Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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P ſuperat triangulum A H L, erit igitur neceſſario figura
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<
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.</
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circumſcripta minor plano P. </
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parte A C, minus ſpatium à mobili transmitti quam ſit B C,
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quia hoc percurreretur eodem tempore A C cum celeritate
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æquabili C K, quam demum in fine temporis A C mobile
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adeptum eſt. </
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<
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ſpatium motu accelerato transmittetur quam ſit D E, quia
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hoc percurreretur eodem tempore C E, cum celeritate æ-
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quabili E O, quam demum in fine temporis C E mobile aſ-
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ſequitur. </
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<
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xml:space
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A H, minora ſpatia à mobili trajicientur quam ſunt rectan-
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gula figuræ circumſcriptæ, ipſis partibus adjacentia. </
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totum ſpatium motu accelerato peractum, minus erit ipſa fi-
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gura circumſcripta. </
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plano P; </
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<
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">ergo planum P minus quoque erit figura circum-
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ſcripta. </
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<
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">quod eſt abſurdum, cum figura hæc plano P minor
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oſtenſa fuerit. </
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xml:space
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">Ergo planum P non majus eſt triangulo A H L,
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ſed nec minus eſſe jam oſtenſum fuit. </
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xml:space
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">Ergo æquale ſit neceſ-
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ſe eſt; </
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">quod erat demonſtrandum.</
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<
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xml:space
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">Et hæc quidem omnia quæ hactenus demonſtrata ſunt,
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gravibus per plana inclinata deſcendentibus atque aſcenden-
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tibus æque ac perpendiculariter motis convenire ſciendum
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eſt: </
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">cum, quæ de effectu gravitatis poſita fuerunt, eadem
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ratione utrobique ſint admittenda.</
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<
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xml:space
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">Hinc vero non difficile jam erit demonſtrare propoſitionem
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ſequentem quam concedi ſibi, ut quodammodo per ſe ma-
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nifeſtam, Galileus poſtulavit. </
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<
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xml:space
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">nam demonſtratio illa quam
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poſtea adferre conatus eſt, quæque in poſteriori operum
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ejus editione extat, parum firma meo quidem judicio vide-
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tur. </
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inclinationibus deſcendendo acquiſitæ, æquales
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ſunt, ſi planorum elevationes fuerint æquales.</
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