it is drawn down by the
                <lb/>
              part K. </s>
              <s>Then I put the Cylinder of Wood
                <lb/>
              E H into the Concave Cylinder A D, and
                <lb/>
              would not have it come to touch the upper­
                <lb/>
              moſt Superficies of the ſaid hollow Cylinder,
                <lb/>
              but that it ſtay two or three fingers breadth
                <lb/>
              from it: and I would have that ſpace filled with Water; which
                <lb/>
              ſhould be put therein, holding the Veſſel with the mouth C D up­
                <lb/>
              wards; and thereupon preſs down the Stopper E H, holding the
                <lb/>
              Conical part I ſomewhat diſtant from the hollow that was made </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>