Castelli, Benedetto, Of the mensuration of running waters, 1661

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            <p type="main">
              <s>
                <pb xlink:href="068/01/067.jpg" pagenum="53"/>
              ſquare and the greater is 23. Therefore the diverted water, is
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              to the whole water, as 23. to 144: which is well near as 1 to
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              6 6/23: and that is the proportion that the quantity of the water
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              which runneth through the Chanellet ſhall have, to all the water
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              that runneth thorow the great Chanel. </s>
              <s>Now if we ſhould finde
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              by the Rule mentioned above in the firſt Propoſition, that the
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              quantity of the water that runneth through the Chanellet, is
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                <emph type="italics"/>
              v. </s>
              <s>g.
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              an hundred Barrels, in the ſpace of 15 ſecond minutes of
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              an hour, it is manifeſt, that the water which runneth through the
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              great Chanel in the ſaid time of 35 min. </s>
              <s>ſec. </s>
              <s>ſhall be about 600
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              Barrels.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              The ſame operation performed another way.
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              </s>
            </p>
            <p type="main">
              <s>And becauſe very often in applying the Theory to Practice
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              it happeneth, that all the neceſſary particulars in the The­
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              ory cannot ſo eaſily be put in execution; therefore we will
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              here add another way of performing the ſame Problem, if it ſhould
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              chance to happen that the Chanellet could not commodiouſly be
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              diverted from the great Chanel, but that it were eaſier for the
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              water of another ſmaller Chanel to be brought into the greater
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              Chanel; which water of the ſmaller Chanel might be eaſily mea­
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              ſured, as hath been ſhewen in the firſt Probleme; or in caſe that
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              there did fall into a greater Chanel, a leſſer Chanel that might
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              be diverted and meaſured. </s>
              <s>Therefore I ſay in the firſt caſe, If
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              we would meaſure the quantity of the water that runneth in a
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              certain time thorow the greater Chanel, into which another leſſer
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              Chanel that is meaſurable may be brought, we muſt firſt exactly
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              meaſure the Chanellet, and then obſerve the quick height of the
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              greater Chanel, before the introduction of the leſſer; and having
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              brought in the ſaid Chanellet, we muſt agnin find the propor­
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              tion that the water of the Chanellet hath to all the water of the
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              great Ghanel; for theſe terms of the proportion being known, as
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              alſo the quantity of the water of the Chanellet, we ſhall alſo
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              come to know the quantity of the water that runneth thorow
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              the great Chanel. </s>
              <s>It is likewiſe manifeſt, that we ſhall obtain
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              our intent, if the caſe were that there entered into the great
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              Chanel, another leſſer Chanel that was meaſurable, and that
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              might be diverted.</s>
            </p>
            <p type="head">
              <s>CONSIDERATION.</s>
            </p>
            <p type="main">
              <s>It would be neceſſary to make uſe of this Doctrine in the di­
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              ſtribution of the waters that are imploy'd to overflow the fields,
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              as is uſed in the
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              Breſciau, Cremoneſe, Bergamaſe, Lodigian, Mila-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
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