Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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">Semita MINIMARVM linearum, ducibilium à puncto com-
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munis axis infinitarum Parabolarum, per eundem verticem ſi-
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mul adſcriptarum, ad earundem ſectionum peripherias, eſt cir-
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cumferentia Ellipſis, cuius tranſuerſum latus ſit ipſum axis ſe-
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gmentum, inter aſſumptum punctum, & </
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<
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">rectum verò eiuſdem tranſuerſi ſit duplum.</
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<
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<
s
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">ESto Parabole A B C, cuius axis B D, in quo ſumptum ſit punctum D
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à vertice B diſtans per interuallum æquale dimidio ſui recti B E: </
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tet ipſam D B eſſe _MINIMAM_ ad peripheriam A B C; </
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xml:space
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">& </
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<
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">ſi aliæ
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ad nu. 1.</
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bolæ concipiantur per B adſcriptæ, quarum recta latera excedant B E,
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conſtat ipſas cadere extra, qualis eſt M B N, & </
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<
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">eandem D B (quæ
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roll. 19.
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pr. huius.</
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nino erit minor dimidio ipſius rectilateris) ad eius peripheriam eſſe _MI-_ _NIMAM_. </
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">At ſi Parabolæ fuerint ipſi A B C per B verticem inſcriptæ,
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ad nu. 1.</
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0207-01
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patet etiam ipſarum latera minora eſſe recto B E, ac ideo D E
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roll. 19.
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pr. huius.</
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libet ipſorum laterum dimidium excedere, & </
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ad harum Parabolarum peripherias pertingere, præter ad verticem B. </
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ergo quæratur, quàm delineent ſemitam harum _MINIMARV M_ extrema
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puncta. </
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">Deſcribatur circa ſegmentum axis B D, tanquam circa tranſuer-
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ſum latus, Ellipſis B F D G, cuius rectum ſit ipſum B E. </
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eſſe _MAXIMAM_ Parabolæ A B C per B verticem inſcriptibilem. </
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pr. huius.</
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huius peripheriam B F D G prædictarum _MINIMARV M_ eſſe tramitem.</
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<
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alia F B G, quæ Ellipſis peripheriam ad vtranq; </
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