Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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aſcendet, quod ſimili parte temporis deſcendendo quoque
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<
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<
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<
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<
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.</
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tranſierat. </
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xml:space
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">Hic vero rurſus celeritati tantum deceſſiſſe neceſſe
<
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eſt quantum una temporis parte cadendo deorſum acquiritur,
<
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hoc eſt celeritatem B D. </
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<
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xml:space
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">Itaque grave, ubi uſque ad B a-
<
lb
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ſcenderit, habet celeritatem ipſam B D reliquam, cum in E
<
lb
/>
habuerit celeritatem F E ipſius B D duplam. </
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>
<
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xml:space
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">Si ergo ex B
<
lb
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cum celeritate æquabili, quantam illic habet, ſurſum per-
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/>
geret, confecturum eſſet parte una temporis ſpatium æquale
<
lb
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ipſi D B, hoc eſt duplum A B. </
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>
<
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xml:space
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">Sed accedente gravitatis
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actione, diminuitur aſcenſus iſte ſpatio quod ipſi A B æqua-
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le ſit. </
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<
s
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xml:space
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">Igitur hac parte temporis aſcendet tantummodo per
<
lb
/>
ſpatium B A, quod etiam primo deſcenſus tempore trans-
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ierat. </
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<
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xml:space
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">Atque in fine quidem extremi temporis hujus neceſſa-
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rio grave in A puncto reperietur. </
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<
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xml:space
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">Sed dicetur forſan altius
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aſcendiſſe quam ad A, atque inde eo relapſum eſſe. </
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<
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xml:space
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">At hoc
<
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abſurdum eſſet, cum non poſſit, notu à gravitate profecto, al-
<
lb
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tius quam unde decidit aſcendere. </
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>
<
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xml:space
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">Porro quum celeritati quam
<
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in B habebat rurſus deceſſerit celeritas B D, patet jam gra-
<
lb
/>
vi in A conſtituto nullam celeritatem ſupereſſe, ac proinde
<
lb
/>
non altius excurſurum. </
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>
<
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xml:space
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">Itaque oſtenſum eſt ad eandem unde
<
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decidit altitudinem perveniſſe, & </
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>
<
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xml:id
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xml:space
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">ſingula ſpatia, quæ æqua-
<
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libus deſcenſus temporibus tranſmiſerat, eadem totidem a-
<
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/>
ſcenſus temporibus remenſum eſſe: </
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>
<
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xml:space
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<
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xml:space
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">æqualibus tempo-
<
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ribus æqualia ipſi deceſſiſſe celeritatis momenta apparuit. </
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>
<
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xml:space
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conſtat propoſitum.</
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</
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<
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xml:space
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">Quia vero in demonſtratione propoſitionis ſecundæ, ex
<
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/>
qua pendet præcedens, adſumptum fuit certam quandam eſ-
<
lb
/>
ſe proportionem ſpatiorum quæ continuis æqualibus tempo-
<
lb
/>
ribus à gravi cadente transeuntur, quæque eadem ſit, quæ-
<
lb
/>
cunque æqualia tempora accipiantur; </
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>
<
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xml:space
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">quod quidem & </
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>
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xml:space
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rei natura ita ſe habere neceſſe eſt, & </
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>
<
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xml:space
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">ſi negetur, fatendum
<
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fruſtra proportionem iſtorum ſpatiorum inveſtigari. </
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<
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xml:space
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">Tamen,
<
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quia propoſitum etiam absque hoc demonſtrari poteſt, Ga-
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/>
lilei methodum ſequendo, operæ pretium erit demonſtra-
<
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/>
tionem, ab illo minus perfecte traditam, hic accuratius
<
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/>
conſcribere. </
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<
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