Castelli, Benedetto
,
Of the mensuration of running waters
,
1661
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duſtry truly heroicall and admirable, by Monſignor
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Maffei Bar
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herino,
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then Prefect for the Wayes, and now Pope. </
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>And being
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neceſſitated, that I might be able to walk in the Cave, and for
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other cauſes, I let down the Sluices of the ſaid Cave, at the mouth
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of the Lake: No ſooner were they ſtopt, but a great many of the
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people of the Towns and Villages coaſting upon the
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L
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ake
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flocking thither, began to make grievous complaints, that if thoſe
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Sluices were kept ſhut, not onely the Lake would want its due
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Vent, but alſo the parts adjacent to the Lake would be over
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flown to their very great detriment. </
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>And becauſe at firſt appea
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rance their motion ſeemed very reaſonable, I found my ſelf hard
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put to it, ſeeing no way to perſwade ſuch a multitude, that the
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prejudice which they pretended I ſhould do them by keeping
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the Sluices ſhut for two dayes, was abſolutely inſenſible; and that
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by keeping them open, the Lake did not ebb in the ſame time ſo
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much as the thickneſs of a ſheet of Paper: And therefore I was
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neceſſitated to make uſe of the authority I had, and ſo followed
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my buſineſs as cauſe required, without any regard to that Rab
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ble tumultuouſly aſſembled. </
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>Now when I am not working with
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Mattock or Spade, but with the Pen and Diſcourſe, I intend to
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demonſtrate clearly to thoſe that are capable of reaſon, and that
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have well underſtood the ground of this my Treatiſe, that the
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fear was altogether vain which thoſe people conceited. </
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<
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>And
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therefore I ſay, that the Emiſſary or Sluice of the Lake of
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Peru
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gia,
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ſtanding in the ſame mannner as at preſent, and the water
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paſſing thorow it with the ſame velocity as now; to examine
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how much the Lake may abate in two days ſpace, we ought to
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conſider, what proportion the ſuperficies of the whole Lake hath
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to the meaſure of the Section of the Emiſſary, and afterwards to
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infer, that the velocity of the water by the Emiſſary or Sluice,
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ſhall have the ſame proportion to the abatement of the Lake,
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and to prove thorowly and clearly this diſcourſe, I intend to
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demonſtrate the following Propoſition.</
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<
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>Suppoſe a Veſſel of any bigneſſe, and that it hath an Emiſſary
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or Cock, by which it diſchargeth its water. </
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>And look what pro
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portion the ſuperſicies of the
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veſſel hath to the meaſure of
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the ſection of the cock, ſuch pro
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portion ſhall the velocity of the
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Water in the Cock have to the
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abatement of the Lake Let the
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Veſſel be A B C D, H I L B, through which the Water runneth,
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the ſuperficies of the Water in the Veſſel A D, and the ſection
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of the Cock H L: and let the Water in the Veſſel
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be ſuppoſed to have falne in one determinate time from A to F. </
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