Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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punctis G, H, in Ellipſis peripheria vbi-
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cunque inter ſemi-axes aſſumptis, ſint
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contingentibus perpẽdiculares GI, HL.
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uallis verò EA, LH, IG, FB, circuli de-
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ſcribantur, ipſos Ellipſi ABCD inſcri-
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ptos eſſe, ac _MAXIMOS_ ad
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1. Coroll.
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20. h.</
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A, H, G, B inſcriptibilium. </
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inter hos _MAXIMOS, MAXIMV M_
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eſſe qui ad A, _MINIMVM_ verò, qui
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ad B inſcribitur. </
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<
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">Aliorum autem inſcri-
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ptum ad punctum H, quod à vertice
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B maioris axis magis remouetur, maio-
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rem eſſe inſcripto ad punctum G, quod
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ipſi vertici propius eſt.</
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">Etenim quelibet perpendicularis LH,
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IG inter ſemi-axes, minor eſt ſemi- axe maiori EA, ſed maior ſemper
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mi- recto F B: </
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_MVS_ inſcriptibilium: </
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">quapropter circulus
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L A, erit maior circulo ex I G, Quod probandum erat.</
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riæ circumſcriptorum, MINIMVS eſt, qui ad verticem maio-
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ris axis circumſcribitur. </
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minoris. </
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">Aliorum autem is, cuius contactus à vertice minoris
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axis magis diſtat, minor eſt.</
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& </
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BD, & </
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">ex punctis G, H, vbi-
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cunque in Ellipſis peripheria
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inter ſemi- axes aſſumptis, ſint
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contingentibus perpendicula-
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res GI, H L. </
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ex centris E, L, I, F, cum in-
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teruallis EA, LH, I G, F B de-
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ſcribantur circuli, ipſos Ellipſi
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ABCD circumſcriptos eſſe, & </
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_MINIMOS_ ad puncta A,
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1. Coroll.
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20. h.</
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G, B, circumſcriptibilium. </
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co tamen inter hos _MINI-_
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_MOS, MINIMVM_ eſſe, qui
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ad A; </
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