Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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vel extra, in vno, aut in duobus punctis contingat, & </
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<
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num axes, vel ſibi mutuò congruant, vel æquidiſtent, vtraque au-
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tem figura, altera immota, circa proprium axem conuertatur. </
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<
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lidum factum ab vna ſectionum nunquam ſecabit ſolidum ab altera
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genitum, ſed omnino ſe mutuò contingent, velin vnico puncto, ſi
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figurarum planarum contactus fuerit tantùm in puncto, ſiue axes
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congruant, ſiue æquidiſtent; </
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<
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">vel in duobus tantùm, ſi ad duo pun-
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cta ſe mutuò contingant, dum axes ſint paralleli; </
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<
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">vel denique ad
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integram circuli peripheriam à contactibus genitam, ſi ad duo
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puncta ſectiones ſimul occurrant, dum axes ſimul congruant.</
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">SInt duæ coni-ſectiones A B C, D E F, quarum axes ſint B G, E H, & </
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vel ſimul congruant, vt in prima, quinta, & </
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<
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">ſexta figura, vel inter ſe æ-
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quidiſtent, vt in ſecunda, tertia, & </
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<
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">quarta, atque ſe mutuò contingant, vel
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in vnico puncto I, vt in prima, ſecunda, & </
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L, vt in quarta, quinta, & </
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<
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nente alia D E F, circa axim B G conuerti; </
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<
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altera, ita vt ab ipſis ſolida conoidalia, ſphærica, aut ſphæroidalia deſcri-
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bantur. </
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<
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in quo plana ſe contingunt, ſe quoque mutuò contingere in prima, ſecun-
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da, & </
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<
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