Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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genitis enucleatur doctrina.</
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<
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198
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0305-01
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xlink:href
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">SI PARALLELOGRAMMVM, & </
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xml:space
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gulum fuerint in eadem baſi, & </
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<
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xml:space
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">circa
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eundem axim, vel diametrum cum pa-
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rabola; </
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<
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xml:space
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">parallelogrammum erit para-
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bolæ ſexquialterum, triangulum au-
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tem erit eiuſdem parabolæ ſubſexqui-
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tertium.</
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>
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</
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<
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<
s
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xml:space
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">Sit ergo parabola, FCH, in baſi, FH, circa axim, vel diame-
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trum, CG, ſit autem in eadem baſi, FH, & </
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<
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xml:space
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">circa eundem axim, vel
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diametrum parallelogrammum quoq; </
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number
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199
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0305-02
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xlink:href
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Dico ergo parallelogrammum, AH,
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eſſe ſexquialterum parabolæ, FCH;
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</
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<
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xml:space
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">triangulum autem, CFH, eſſe eiuſdem
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parabolæ, FCH, ſubſexquitertium. </
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<
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Sumatur ergoin, CE, quæ tangit pa-
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rabolam in puncto, C, vtcunque pun-
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ctum, N, & </
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<
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xml:space
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">per, N, ducatur ipſi, CG,
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parallela, NO, producta vſque ad ba-
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ſim, FH, cui occurrantin, O; </
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<
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riter ſecet curuam parabolæin, M, & </
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<
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per, M, ducatur ipſi baſi, FH, parallela, IL. </
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<
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