Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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quadratum A B ad quadratum C D. </
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xml:space
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eandem habeat. </
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<
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xml:space
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">Porro cum celeritates in fine temporum A B,
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C D acquiſitæ ſint inter ſe ſicut ipſamet tempora; </
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rationem ſpatiorum E ad F eandem quoque eſſe quæ qua-
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dratorum temporum A B, C D, quibus transmiſſa ſunt.
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</
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<
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">SI grave celeritate ea quam in fine deſcenſus ac-
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quiſivit ſurſum tendere cœperit, fiet ut paribus
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temporis partibus, ſpatia quæ prius ſurſum, ea-
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dem deorſum transeat, adeoque ad eandem unde
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deſcenderat altitudinem aſcendat. </
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<
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bus temporis partibus æqualia amittat celeritatis
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momenta.</
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Fig. 1.</
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">Sunto enim ut in propoſitione 2, ſpatia quotlibet, æqua-
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libus temporis partibus cadendo è quiete peracta, quorum
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primum A B; </
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">ſecundum compoſitum ex B D, quod celeri-
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tate æquabili acquiſita per A B tranſeundum erat, & </
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ipſi A B æquali; </
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<
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">tertium compoſitum, ex E F, duplo
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ipſius B D, & </
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poſitum ex G H, triplo ipſius B D, & </
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A B æquali, atque eadem ratione porro creſcentia, ſi plu-
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ra fuerint. </
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<
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">Dico totidem æqualibus temporibus eadem ſpatia
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K G, G E, E B, B A, ſingula ſingulis peragenda eſſe à
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gravi ſurſum tendente, atque incipiente cum celeritate in
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fine deſcenſus K acquiſita.</
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">Brevitatis autem gratia celeritas quæque deſignetur de-
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inceps longitudine ſpatii quod grave motu æquabili, cum
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celeritate illa, atque temporis parte una, quales in deſcen-
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ſu conſideravimus, tranſmiſſurum eſſet.</
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<
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pervenerit, habet celeritatem G H auctam celeritate B </
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