Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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in F, G (nam Parabole A B C eſt _MINIMA_ Ellipſi F B G
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">ibidem.</
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ptibilium) è quorum altero F ducta ſit ordinata F H I communem axem
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huius.</
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in H, regulam verò ſecante
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in I; </
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mi conic.</
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s
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">Iam, in triangulo E B D cum ſit E B dupla B D, erit I H dupla H D,
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ſed eſt quoque L H dupla H B, quare vt L H ad H B, ita I H ad H D:
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">rectangulum ergo L H D æquale eſt rectangulo B H I, ſiue quadrato
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primæ 1.
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huius.</
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H, eſtque F H ipſi L D perpendicularis, quare angulus D F L rectus & </
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">vnde D F eſt _MINIMA_ ducibilium
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pt. Pappi.</
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dato puncto D ad peripheriam Parabolæ F B G. </
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">Conſimili ratione oſten-
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detur, quamlibet aliam inſcriptam P B R Ellipſis peripheriam B F G D
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ad nu. 1.</
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ſecare, vt in P, R, & </
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">iunctam D P, vel D R eſſe _MINIMAM_, &</
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">c. </
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re ſemita _MINIMARV M_ ex D ad huiuſmodi Parabolarum peripherias, eſt
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prædictæ Ellipſis perimeter. </
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MAM rectam lineam ducere.</
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cuius axis B D, rectum B E
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tranſuerfum verò B G, centrum
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H, & </
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ctum F. </
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bolæ peripheriam A B C _MINI-_
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_MAM_ rectam lineam ducere.</
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in prima figura fuerit in axe pro-
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ducto, extra Hyperbolen, ipſa
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F B erit _MINIMA_.</
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