Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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ed, the water put therein would be more preſſed and crowded.</
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* And as is at
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large demonſtrated
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by that moſt excel
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lent and lonour
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able perſonage Mr.
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Botle
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in the indu
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ſtrious experiment
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of his Pneumatical
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Engine.</
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>And therefore, in our caſe, according to our principles we will
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ſay, that the water of that Stream paſseth all under the ſaid
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Bridge
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Quattro-Capi,
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for that being there moſt ſwift, it ought of
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conſequence to be leſs in meaſure.</
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>And here one may ſee, into how many errours a man may run
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through ignorance of a true and real Principle, which once known
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and well underſtood, takes away all miſts of doubting, and ea
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ſily reſolveth all difficulties.</
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COROLLARIE.
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XII.</
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>Through the ſame inadvertency of not regarding the variation
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of velocity in the ſame Current, therea re committed by Ingi
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neers and Learned men, errours of very great moment (and I
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could thereof produce examples, but for good reaſons I paſs
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them over in ſilence) when they think, and propoſe, by deriving
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new Channels from great Rivers, to diminiſh the meaſure of the
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water in the River, and to diminiſh it proportionally, according
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to the meaſure of the Water which they make to paſs through
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the Channel, as making
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v.g
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a Channel fifty foot broad, in which
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the derived water is to run waſte, ten foot deep, they think they
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have diminiſhed the meaſure of the Water in the River five hun
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dred feet, which thing doth not indeed ſo fall out; and the rea
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ſon is plain; for that the Chanel being derived, the reſt of the
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main River, diminiſheth in velocity, and therefore retains a grea
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ter meaſure than it had at firſt before the derivation of the Cha
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nel; and moreover, if the Chanel being derived, it ſhall not
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conſerve the ſame velocity which it had at firſt in the main Ri
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ver, but ſhall diminiſh it, it will be neceſſary, that it hath a grea
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ter meaſure than it had before in the River; and therefore
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to accompt aright, there ſhall not be ſo much water derived into
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the Channel, as ſhall diminiſh the River, according to the quanti
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ty of the water in the Channel, as is pretended.</
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COROLLARIE
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XIII.</
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>This ſame conſideration giveth me occaſion to diſcover a moſt
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ordinary errour, obſerved by me in the buſineſſe of the wa
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ter of
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Ferara,
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when I was in thoſe parts, in ſervice of the moſt
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Reverend and Illuſtrious Monfignor
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Corſini
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; the ſublime wit of
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whom hath been a very great help to me in theſe contemplations;
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its very true, I have been much perplexed, whether I ſhould
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commit this particular to paper, or paſſe it over in ſilence, for
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that I have ever doubted, that the opinion ſo common and </
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