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

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              <s>OF THE
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              MENSURATION
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              OF
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              Running Waters.</s>
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              <s>
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              Lib.
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              II.</s>
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              <s>Having, in the cloſe of my Treatiſe of the
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              Menſuration of Running Waters promiſed
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              to declare upon another occaſion other par­
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              ticulars more obſcure, and of very great
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              concern upon the ſame argumement: I now
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              do perform my promiſe on the occaſion
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              that I had the paſt year 1641. to propound
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              my thoughts touching the ſtate of the Lake
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              of
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              Venice,
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              a buſineſs certainly moſt important, as being the
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              concernment of that moſt noble and moſt admirable City; and
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              indeed of all
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              Italy,
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              yea of all
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              Europe, Aſia, & Africa
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              ; & one may
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              truly ſay of all the whole World. </s>
              <s>And being to proceed according
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              to the method neceſſary in Sciences, I wil propoſe, in the firſt place
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              certain Definitions of thoſe Terms whereof we are to make uſe
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              in our Diſcourſe: and then, laying down certain Principles we
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              will demonſtrate ſome Problemes and Theoremes neceſſary for
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              the underſtanding of thoſe things which we are to deliver; and
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              moreover, recounting ſundry caſes that have happened, we will
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              prove by practice, of what utility this contemplation of the
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              Meaſure of Running Waters is in the more important affairs both
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              Publique and Private.</s>
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              <s>DEFINITION I.</s>
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              <s>Two Rivers are ſaid to move with equal velocity, when in e­
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              qual times they paſſe ſpaces of equal length.</s>
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              <s>DEFINITION II.</s>
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              <s>Rivers are ſaid to move with like velocity, when their propor­
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              tional parts do move alike, that is, the upper parts alike to
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              the upper, and the lower to the lower; ſo that if the upper
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              part of one River ſhall be more ſwift than the upper part of ano­
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              ther; then alſo the lower part of the former ſhall be more ſwift
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              than the part correſpondent to it in the ſecond, proportionally.</s>
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