Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER II.
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gulo totius in talem partem ductæ. </
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<
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xml:space
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pedum ſub tota, & </
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<
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lelepipedo ſub reliqua, & </
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<
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cubo eiuſdem partis.</
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<
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<
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pedum ſub, AC, & </
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<
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<
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">quari parallelepipedo ſub, B
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0209-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0209-01
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C, & </
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<
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">rectangulo, BCA, hoc autem patet
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ex ſuperiori Scholio, nam parallelepipedum
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ſub, AC, & </
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<
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tribus his rectis lineis, nempè, AC, & </
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<
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bus, CB, & </
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<
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<
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">rectangulo, ACB,
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ſiue eſt æquale contento ſub, BC, & </
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<
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<
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</
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<
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<
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xml:space
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">Dico inſuper parallelepipedum ſub, AC, & </
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<
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xml:space
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">quadrato, CB, æ-
<
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quari parallelepipedo ſub, AB, & </
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<
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xml:space
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">quadrato, CB, vna cum cubo, C
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B, quod patet nam parallelepipedum ſub diuiſa altitudine, AC, & </
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xlink:label
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xml:space
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">Ex antec.</
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indiuiſa baſi, nempè quadrato, CB, æquatur parallelepipedis ſub
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partibus ſingulis, & </
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<
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BC, & </
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<
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<
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<
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æquabitur parall elepipedis ſub partibus, & </
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<
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eiuſdem. </
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<
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& </
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<
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parallelepipedis ſub tota, & </
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<
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<
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gulo ſub partibus bis contento.</
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</
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<
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<
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parallelepipedis ſub partibus, AB, BC, & </
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<
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">quadrato totius, quod
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patet nam cubus, AC, ideſt parallelepipedum ſub diuiſa, AC, & </
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indiuiſa baſi quadrato, AC, eſt æquale parallelepipedis ſub partibus,
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AB, BC, eiuſdem, AC, diuiſæ, & </
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<
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</
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<
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<
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quadrato, AB, quadrato, BC, & </
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<
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cubus, AC, ideſt parallelepipedum ſub indiuiſa altitudine, AC, & </
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<
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<
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<
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xlink:label
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">35. huius.</
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diuiſa baſi in dicta quattuor ſpatia, æquatur parallelepipedis ſub ea-
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dem indiuiſa altitudine, AC, & </
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<
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quadrato, AB, quadrato, BC, & </
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<
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erat oſtendendum.</
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