Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER II.
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Lib. </
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quando Propoſitiones offenderis nonnibil prolixiores, quam ſi per banc
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poſteriorem partem fuiſſent demonſtrate, cum illaex priori parte tunc
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deductæ fuerint, quod ſolerti Geometræ haud difficile erit in illis propo-
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ſitionibus animaducrtere, in quibus banc viderit adhiberi.</
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rallelepipedum ſub medietate propoſitæ lineæ, & </
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rectangulo inæqualibus partibus contento, cum parallele-
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pipedo ſub eadem medietate, & </
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intermediæ, æquabitur cubo eiuſdem medietatis propoſi-
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cæ lineæ.</
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co parallelepipedum ſub, BE, & </
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rallelepipedo ſub, BE, & </
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æquale eſſe; </
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Elem.</
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drato, BE, eſt æquale, vt autem rectangulum, ACE, cum qua
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drato, BC, ad quadratum, BE, ita (ſumpta communi altitudine,
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BE,) parallelepipedum ſub, BE, & </
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E, & </
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BE, ideſt ad cubum, BE, ergo parallelepipedum ſub, EB, & </
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rectangulo, ACE, vna cum parallelepipedo ſub eadem, EB, & </
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quadrato, BC, erit æquale cubo, EB, quod oſtendendum erat.</
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<
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127
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0211-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0211-01
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