Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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<
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<
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C. F.</
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. I.</
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inter ſe rationem habeant datam.</
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<
s
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Sphæra & </
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s
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">Compoſitionem autem pro-
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miſſam non videtur explicuiſſe, niſi ipſius eſt il-
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la quam Eutocius in vetuſto quodam libro reper-
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tam commentariis ſuis inferuit. </
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<
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xml:space
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les & </
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<
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">hyperboles interſectione perficitur, uti & </
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<
s
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echoid-s2002
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">illa cujus
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Dionyſidorus autor eſt, quæ tamen à priori differt. </
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<
s
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echoid-s2003
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has tertiam quoque adfert Eutocius è Dioclis de Pyriis li-
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bro, quæ hyperboles & </
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<
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">ellipſis deſcriptionem requirit. </
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">No-
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ſtra autem quam hic conſcribemus anguli triſectionem poſtu-
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lat; </
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<
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">Et hæc conſtruendi ratio in ſolidis problematibus quo-
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dammodo ſimpliciſſima videtur, atque ad uſum maxime ac-
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commodata.</
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<
s
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Fig. 1.</
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Et data ſit proportio lineæ S ad T majoris ad minorem.
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</
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<
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ſitque maximus in ea circulus C B A D. </
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utrimque diameter C A, & </
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<
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">ponatur ſemidiametro æqua-
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lis utraque harum C H, A E. </
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<
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xml:space
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">Et dividatur tota H E in
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Q, ut ſit E Q ad Q H ſicut S ad T. </
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<
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xml:space
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">Ipſi autem M Q æqua-
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lis ponatur ad circumferentiam recta A R. </
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<
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tiam partem ſubtendit arcus A R, æqualis ſumatur M N.</
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