Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER VII.
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vt ibi, mutatis conſuetis nominibus &</
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quad. </
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<
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(hoc eſt in figura p.</
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<
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ſolidum, HDFG,) eſſe vt rectangulum ſolidum ſub, QM, MR, ad
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rectangulum ſolidum ſub trapezijs, PQET, SRET, hoc eſt vt re-
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ctangulum, QER, ad rectangulum ſub, QE, ST, vna cum rectan-
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gulo ſub compoſita ex {1/2}. </
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mate p.</
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vna cum rectangulo ſub compoſita ex {1/2}. </
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E; </
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<
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tatis nominibus &</
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<
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uè, cum earum Corollarijs. </
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<
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lidum, OP, viſa illius figura æquari rectangulo ſolido ſub, O
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LS, OVCS, figuris, regula, DC, etenim ex ibi demonſtratis liquidò
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apparet hæc eſſe ſolida æqualiter analoga iuxta dictam reguiam,
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ex quo de inde reliqua concludentur mutatis nominibus &</
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& </
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inde produci, vt incidat aſymptotis, OY, OP, verſus eam productis,
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in, S, I, quælitterę deſunt, cæterum prop. </
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tatis &</
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<
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reſtauratis, acſequenti ſcholio modificato, iuxta quod dictum fuit
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Annot.22.
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& 26. hu-
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ius.</
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in examine lib. </
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fatis libris, colligentur, hæc autem pro reſtauratione lib.</
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ſint ſatis.</
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<
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methodo indiuiſibilium dependebant, ibidẽ fuiſſe reſtauratas. </
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autem propoſitiones, in quibus adhibentur aliquando nomina om-
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nium quadratorum talium, vel talium figurarum, adhuc ſubſiſtent,
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ſi illis nomina quadratorum ſolidorum earundem figurarum ſub-
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ſtituamus, hac.</
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ſuo robore, vt in eo libro innuitur in ſcholio prop. </
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ſæpè ſæpius repetitum fuit.</
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