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

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                <pb xlink:href="068/01/020.jpg" pagenum="6"/>
              particular accidents in this admirable matter, and all depending
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              on this ſole Propoſition, the ſenſe of which I have oft repeated,
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              that it might be well underſtood.</s>
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            <p type="head">
              <s>
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              COROLLARIE
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              I.</s>
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              <s>And firſt, we hence conclude, that the ſame Streams of a
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              Torrent, namely, thoſe ſtreams which carry equal quantity of
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              Water in equal times, make not the ſame depths or meaſures in
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              the River, in which they enter, unleſſe when in the entrance in­
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              to the River they acquire; or to ſay better, keep the ſame velo­
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              city; becauſe if the velocicities acquired in the River ſhall be
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              different, alſo the meaſures ſhall be diverſe; and conſequently
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              the depths, as is demonſtrated.</s>
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            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIE
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              II.</s>
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              <s>And becauſe ſucceſſively, as the River is more and more full,
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              it is conſtituted ordinarily in greater & greater velocity: hence
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              it is that the ſame ſtreams of the Torrent, that enter into the Ri­
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              ver, make leſſe and leſſe depths, as the River grows more and
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              more full; ſince that alſo the Waters of the Torrent being en­
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              tered into the River, go acquiring greater and greater velocities,
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              and therefore diminiſh in meaſure and height.</s>
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              <s>
                <emph type="italics"/>
              COROLLARIE
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              III.</s>
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              <s>We obſerve alſo, that while the main River is ſhallow, if there
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              fall but a gentle rain, it ſuddenly much increaſeth and riſeth;
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              but when the River is already ſwelled, though there fall again a­
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              nother new violent ſhower, yet it increaſeth not at the ſame rate
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              as before, proportionably to the rain which fell: which thing
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              we may affirm particularly to depend on this, that in the firſt
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              caſe, while the River is low, it is found alſo very ſlow, and there­
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              fore the little water which entereth into it, paſſeth and runs with
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              little velocity, and conſequently occupieth a great meaſure:
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              But when the River is once augmented, by new water being alſo
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              made more ſwift, it cauſeth the great Flood of water which fal­
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              leth, to bear a leſſe meaſure, and not to make ſuch a depth.</s>
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            <p type="head">
              <s>
                <emph type="italics"/>
              COROLLARIE
                <emph.end type="italics"/>
              IV.</s>
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            <p type="main">
              <s>From the things demonſtrated is manifeſt alſo, that whilſt a
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              Torrent entereth into a River, at the time of Ebbe, then the
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              Torrent moveth with ſuch a certain velocity, what ever it be, </s>
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