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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 137 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="068/01/052.jpg" pagenum="38"/>
            <p type="head">
              <s>AXIOME I.</s>
            </p>
            <p type="main">
              <s>Sections equal, and equally ſwift, diſcharge equal quantities
                <lb/>
              of Water in equal times.</s>
            </p>
            <p type="head">
              <s>AXIOME II.</s>
            </p>
            <p type="main">
              <s>Sections equally ſwift, and that diſcharge equal quantity of
                <lb/>
              Water, in equal time, ſhall be equal.</s>
            </p>
            <p type="head">
              <s>AXIOME III.</s>
            </p>
            <p type="main">
              <s>Sections equal, and that diſcharge equal quantities of Water
                <lb/>
              in equal times, ſhall be equally ſwift.</s>
            </p>
            <p type="head">
              <s>AXIOME IV.</s>
            </p>
            <p type="main">
              <s>When Sections are unequal, but equally ſwift, the quanti­
                <lb/>
              ty of the Water that paſſeth through the firſt Section,
                <lb/>
              ſhall have the ſame proportion to the quantity that paſ­
                <lb/>
              ſeth through the Second, that the firſt Section hath to the ſecond
                <lb/>
              Section. </s>
              <s>Which is manifeſt, becauſe the velocity being the
                <lb/>
              ſame, the difference of the Water that paſſeth ſhall be according
                <lb/>
              to the difference of the Sections.</s>
            </p>
            <p type="head">
              <s>AXIOME V.</s>
            </p>
            <p type="main">
              <s>If the Sections ſhall be equal, and of unequal velocity, the
                <lb/>
              quantity of the Water that paſſeth through the firſt, ſhall
                <lb/>
              have the ſame proportion to that which paſſeth through the
                <lb/>
              ſecond, that the velocity of the firſt Section, ſhall have to the
                <lb/>
              velocity of the ſecond Section. </s>
              <s>Which alſo is manifeſt, becauſe
                <lb/>
              the Sections being equal, the difference of the Water which
                <lb/>
              paſſeth, dependeth on the velocity.</s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PETITION.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>A Section of a River being given, we may ſuppoſe another
                <lb/>
              equal to the given, of different breadth, heigth, and ve­
                <lb/>
              locity.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum