Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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91 - 120
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241 - 270
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331 - 360
361 - 390
391 - 420
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451 - 480
481 - 510
511 - 540
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<
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>SVPPOSITION.</
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I ſuppoſe that the degrees of Velocity acquired by the
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ſame Moveable upon Planes of different inclinations
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are equal then, when the Elevations of the ſaid
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Planes are equal.
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>By the Elevation of an inclined Plane he meaneth the Per
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pendicular, which from the higher term of the ſaid Plane
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falleth upon the Horizontal Line produced along by the
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lower term of the ſaid Plane inclined: as for better underſtanding;
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the Line A B being parallel to the Horizon, upon which let the two
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Planes C A, and C D be inclined:
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the Perpendicular C B falling up
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on the Horizontal Line B A the
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Author calleth the Elevation
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of the Planes C A and C D;
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and ſuppoſeth that the degrees of
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Velocity of the ſame Moveable
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deſcending along the inclined Planes C A and C D, acqui
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red in the Terms A and D are equal, for that their Elevation is
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the ſame C B. </
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<
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>And ſo great alſo ought the degree of Velocity be
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underſtood to be which the ſame Moveable falling from the Point
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C would acquire in the term B.</
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>SAGR. </
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>The truth is, this Suppoſition hath in it ſo much of pro
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bability, that it deſerveth to be granted without diſpute, alwaies
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preſuppoſing that all accidental and extern Impediments are re
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moved, and that the Planes be very Solid and Terſe, and the Move
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able in Figure moſt perfectly Rotund, ſo that neither the Plane,
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nor the Moveable have any unevenneſs. </
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>All Contraſts and Im
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pediments, I ſay, being removed, the light of Nature dictates to
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me without any difficulty, that a Ball heavy and perfectly round
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deſcending by the Lines C A, C D, and C B would come to the
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terms A D, and B with equal
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Impetus's.
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<
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>SALV. </
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>You argue very probably; but over and above the pro
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bability, I will by an Experiment ſo increaſe the likelihood, as that
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it wants but little of being equal to a very neceſſary Demonſtrati
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on. </
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<
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>Imagine this leafe of Paper to be a Wall erect at Right-angles
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to the Horizon, and at a Nail, faſtned in the ſame, hang a Ball or
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Plummet of Lead, weighing an ounce or two, ſuſpended by the
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ſmall thread A B, two or three yards long, perpendicular to the
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Horizon: and on the Wall draw an Horizontal Line D C, cutting </
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