Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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cum quadrato intermediæ partis DC; </
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<
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ctangulum ADB; </
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">& </
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partibus compræhenſum, eſt _MAXIMV M._ </
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rectangulum A D B, vna cum quadrato
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DC, & </
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<
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ctangulum AED vna cum quadrato EC,
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ergo rectangulum A D C cum quadrato
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DC, æquale erit rectangulo AEB, cum
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quadrato EC, eſt autem quadratum DC
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minus quadrato EC, cum ſit linea DC mi-
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nor EC, ex hypoteſi; </
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<
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ADC maius erit rectangulo AEB. </
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<
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">Si fuerint duæ quæcunque coni-ſectiones, non excepto circulo,
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eiuſdem, vel diuerſi nominis per diuerſos vertices ſimul adſcriptæ,
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quæ in eiuſdem communis ordinatim ductæ extremis punctis ſimul
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conueniant, è quorum altero eadem recta linea vtranque ſectionem
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contingat, ea coni-ſectio cuius vertex cadit infra verticem alterius
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erit alteri inſcripta, & </
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tingent.</
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dem, vel diuerſi nominis per diuerſos vertices B, D ſimul adſcriptæ,
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quarum communis diameter ſit BH, communiſq; </
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extremis A, C, ſectiones ſimul occurrant, & </
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