Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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hyperbolæ, HTN, erunt vt parallelepipedum ſub, LO, & </
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quadrati, OG, ad reliquum, quod habetur, dempto parallelepipe-
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do ter ſub, OT, & </
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<
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cum cubo, TL, à parallelepipedo
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ſub, LO, & </
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<
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<
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xml:space
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<
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xml:space
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bo, LO, & </
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<
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xml:space
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& </
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<
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xml:space
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cubus, LO, æquatur parallelepipe-
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dis ter ſub, OT, & </
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<
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ter ſub, TL, & </
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<
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xml:space
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cubis, OT, TL, ideò ſi à cubo, OL,
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dematur parallelepipedum ter ſub,
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OT, & </
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<
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note
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TL, remanebit parallelepipedum
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ter ſub, LT, & </
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<
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<
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cubo, TO, quod iungendum eſt pa-
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rallelepipedo ſub, LO, & </
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<
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drati, TO, habebimus ergo pro
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quæſito reſiduo parallelepipedum
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ſub, LO, & </
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<
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<
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<
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<
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ter, cum tribus cubis, TO, & </
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quadrato, TO, ter cum cubo, TO, .</
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<
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dum ſub, LT, & </
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pro quæſito reſiduo, igitur omnia quadrata, RC, ad omnia qua-
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drata figuræ, DAVC, demptis omnibus quadratis hyperbolæ, HT
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N, vel omnia quadrata, FC, ad omnia quadrata figuræ, FADCV
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E, demptis omnibus quadratis oppoſitarum hyperbolarum, Y & </
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B, HTN, erunt vt parallelepipedum ſub, LO, & </
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<
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OG, ad parallelepipedum ſexies ſub, LT, & </
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<
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quatuor cubis, TO, .</
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<
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<
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<
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quadrato, OG, vel, ZS, ad parallelepipedum bis ſub, LT, & </
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drato, TO, cum cubo, TO, & </
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<
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hæc ſunt eorundem ſubtripla, vt conſideranti facilè patebit, quod
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erat oſtendendum.</
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deſcribatur, habens latera earundem axibus, vel dia-
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metris coniugatis parallela, in earum aſymptotis </
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