Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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per M applicetur recta N M O, quæ applicatæ E G F æquidiſtabit.</
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<
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">Iam, in prima figura, cum ſit B D parallela ad I M, & </
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diametri ſegmentum B D æquale diametri ſegmento I M; </
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applicatæ diametris rectæ A D C, N M O, vnde portiones A B C, N I O
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æquales erunt.</
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">In reliquis verò, cum in triangulo D H M ſit B I parallela ad D M, erit
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H B ad B D, vt H I ad I M, ſuntque ex D, M applicatæ diametris rectæ
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A D C, N M O, quare portiones A B C, N I O æquales erunt. </
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<
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go in ſingulis figuris portio A B C demonſtrata ſit æqualis portioni N I O,
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& </
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">ſit portio N I O minor portione E I F, pars toto, ergo portio A B C erit
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quoque minor portione E I F, & </
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per D abſciſſa, minor demonſtrabitur. </
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quæſita. </
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<
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cata A D C _MINIMAM_ portionem abſcindes, habetur ſimul _MA_-
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_XIMA_ portio, quæ eſt reliqua A P C, vt per ſe ſatis conſtat.</
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