Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CONTROVERSIA.
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fuerat. </
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<
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xml:space
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">Animadvertens itaque, Catelani principium ab Hu-
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genio non refutatum eſſe, & </
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<
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">ego illud intactum reliqui,
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ſufficere mihi ratus, ſi Hugenianum reſponſum ſimpliciter
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applicarem ad præſentem controverſiam, propoſito eum in
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finem exemplo penduli, e duobus æqualibus ponderibus
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compoſiti; </
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<
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xml:space
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">ubi innuere ſaltem volui, quod ſuppoſito pro
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totali ejus celeritate numero ternario (quicquid ſtatuatur de
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celeritatibus utriusque ſeparatim ſpectati ponderis, dummo-
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do eæ ſint in ratione 2 ad 1) quadrata {144/25} & </
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<
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xml:space
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">{9/25} ex mente Hu-
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genii ſignificare debeant non niſi rationem altitudinum, ad
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quas aſcendant ſeparata pondera, minime vero ipſas altitu-
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dines (quod ipſe quoque poſtmodum indigitavit Hugenius
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in ſecunda reſponſione, 8 Jun. </
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<
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<
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xml:space
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">) partim quoniam
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xml:space
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">Vide ſu-
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pra pag. 232.</
note
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leritates atque altitudines, utpote quantitates heterogeneæ,
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ſe mutuo menſurare non poſſunt; </
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<
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xml:space
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">partim etiam, quia ipſe
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Catelanus urgere ſaltem videbatur, altitudines eſſe propor-
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tionales quadratis, vel ſicut quadrata celeritatum; </
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<
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">tametſi in
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proxime ſequenti calculo quadrata iſta pro ipſis altitudini-
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bus adhibuerit. </
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Hugenii libro, animadvertebam, Propoſitionem controver-
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ſam ex priore Hypotheſium, quas Auctor initio ſtabiliverat,
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adeo evidenter inferri, ut neutra infringi poſſit, quin ſimul
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evertatur altera; </
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<
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xml:space
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">quocirca judicabam, ſi Catelano falſa fuiſ-
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ſet viſa propoſitio, eum potius ipſam adoriri debuiſſe Hy-
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potheſin, magnumque illud inibi contentum Principium Me-
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chanicum. </
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<
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">Verum enim vero cum hujus principii veritatem
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nullo jure in dubium revocare poſſem, atque ſimul etiam ſe-
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riem ratiocinii a Catelano ſatis confuſe propoſiti evolvere
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cœpiſſem, errorem ejus detexi illico, falſamque cognovi eſ-
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ſe, qua nitebatur, regulam, nimirum: </
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penduli compoſiti æqualem eſſe ſummæ celeritatum partium ejus
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ſeparatarum. </
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">Atque ut oſtendam, animadverſum mihi fuiſ-
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ſe errorem, priusquam Hugenii epiſtola de 8. </
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ſpexiſſet, afferam hic cauſam phyſicam, omiſſam ab Huge-
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nio, qua fit, ut penduli compoſiti celeritas perpetuo minor
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ſit celeritate partium ejus ſeparatarum: </
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