Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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& </
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">perpendicularis B C minor eſt perpendiculari ex B ſuper contingentem
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ad F, cum ea B C ſit ipſarum perpendicularium _MINIMA_, ergo, & </
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num. 2.</
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_XIMA_ Parabole per G ducta iuxta Coni latus B C, erit minor _MAXIMA_
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Parabola genita iuxta latus B F, & </
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<
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<
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">quapropter ipſa _MAXI_-
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_MA_ Parabole, ducta per G iuxta _MINIMVM_ Coni latus B C, in his caſi-
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bus, erit _MAXIMARVM MINIMA._ </
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<
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">Quod ſecundò erat, &</
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">Sitandem veſtigium verticis H ceciderit extra baſim Coni, vti apparet
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in hac ſigura. </
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">Ducta contingente H I, atque iuncta B I, ſi radius D I biſa-
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riam ſecetur in puncto L, per quod iuxta latus B I ducatur planum Para-
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bolen efficiens, quæ erit _MAXIMA._ </
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<
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">Dico hanc eſſe _MAXIMARVM MI_-
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_NIMAM._</
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">Quoniam _MAXIMA_ per L iuxta latus B I ad _MAXIMAM_ iuxta aliud
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quodcunque latus B F, eſt vt altitudo ad altitudinem, cum ipſæ
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mi h.</
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ſint æqualium baſium, ſed altitudo ad altitudinem eſt vt
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">Coroll.
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96. h.</
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ex B ſuper contingentem ad I, quæ eſt ipſa B H Coni altitudo (quæ ad
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omnes rectas in plano baſis Coni ad punctum H pertingentes eſt
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">ex def. 3.
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vnd. Ele.</
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dicularis) ad perpendicularem ex B ſuper contingentem ad F, & </
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dicularis B H minor eſt perpendiculari ex B ſuper contingentem ad F,
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cum ipſa ſit huiuſmodi perpendicularium _MINIMA,_ quare, & </
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">98. h. ad
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num. 3.</
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Parabole iuxta latus B I, iungens Coni verticem, & </
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">contactum rectæ
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lineæ H I, quæ à veſtigio H ad peripheriam baſis ducitur, mi-
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nor erit _MAXIMA_ Parabola iuxta latus B F, & </
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">hoc ſem-
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per, vnde ipſa _MAXIMA_ Parabole per L iuxta la-
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tus B I, erit, in hoc caſu, _MAXIMARVM MI_-
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_NIMA._ </
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">Quod vltimò faciendum erat,
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quodque eſto DIVINATIO-
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NIS, ac</
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FINIS.</
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