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

Table of figures

< >
[Figure 181]
Page: 971
[Figure 182]
Page: 972
[Figure 183]
Page: 973
[Figure 184]
Page: 973
[Figure 185]
Page: 974
[Figure 186]
Page: 975
[Figure 187]
Page: 977
[Figure 188]
Page: 978
[Figure 189]
Page: 979
[Figure 190]
Page: 980
[Figure 191]
Page: 981
[Figure 192]
Page: 982
[Figure 193]
Page: 982
[Figure 194]
Page: 983
[Figure 195]
Page: 984
[Figure 196]
Page: 984
[Figure 197]
Page: 984
[Figure 198]
Page: 985
[Figure 199]
Page: 987
[Figure 200]
Page: 988
[Figure 201]
Page: 990
[Figure 202]
Page: 990
[Figure 203]
Page: 991
[Figure 204]
Page: 992
[Figure 205]
Page: 993
[Figure 206]
Page: 994
[Figure 207]
Page: 998
[Figure 208]
Page: 999
[Figure 209]
Page: 1006
[Figure 210]
Page: 1007
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/993.jpg" pagenum="299"/>
            <p type="head">
              <s>
                <emph type="italics"/>
              Of the SCREW of
                <emph.end type="italics"/>
              ARCHIMEDES
                <lb/>
                <emph type="italics"/>
              to draw Waier.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>I Do not think it ſit in this place to paſs over with Silence the
                <lb/>
              Invention of
                <emph type="italics"/>
              Archimedes
                <emph.end type="italics"/>
              to raiſe Wa er with the Screw, which
                <lb/>
              is not only marvellous, but miraculous: for we ſhall find that
                <lb/>
              the Water aſcendeth in the Screw continually deſcending; and in
                <lb/>
              a given Time, with a given Force doth raiſe an unſpeakable quan­
                <lb/>
              tity therof. </s>
              <s>But before we proceed any farther, let us declare the uſe
                <lb/>
              of the Screw in making Water to riſe: And in the enſuing Figure,
                <lb/>
              let us conſider the Line I L O P Q
                <lb/>
                <figure id="id.040.01.993.1.jpg" xlink:href="040/01/993/1.jpg" number="205"/>
                <lb/>
              R S H being wrapped or twined
                <lb/>
              about the Collumn M I K H,
                <lb/>
              which Line you are to ſuppoſe to
                <lb/>
              be a Chanel thorow which the
                <lb/>
              Water may run: If we ſhall put
                <lb/>
              the end I into the Water, making
                <lb/>
              the Screw to ſtand leaning, ſo as
                <lb/>
              the point L may be lower than
                <lb/>
              the firſt I, as the Diagram ſhew­
                <lb/>
              eth, and ſhall turn it round about
                <lb/>
              on the two Axes, T and V, the Water ſhall run thorow the Cha­
                <lb/>
              nel, till that in the end it ſhall diſcharge ſorth at the mouth H.
                <lb/>
              </s>
              <s>Now I ſay, that the Water, in its conveyance from the point I to
                <lb/>
              the point H, doth go all the way deſcending, although the point H
                <lb/>
              be higher than the point I. </s>
              <s>Which that it is ſo, we will declare
                <lb/>
              in this manner. </s>
              <s>We will deſcribe the Triangle A C B, which is
                <lb/>
              that of which the Screw H I is generated, in ſuch ſort that the
                <lb/>
              Chanel of the Screw is repreſented by the Line A C, whoſe
                <lb/>
              Aſcent and Elevation is determined by the Angle C A B; that is
                <lb/>
              to ſay, if ſo be, that that Angle ſhall be the third or fourth part of a
                <lb/>
              Right Angle, then the Elevation of the Chanel A C ſhall be ac­
                <lb/>
              cording to 1/3, or 1/4 of a Right Angle. </s>
              <s>And it is manifeſt; that the
                <lb/>
              Riſe of that ſame Chanel A C will be taken away debaſing the
                <lb/>
              point C as far as to B: for then the Chanel A C ſhall have no
                <lb/>
              Elevation. </s>
              <s>And debaſing the point C a little below B, the Water
                <lb/>
              will naturally run along the Chanel A C downwards from the
                <lb/>
              point A towards C. </s>
              <s>Let us therefore conclude, that the Angle A
                <lb/>
              being 1/3 of a Right Angle, the Chanel A C ſhall no longer have any
                <lb/>
              Riſe, debaſing it on the part
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              for 1/3 of a Right Angle.</s>
            </p>
            <p type="main">
              <s>Theſe things underſtood, let us infold the Triangle about the
                <lb/>
              Column, and let us make the Screw B A E F G, &c. </s>
              <s>which if it
                <lb/>
              ſhall be placed at Right Angles with the end B in the Water, turn­
                <lb/>
              ing it about, it ſhall not this way draw up the Water, the Chanel
                <lb/>
              about the Column being elevated, as may be ſeen by the part B A.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum