Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CONTROVERSIA.
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in quodam magni ſui Curſus Mathematici loco, memorando
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experimentum cum Pendulo compoſito ex duobus ponderi-
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bus inſtitutum, in quo computans rationem non habuit
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(ut debebat) ponderis baculi, cui pondera erant applicata,
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immerito regulas noſtras de determinando centro gravitatis
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culpare, quaſi non convenirent cum iis quæ ille revera obſer-
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varat.</
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<
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Hugenii.</
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<
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xml:space
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quentiam, ut hanc aliter intelligat, quam ego in ſcri-
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ptis meis. </
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>
<
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xml:space
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">Prorſus deberem oblitus eſſe Arithmetices, ſi ab-
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ſolute negarem, ut me facere contendit, quod 4 magnitudi-
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nes inæquales poſſint efficere 2 ſummas æquales, quum nil a-
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liud concludo in ſcriptis, præterquam quod propoſitio Hu-
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genii vera eſſe nequeat, niſi pars ſit æqualis toti. </
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<
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xml:space
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">Ut hoc
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melius pateat, debemus hic proferre propoſitionem illam ge-
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neralem propriis terminis.</
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<
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xml:space
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">Si Pendulum e pluribus ponderibus compoſitum, at que e quie-
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te demiſſum, partem quamcunque Oſcillationis integræ confece-
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rit, atque inde porro intelligantur pondera ejus ſingula, reli-
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cto communi vinculo, celeritates acquiſitas ſurſum convertere,
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ac quousque poſſunt aſcendere; </
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">hoc facto, centrum gravitatis
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ex omnibus compoſitæ, ad eandem altitudinem reverſum erit,
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quam ante inceptam Oſcillationem obtinebat.</
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<
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xml:space
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">Cum hæc propoſitio terminis generaliſſimis concepta ſit,
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ita ut numerus ponderum, ſitus eorum, duratio Vibrationis,
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ipſam non mutent, pono, Exempli cauſâ, Pendulum compoſi-
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tum e ponderibus duo bus æqualibus, & </
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<
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xml:space
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buerit a ſe invicem diſtantiam junctis. </
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titudines, quæ ſunt proportionales quadratis velocitatum in
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duobus Pendulis ſimplicibus, eſſe inter ſe ut velocitates </
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