Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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HUGENII
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OBSERVATIONES
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IN LIBRUM
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JACOBI GREGORII,
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DE VERA CIRCULI ET HYPERBOLÆ
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QUADRATURA.</
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Hugenius rogatus à Societate quæ Pariſiis ſuos
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habebat conventus (1668) in Bibliotheca Regia, ut
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vellet hunc librum examinare, ſocietati retu-
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lit ſe multos errores obſervaſſe in demonſtratio-
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ne, qua Auctor contendit impoſſibilitatem quadra-
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turæ Circuli & </
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<
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. </
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<
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">Propoſitione, in qua auctor contendit Circuli
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quadraturam analytice impoſſibilem demonſtrare, hæc ha-
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bentur Si terminatio magnitudinum propoſitarum analyti-
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ce componatur a primis terminis a
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+ a
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b & </
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+ b
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, com-
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ponetur etiam analyticê & </
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<
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">eodem omnino modo a ſecundis
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terminis ba
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+ bba & </
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<
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a. </
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<
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">ſed licet id verum ſit quando
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terminatio inventa eſt per Methodum, quam indicat, non
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poteſt generalis inde deduci concluſio. </
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<
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">niſi ponamus, non
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poſſe inveniri, niſi per ejus Methodum, terminationem ſeriei
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Magnitudinum, quas appellat convergentes, vel ſi aliâ me-
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thodo inveniatur illam etiam per ſuam methodum inveniri
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poſſe quod non demonſtravit.</
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<
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