Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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COROLLARIE
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XIV.
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*
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Arteſia.
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>In the Grand Rivers, which fall into the Sea, as here in
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Italy
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Po, Adige,
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^{*} and
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Arno,
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which are armed with Banks againſt their
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excreſcencies, its obſerved that far from the Sea, they need
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Banks of a notable height; which height goeth afterwards by
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degrees diminiſhing, the more it approacheth to the Sea-coaſts:
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in ſuch ſort, that the P
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o,
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diſtant from the Sea about fifty or ſixty
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miles at
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Ferara,
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ſhall have Banks that be above twenty feet
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higher than the ordinary Water marks; but ten or twelve miles
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from the Sea, the Banks are not twelve feet higher than the ſaid
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ordinary Water-marks, though the breadth of the River be the
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ſame, ſo that the excreſcence of the ſame Innundation happens
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to be far greater in meaſure remote from the Sea, then near; and
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yet it ſhould ſeem, that the ſame quantity of Water paſſing by
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every piace, the River ſhould need to have the ſame altitude of
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Banks in all places: But we by our Principles and fundamentals
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may be able to render the reaſon of that effect, and ſay; That
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that exceſſe of quantity of Water, above the ordinary Water,
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goeth alwaies acquiring greater velocity; the nearer it approach
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eth the Sea, and therefore decreaſeth in meaſure, and conſequenly
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in height. </
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>And this perhaps might have been the cauſe in great
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part, why the
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Tyber
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in the Innundation
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Anno
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1578. iſſued not
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forth of its Channel below
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Rome
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towards the Sea.</
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COROLLARIE
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XV.</
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>From the ſame Doctrine may be rendred a moſt manifeſt rea
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ſon why the falling Waters go leſſening in their deſcent, ſo
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that the ſame falling Water, meaſured at the beginning of
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its fall, is greater, and bigger, and afterwards by degrees leſſeneth
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in meaſure the more it is remote from the beginning of the fall.
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>Which dependeth on no other, than on the acquiſition, which
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it ſucceſſively makes of greater velocity; it being a moſt fami
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liar concluſion among Philoſophers, that grave bodies falling,
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the more they remove from the beginning of their motion, the
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more they acquire of ſwiftneſſe; and therefore the Water, as a
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grave body, falling, gradually velocitates, and therefore de
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creaſeth in meaſure, and leſſeneth.</
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COROLLARIE
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XVI.</
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>And on the contrary, the ſpirtings of a Fountain of Water,
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which ſpring on high, work a contrary effect; namely </
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