Galilei, Galileo
,
Mechanics
,
1665
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<
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>SUPPOSITIONS.</
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>Any Grave Body, (as to what belongeth to it's proper ver
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tue) moveth downwards, ſo that the Center of it's Gravity
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never ſtrayeth out of that Right Line which is produced
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from the ſaid Center placed in the firſt Term of the Motion unto
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the univerſal Center of Grave Bodies. </
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>Which is a Suppoſition
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very manifeſt, becauſe that ſingle Center being obliged to endea
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vour to unite with the common Center, it's neceſſary, unleſſe ſome
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impediment intervene, that it go ſeeking it by the ſhorteſt Line,
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which is the Right alone: And from hence may we ſecondarily
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ſuppoſe</
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>Every Grave Body putteth the greateſt ſtreſſe, and weigheth
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moſt on the Center of it's Gravity, and to it, as to its proper ſeat,
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all
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Impetus,
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all Ponderoſity, and, in ſome, all Moment hath re
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courſe.</
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>We laſtly ſuppoſe the Center of the Gravity of two Bodies e
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qually Grave to be in the midſt of that Right Line which conjoyns
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the ſaid two Centers; or that two equall weights, ſuſpended in
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equall diſtence, ſhall have the point of
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Equilibrium
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in the common
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Center, or meeting of thoſe equal Diſtances. </
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<
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>As for Example,
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the Diſtance C E being equall to the Diſtance E D, and there be
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ing by them two equall weights ſuſpended, A and B, we ſuppoſe
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the point of
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Equilibrium
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to be in the point E, there being no
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greater reaſon for inclining to
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one, then to the other part. </
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<
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>But
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here is to be noted, that the Di
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ſtances ought to be meaſured
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with Perpendicular Lines, which
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from the point of Suſpenſion E,
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fall on the Right Lines, that from
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the Center of the Gravity of the
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Weights A and B, are drawn to
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the common Center of things
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Grave; and therefore if the Diſtance E D were tranſported into
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E F, the weight B would not counterpoiſe the weight A, becauſe
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drawing from the Centers of Gravity two Right Lines to the Cen
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ter of the Earth, we ſhall ſee that which cometh from the Center
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of the Weight I, to be nearer to the Center E, then the other
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produced from the Center of the weight A. </
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<
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>Therefore our ſaying
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that equal Weights are ſuſpended by [or at] equal Diſtances, is
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to be underſtood to be meant when as the Right Lines that go from
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their Centers & to ſeek out the common Center of Gravity, ſhall be
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equidiſta nt from that Right Line, which is produced from the ſaid </
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