Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRI Æ
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xml:space
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nitum ex circulo, vel ellipſi, ABC
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D, ſiue ſit ſphæra, vel ſphæroides, vel
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tantum ſolidum ſimilare, ad ſolidum ſibi
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ſimilare genitum ex altera portionum, B
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AD, BCD, vtramuis, vtex, BAD,
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ſiue hoc ſit portio ſphæræ, vel ſphæroi-
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dis, vel tantum ſolidum ſimilare genitum
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ex, BAD, eſſe vt parallelepipedum ſub
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altitudine, XC, baſi quadrato, CA, ad
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parallelepipedum ſub altitudine, XE, baſi
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quadrato, EA, vel vt cubus, AC, ad pa-
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rallelepipedum ſub altitudine tripla, EC,
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baſi quadrato, AE, cum cubo, AE.</
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tione, BAD, ad ſibi ſimilare genitum ex portione, BCD,
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eſſe vt parallelepipedum ſub altitudine, XE, baſi quadrato, EA, ad
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parallelepipedum ſub altitudine, OAE, baſi quadrato, EC, qua-
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liacunque ſint illa ſolida ſimilaria, ſiue ſit, AC, axis, ſiue tantum
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diameter.</
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dum ſimilare genitum ex portio-
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ne, BAF, ad ſibi ſim lare genitum ex
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portione, CAD, ſiue hæciolida ſint
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portiones ſphærę, vel ſphæroidis, ſiue
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tantum ſolida ſimilaria, ſiue, AN,
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ſit axis, ſiue tantum diameter, eſſe vt
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parallelepipedum ſub altitudine, XE,
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baſi quadrato, EA, ad parallelepipe-
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dum ſub altitudine, XM, baſi qua-
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drato, MA, vt exemplificaturin præ-
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ſenti ſigura more ſolito.</
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