Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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CHRIST. HUGENII AD XAVERIUM
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Proportionalitatibus & </
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& </
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<
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quod poteſt fieri per pauciora.</
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<
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<
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xml:space
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">Libros tuos retinui diutius, quod remittere eos nolebam quin
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ſimul opinionem meam tibi exponerem de nova iſta quam vendi-
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tant circuli Quadratura; </
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<
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ut ingentia quibus tractatur volumina evolverem. </
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<
s
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xml:space
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">Tandem ta-
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men nonnulla in iis delibavi, è quibus ſatis tutò mihi pronunciare
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poſſe videor, nihil ibi boni inveniri, quod non captu facile ſit;
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</
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<
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xml:space
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">unâque aut alter â paginâ explicari potuerit. </
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<
s
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xml:space
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">Cætera merum pa-
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ralogiſmum de quadratura circuli continent, multis propoſitio-
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nibus implicitum, quæque hoc tantum efficiunt, ut omnia eva-
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dant intricatior a. </
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<
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xml:space
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<
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ne conſtant, licet tractandi methodus obſcuriores reddiderit. </
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<
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ralogiſmum quærere inſtitui, initio facto ad paginam 1134. </
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<
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hoc ait: </
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">Nota autem eſt proportio ſegmenti L M N K ad ſegmen-
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tum E G H F; </
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">quod falſum eſt, pendet enim hujus demonſtratio
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à propoſitione 39, pag. </
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">ejuſdem libri, ubi manifeſtus er-
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ror occurrit, dum pluribus quantitatibus conjunctim applicatur,
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quod de ſingulis ſeorſim fuerat oſtenſum. </
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quatuor proportionalium ordinibus
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2, 4, 8, # 2, 8, 32,
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## &
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2, 6, 18, # 2, 10, 50,
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licet verum ſit rationem 8. </
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8. </
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</
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hoc eſt ad 82. </
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8 + 10. </
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mentatio; </
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bus, tantum majoribus ipſum diſſicultatibus involvunt, neque
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alicujus uſus videntur, ſiquidem fruſtra fit per plura quod poteſt
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fieri per pauciora.</
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<
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">Vides, Vir Egregie, neque Carteſium, veſtrum illud Hoc
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eſt juxta mentem autoris, agniturum fuiſſe, ſed potius, quod
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res eſt, dicturum, deſperatâ causâ hoc vobis effugium quæſi-
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tum, ut quadratura veſtra ad inſtar Protei cujuſdem aliâ </
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