Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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<
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eſt ea illius portionis, cuius diameter ſit ſegmentum maioris axis, reſpectiuè
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ad Ellipſim: </
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<
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<
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xml:space
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_MINIMA_ eſt baſium, aliarum æqualium portionum; </
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<
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xml:space
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">in Ellipſi baſis V
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portionis V L T circa minorem, _MAXIMA_ eſt baſium, reliquarum æqualium
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portionum, vel ipſæ ſimul ſint ſemi-Ellipſi minores, vel ſimul maiores, &</
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_MAXIMA_ eſt ea illius portionis, cuius diameter ſit ſegmentum maioris axis
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reſpectiuè ad Ellipſim, & </
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<
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<
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">nempe B D, quæ eſt alti-
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tudo portionis A B C, circa maiorem axim, maiorem eſſe O P altitudine ęqua-
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lis portionis H O I, atque ampliùs, in Ellipſi, altitudinem M K portionis T M
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V circa minorẽ axim, minorem eſſe altitudine X Z æqualis portionis HXI, &</
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<
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altera verò prop. </
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iam diù pariter circa ſolida à coni-ſectionibus genita excogitauimus. </
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omnia, ni fallor, omnia ſaltem geometrica: </
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">quæ ſi apertæ iucunditatis referta
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comperies amice Lector, reconditæ vtilitatis haud expertia eße aliquando te
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certiorem factum non dubito.</
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laris, MINIMA eſt rectarũ ab eodem pũcto ad idem planũ ducibiliũ.</
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plano perpendicularis C D. </
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_MAM_ ducibilium ex C ad alia puncta plani A B.</
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<
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iunganturque D E, C E. </
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num A B, erit angulus C D E rectus, ideoque C E
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vnd. Ele.</
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acutus, ſiue minor C D E: </
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& </
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<
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trianguli, vel rectanguli per axem eidem triangulo, vel rectangulo
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rectum fuerit, idem planum in ipſo tantùm latere conicam, vel cy-
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lindricam ſuperficiem continget, quæ tota cadet ad alteram partem
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plani contingentis.</
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axẽ A B C, cui rectũ ſit aliud planũ G D K H tranſiens per latus A B, </
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