Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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JAC. GREG. RESP.
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lem eſſe impoſſibilem. </
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<
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xml:space
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">Sed omnium maxime admiror, Cla-
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riſſimum Virum non animadvertiſſe in 8. </
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<
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xml:space
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">definitione, Quan-
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titates C, D, E, compoſitionem ingredientes, ſemper eſſe
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eaſdem, nempe definitas & </
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<
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xml:space
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">invariabiles, ipſos autem termi-
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nos A, B, eſſe indefinitos & </
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<
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xml:space
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">variabiles, nimirum in F,
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G, & </
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<
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xml:space
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<
s
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xml:space
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">at quis eſt qui non videt Hugenii
<
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{b2 m/a2 + ba} non minus eſſe indefinitam, quam ſunt ipſi termini?
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</
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<
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xml:space
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">Deinde in Proœmio noſtræ Geometriæ Partis univerſalis,
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ſic dico. </
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<
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xml:space
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">Alii objiciunt contra prop. </
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<
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<
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a
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termino a
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+ a
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b & </
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<
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xml:space
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">temino ba
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+ b
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a, enervetur vis u-
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triuſque demonſtrationis. </
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<
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eſſe quantitatem
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indefinitam, & </
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<
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">alias quantitates indefinitas præter ipſos
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terminos convergentes compoſitionem non poſſe ingredi, quod
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analyſtam latere non poteſt: </
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<
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xml:space
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">Eodem modo reſpondeo Huge-
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nio {bbm/a2 + ab} eſſe quantitatem indefinitam, & </
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<
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xml:space
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">ideo compoſitio-
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nem non poſſe ingredi: </
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<
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xml:space
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">Si autem mihi objiciat, in ſeptima
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me credidiſſe, {mae - mbe/ad - bd} fuiſſe quantitatem indefinitam; </
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<
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">Re-
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ſpondeo, etiamſi diviſio per a-b à me ſatis inconſideratè ne-
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glecta ſit, apertè tamen conſtat, me hoc cognoviſſe, ex di-
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verſitate methodorum, quibus utor in ſeptima & </
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<
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quippe iſta particulari, in qua quantitatem illam quæro, & </
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hac generali, in qua illam ſuppono; </
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<
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">nulla enim alia ratio
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hujus diverſitatis excogitari poteſt; </
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<
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xml:space
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">quod etiam ex ipſis ſepti-
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ma & </
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<
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xml:space
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">decima eſt manifeſtum, cum appellem ſemper termi-
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nos convergentes quantitates indefinitas, hoc ipſo ſatis ſi-
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gnificans, nullas alias quantitates indefinitas calculo in-
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eſſe.</
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<
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xml:space
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">Semper credidi in rebus ſcientificis verba ita candidè eſſe
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explicanda (ſi modo poſſibile ſit) ut diſcurſus nullum inclu-
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dat abſurdum; </
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<
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xml:space
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">at Hugenius fatis percipit, diſcurſum nihil
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continere abſurdi, modò nulla quantitas indefinita præter i-
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pſos terminos compoſitionem ingrediatur; </
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<
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que omni ratione, me contrarium exiſtimaſſe; </
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<
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optarem Hugenium aſſignaſſe locum, ubi aſſero, illam </
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