Galilei, Galileo, Mechanics, 1665

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    <archimedes>
      <text>
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          <chap>
            <pb xlink:href="070/01/029.jpg" pagenum="299"/>
            <p type="head">
              <s>
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              Of the SCREW of
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              ARCHIMEDES
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                <emph type="italics"/>
              to draw Waier.
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              </s>
            </p>
            <p type="main">
              <s>I Do not think it ſit in this place to paſs over with Silence the
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              Invention of
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              Archimedes
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              to raiſe Wa er with the Screw, which
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              is not only marvellous, but miraculous: for we ſhall find that
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              the Water aſcendeth in the Screw continually deſcending; and in
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              a given Time, with a given Force doth raiſe an unſpeakable quan­
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              tity therof. </s>
              <s>But before we proceed any farther, let us declare the uſe
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              of the Screw in making Water to riſe: And in the enſuing Figure,
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              let us conſider the Line I L O P Q
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                <figure id="id.070.01.029.1.jpg" xlink:href="070/01/029/1.jpg" number="26"/>
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              R S H being wrapped or twined
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              about the Collumn M I K H,
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              which Line you are to ſuppoſe to
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              be a Chanel thorow which the
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              Water may run: If we ſhall put
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              the end I into the Water, making
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              the Screw to ſtand leaning, ſo as
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              the point L may be lower than
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              the firſt I, as the Diagram ſhew­
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              eth, and ſhall turn it round about
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              on the two Axes, T and V, the Water ſhall run thorow the Cha­
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              nel, till that in the end it ſhall diſcharge ſorth at the mouth H.
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              </s>
              <s>Now I ſay, that the Water, in its conveyance from the point I to
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              the point H, doth go all the way deſcending, although the point H
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              be higher than the point I. </s>
              <s>Which that it is ſo, we will declare
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              in this manner. </s>
              <s>We will deſcribe the Triangle A C B, which is
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              that of which the Screw H I is generated, in ſuch ſort that the
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              Chanel of the Screw is repreſented by the Line A C, whoſe
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              Aſcent and Elevation is determined by the Angle C A B; that is
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              to ſay, if ſo be, that that Angle ſhall be the third or fourth part of a
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              Right Angle, then the Elevation of the Chanel A C ſhall be ac­
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              cording to 1/3, or 1/4 of a Right Angle. </s>
              <s>And it is manifeſt; that the
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              Riſe of that ſame Chanel A C will be taken away debaſing the
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              point C as far as to B: for then the Chanel A C ſhall have no
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              Elevation. </s>
              <s>And debaſing the point C a little below B, the Water
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              will naturally run along the Chanel A C downwards from the
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              point A towards C. </s>
              <s>Let us therefore conclude, that the Angle A
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              being 1/3 of a Right Angle, the Chanel A C ſhall no longer have any
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              Riſe, debaſing it on the part
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              C
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              for 1/3 of a Right Angle.</s>
            </p>
            <p type="main">
              <s>Theſe things underſtood, let us infold the Triangle about the
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              Column, and let us make the Screw B A E F G, &c. </s>
              <s>which if it
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              ſhall be placed at Right Angles with the end B in the Water, turn­
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              ing it about, it ſhall not this way draw up the Water, the Chanel
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              about the Column being elevated, as may be ſeen by the part B A.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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