Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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eodem modo, quo analyticè componitur eadem quantitas ex
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terminis ba
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+ b
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a, 2b
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a; </
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plicando & </
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+ a
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b, ab
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& </
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ex factis extrahendo, eadem fieret quantitas ac ſi eodem mo-
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do adderentur, ſubducerentur, multiplicarentur & </
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rentur termini ba
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+ b
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a, 2b
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a, & </
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extraherentur, ſed poſterius fieri non poteſt, ergo nec prius;
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ſubductione, multiplicatione, diviſione & </
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ne terminorum a
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b, ab
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, quæ fieret ex eadem ad-
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ditione, ſubductione, multiplicatione, diviſione & </
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extractione terminorum ba
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quales quantitates terminis a
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+ a
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b, ba
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a, vel ab illis
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ſive ipſorum factis æquales quantitates ſubducendo, vel il-
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los ſive ipſorum factos æqualibus quantitatibus multiplican-
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do vel dividendo, vel denique illos ſive ipſorum factos eo-
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dem modo in ſe multiplicando, vel ex iisdem easdem radi-
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ces extrahendo, hasce analyticas operationes aliquo modo
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mutando, reiterando vel utrumque vel neutrum faciendo,
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fieri poſſent duo ultima producta, nempe unum à termino
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ab
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ctum ex termino a
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b cum ultimo producto ex termino
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ab
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+ b
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additum, ſubductum, multiplicatum, diviſum, & </
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ex facto radice aliqua extracta (haſce analyticas operationes
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aliquo modo mutando, reiterando vel utrumque vel neu-
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trum faciendo) eandem efficiat quantitatem quam efficit ul-
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timum productum ex termino ba
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+ b
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a cum ultimo produ-
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cto ex termino 2b
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a eodem omnino modo additum, ſubdu-
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dice extracta, haſce analyticas operationes eodem omnino
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modo mutando, reiterando vel utrumque vel neutrum fa-
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bo, in termino a
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b reperitur poteſtas ipſius a nempe
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, quæ eſt altior ulla poteſtate ejusdem a in termino
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ba
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+ a
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b, ba
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+ b
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a, </
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