Castelli, Benedetto
,
Of the mensuration of running waters
,
1661
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ſign that there is no need of opening it; and if there be any oc
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caſion to open it, it is eaſily done. </
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<
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>As for the reſt your Lordſhip
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may pleaſe to keep account of all the particulars that occur, for
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the memory of things paſt is our Tutreſſe in thoſe that are to
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come. </
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>If occaſion ſhall offer, I intreat you to bow humbly in
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my name to His Highneſs the Grand Duke, and the moſt Serene
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Prince
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Leopold
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; and to attend the ſervice of Their Highneſſes, for
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you ſerve I rinces of extraordinary merit; And to whom I my
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ſelf am alſo exceedingly obliged. </
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>In the controverſies that ariſe
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reſpect the pious end of ſpeaking the Truth, for then every
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thing will ſucceed happily. </
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>I kiſs the hands of
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Padre Franceſco,
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of
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Sig. </
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and of your Lordſhip.</
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Rome, 14. March
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1642.</
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Your Honours
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most Obliged Servant
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<
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>D.
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BENEDETTO CASTELLI.
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<
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>Vpon this occaſion I will here inſert a Diſcourſe that I made
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upon the Draining and improvement of the
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Pontine Fens,
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for that I think that whatſoever may be done well and to pur
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poſe in this matter hath abſolute dependance on the perfect know
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ledge of that ſo important Propoſition, by me demonſtrated and
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explained in my Treatiſe of the
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Menſuration
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of
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Running Wa
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ters,
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namely, That the ſame water of a River doth continually
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change Meaſures, according as it altereth and changeth the ve
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locity of its courſe; ſo that the meaſure of the thickneſſe of a
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River in one Site, to the meaſure of the ſame River in another
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Site, hath the ſame proportion reciprocally that the velocity in
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this ſite hath to the velocity in the firſt ſite. </
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<
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>And this is a Truth
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ſo conſtant and unchangeable, that it altereth not in the leaſt
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point on any occurrences of the Waters that change: and
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being well underſtood, it openeth the way to the knowledge of
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ſundry advertiſements in theſe matters, which are all reſolved by
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this ſole Principle; and from it are derived very conſiderable be
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nefits; and without theſe it is impoſſible to do any thing with
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abſolute perfection</
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