Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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roof, if we remove it far from perpendicularity, and then let it go,
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have you not obſerved that, it declining, will paſs freely, and well
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near as far to the other ſide of the perpendicular?</
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<
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>SAGR. </
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<
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>I have obſerved it very well, and find (eſpecially if the
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plummet be of any conſiderable weight) that it riſeth ſo little leſs
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than it deſcended, ſo that I have ſometimes thought, that the
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ſcending arch is equal to that deſcending, and thereupon made it
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a queſtion whether the vibrations might not perpetuate themſelves;
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and I believe that they might, if that it were poſſible to remove
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the impediment of the Air, which reſiſting penetration, doth ſome
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ſmall matter retard and impede the motion of the
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pendulum,
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though indeed that impediment is but ſmall: in favour of which
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opinion the great number of vibrations that are made before the
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moveable wholly ceaſeth to move, ſeems to plead.</
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The motion of
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grave
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penduli
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might be
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ted, impediments
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being removed.
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>The motion would not be perpetual,
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Sagredus,
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though the impediment of the Air were totally removed, becauſe
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there is another much more abſtruſe.</
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>SAGR. </
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<
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>And what is that? </
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>as for my part I can think of no
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other?</
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>SALV. </
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<
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>You will be pleaſed when you hear it, but I ſhall not
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tell it you till anon: in the mean time, let us proceed. </
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<
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>I have
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propoſed the obſervation of this
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Pendulum,
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to the intent, that you
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ſhould underſtand, that the
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impetus
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acquired in the deſcending
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arch, where the motion is natural, is of it ſelf able to drive the
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ſaid ball with a violent motion, as far on the other ſide in the like
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aſcending arch; if ſo, I ſay, of it ſelf, all external impediments
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being removed: I believe alſo that every one takes it for granted,
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that as in the deſcending arch the velocity all the way increaſeth,
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till it come to the loweſt point, or its perpendicularity; ſo from
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this point, by the other aſcending arch, it all the wav diminiſheth,
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untill it come to its extreme and higheſt point: and diminiſhing
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with the ſame proportions, where with it did before increaſe, ſo that
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the dgrees of the velocities in the points equidiſtant from the point
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of perpendicularity, are equal to each other. </
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<
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>Hence it ſeemeth
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to me (arguing with all due modeſty) that I might eaſily be induced
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to believe, that if the Terreſtrial Globe were bored thorow the
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centre, a Canon bullet deſcending through that Well, would
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quire by that time it came to the centre, ſuch an impulſe of
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city, that, it having paſſed beyond the centre, would ſpring it
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wards the other way, as great a ſpace, as that was wherewith it had
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deſcended, all the way beyond the centre diminiſhing the velocity
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with decreaſements like to the increaſements acquired in the
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ſcent: and the time ſpent in this ſecond motion of aſcent, I
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lieve, would be equal to the time of deſcent. </
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<
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>Now if the
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able by diminiſhing that its greateſt degree of velocity which it </
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