Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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P A, & </
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perpendicularis, ergo angulus Q A R rectus erit, pariterque is qui ei
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pt. Pappi.</
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inceps Q A F. </
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">Quare perpendicularis F A erit _MINIMA_ quæſita. </
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faciendum erat.</
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& </
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">SIt data Ellipſis A B C D, cuius centrum E, axis minor A C, maior B
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D, rectum latus B F, & </
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peripheriam A B C, _MAXIMAM_, & </
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<
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-axes E B, E D, erunt _MAXIMAE_, duo verò ſemi- axes minores E A,
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huius.</
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E C erunt _MINIMAE_.</
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B D erit _MAXIMA_ ducibilium ex B, &</
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circulus B H D I ex radio E B, hoc eſt circa diametrum B D, eius peri-
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pheria cadet tota extra peripheriam Ellipſis A B C D; </
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pr. huius.</
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_MAXIMA_ ad peripheriam circuli, eò ampliùs erit _MAXIMA_ ad inſcri-
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ptam Ellipſis peripheriam. </
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in punctum abeat.</
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ri, extra tamen Ellipſim: </
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ad peripheriam circuli B H D I, cum in ea ſit centrum, ergo ad periphe-
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riam inſcriptæ Ellipſis omnino _MAXIMA_ erit. </
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cum ipſa G B ſit extra Ellipſim perpendicularis ad rectum B F, quod ad
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B contingit Ellipſim.</
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