Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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vel per C F. </
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xml:space
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">Ergo in B duntaxat eam qua potuiſſet aſcen-
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<
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<
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.</
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dere per B F, hoc eſt, eandem quam acquireret deſcendendo
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per F B. </
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<
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re uſque in A. </
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<
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xml:space
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">Ergo illa velocitate quam acquirit grave de-
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ſcendendo per F B, poſſet aſcendere per B A, hoc eſt, al-
<
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tius quam unde diſceſſerat, quod fieri non poteſt.</
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<
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</
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<
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<
s
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xml:space
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">Eſt autem eadem prorſus demonſtratio quotcunque plana
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fuerint per quæ mobile aſcendat. </
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planorum multitudo, hoc eſt, ſi ſuperficies aliqua curva
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ponatur, per hanc quoque ad eam ex qua venit altitudinem
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mobile aſſurget.</
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<
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libet ſuperficiem deſcendat, ac rurſus impetu
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concepto per quamlibet aliam feratur ſurſum, ha-
<
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/>
bebit aſcendendo ac deſcendendo in punctis æque al-
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tis eandem ſemper velocitatem.</
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>
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</
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<
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<
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xml:space
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">Ut ſi mobile ex altitudine A B decidens, motum deinde
<
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<
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Fig. 3.</
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continuet per ſuperficiem B C D, in qua punctum C ſit
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pari altitudine atque in A B eſt punctum E. </
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<
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dem velocitatem ineſſe mobili atque in E fuerat.</
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<
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<
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xml:space
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">Quum enim in C ea velocitas ſuperſit mobili qua porro
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aſcendat usque ad D punctum, æque altum ac A : </
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præced.</
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que & </
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>
<
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xml:space
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">ex deſcenſu per A E velocitatem eam acquirat qua,
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converſo motu, aſcenſurum ſit per C D ; </
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>
<
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xml:space
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">Patet cum
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xml:space
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">Prop.
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præced.</
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venit ad C aſcendendo, eandem ipſum habere velocitatem,
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quam habebat in E deſcendendo; </
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<
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dum.</
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<
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dat, ac deinde converſo motu ſurſum per </
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