Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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Atque ita ſpatia quotlibet deinceps conſiderata, quæ æqua-
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libus temporibus peracta fuerint, æquali exceſſu, qui ipſi
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B D æqualis ſit, creſcere manifeſtum eſt; </
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<
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velocitates per æqualia tempora æqualiter augeri.</
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">SPatium peractum certo tempore à gravi, è quie-
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te caſum inchoante, dimidium eſt ejus ſpatii
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quod pari tempore transiret motu æquabili, cum
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velocitate quam acquiſivit ultimo caſus momento.</
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<
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">Ponantur quæ in propoſitione præcedenti, ubi quidem
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Fig. 1.</
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A B erat ſpatium certo tempore, à gravi cadente ex A, per-
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actum. </
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">B D vero ſpatium quod pari tempore transiri intel-
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ligebatur celeritate æquabili, quanta acquiſita erat in fine
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primi temporis, ſeu in fine ſpatii A B. </
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<
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">Dico itaque ſpatium
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B D duplum eſſe ad A B.</
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<
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">Quum enim ſpatia primis quatuor æqualibus temporibus
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à cadente transmiſſa ſint A B, B E, E G, G H, quorum
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inter ſe certa quædam eſt proportio: </
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pla tempora ſumamus, ut nempe pro primo tempore jam
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accipiantur duo illa quibus ſpatia A B, B E, peracta fue-
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re; </
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">pro ſecundo vero tempore duo reliqua quibus peracta
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fuere ſpatia E G, G K, oportet jam ſpatia A E, E K,
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quæ ſunt æqualibus temporibus à quiete peracta, inter ſe
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eſſe ſicut ſpatia A B, B E, quæ æqualibus item tempori-
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bus à quiete percurrebantur.</
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<
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">Quum igitur ſit ut A B ad B E, ita A E ad E K; </
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convertendo, ut E B ſive D A ad A B ita K E ad E A:
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</
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<
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">erit quoque, dividendo, D B ad B A ut exceſſus K E ſu-
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pra E A ad E A. </
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">Quum ſit autem, ex oſtenſis propoſitione
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præcedenti, K E æqualis tum duplæ A B, tum quintuplæ
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B D: </
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apparet dictum exceſſum K E ſupra E A æquari </
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