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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="068/01/051.jpg" pagenum="37"/>
            <p type="head">
              <s>OF THE
                <lb/>
              MENSURATION
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              OF
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              Running Waters.</s>
            </p>
            <p type="head">
              <s>SUPPOSITION I.</s>
            </p>
            <p type="main">
              <s>Let it be ſuppoſed, that the banks of the Rivers of which
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              we ſpeak be erected perpendicular to the plane of the up­
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              per ſuperficies of the River.</s>
            </p>
            <p type="head">
              <s>SUPPOSITION II.</s>
            </p>
            <p type="main">
              <s>We ſuppoſe that the plane of the bottome of the River, of
                <lb/>
              which we ſpeak is at right angles with the banks.</s>
            </p>
            <p type="head">
              <s>SUPPOSITION III.</s>
            </p>
            <p type="main">
              <s>It is to be ſuppoſed, that we ſpeak of Rivers, when they are at
                <lb/>
              ebbe, in that ſtate of ſhallowneſſe, or at flowing in that ſtate
                <lb/>
              of deepneſſe, and not in their tranſition from the ebbe to the
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              flowing, or fr m the flowing to the ebbe.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              Declaration of Termes.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="head">
              <s>FIRST.</s>
            </p>
            <p type="main">
              <s>If a River ſhall be cut by a Plane at right angles to the ſurface
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              of the water of the River, and to the banks of the River,
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              that ſame dividing Plane we call the Section of the River; and
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              this Section, by the Suppoſitions above, ſhall be a right angled
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              Parallelogram.</s>
            </p>
            <p type="head">
              <s>SECOND.</s>
            </p>
            <p type="main">
              <s>We call thoſe Sections equally Swift, by which the water runs
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              with equal velocity; and more ſwift and leſs ſwift that
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              Section of another, by which the water runs with greater or leſſe
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              velocity.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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