Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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mum, AE, ſimul cum figura, BCE, ſed, ne fiat confuſio, ſint ſub
<
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xlink:label
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note-0184-01
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xlink:href
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xml:space
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">B. Def. 4.
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lib. 1.</
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ampliori forma, & </
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<
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">inipſis tanquam in baſibus conſtituti intelligan-
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tur duo cylindrici recti, FE, nempè in baſi, AE, &</
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<
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xml:space
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">, DGE, in baſi
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figura, BCE, & </
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<
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xml:space
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">in eadem altitudine, quorum quod inſiſtit ipſi, A
<
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/>
E, eſt parallelepipedum, vt facilè oſtendetur, intelligatur nunc pa-
<
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rallelepipedum, FE, ſecari vtcunque plano ipſi, GE, &</
s
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<
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xml:space
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s
>
<
s
xml:id
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xml:space
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">quidiſtante,
<
lb
/>
producetut ergo ex hac ſectione in ipſo parallelogrammum rectan-
<
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xlink:label
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note-0184-02
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xlink:href
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xml:space
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">Coroll. 6.
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lib. 1.</
note
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gulum, quod ſit, KO, eodem autem plano fiat in cylindrico, DG
<
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E, rectangulum, LO, fiet autem & </
s
>
<
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xml:space
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">in hoc cylindrico rectangulum,
<
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quia dictum planum ducitur per latera baſi, BCE, rectè inſiſten-
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0184-01
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tia, cum ducatur &</
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<
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<
s
xml:id
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xml:space
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">qui-
<
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diſtanter ipſi, GE, quod
<
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ducitur perlatera, GC,
<
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/>
SE, erit ergo rectange-
<
lb
/>
lum, KO, vnum ex ijs,
<
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/>
quę dicũtur omnia pla-
<
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/>
na parallelepipedi, FE,
<
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/>
regula, GE, & </
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>
<
s
xml:id
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xml:space
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">rectan-
<
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/>
gulum, LO, erit vnum
<
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/>
ex ijs, quę dicuntur om-
<
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/>
nia plana cylindrici, G
<
lb
/>
DE, regula, GE, quę
<
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/>
rectangula erunt &</
s
>
<
s
xml:id
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xml:space
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s
>
<
s
xml:id
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xml:space
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">què
<
lb
/>
alta, ac rectangulum,
<
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GE, omnia igitur pla-
<
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/>
na parallelepipedi, FE,
<
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/>
(regula, GE,) ſunt omnia rectangula &</
s
>
<
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<
s
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xml:space
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">què alta, ac, GE, ipſius pa-
<
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rallelogrammi, AE, (regula, CE,) & </
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<
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xml:space
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<
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<
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xlink:href
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xml:space
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">E. Def. 8.
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huius.</
note
>
DE, ſunt omnia rectangula figuræ, BCE, &</
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<
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<
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<
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xml:space
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">&</
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<
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xml:id
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s
>
<
s
xml:id
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xml:space
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<
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alta, ac ipſum, GE, regula eadem, CE: </
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<
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xml:space
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drici planis baſibus &</
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<
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xml:space
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ctiones ſimiles, & </
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">&</
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<
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xml:id
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<
s
xml:id
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xml:space
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">quales baſibus, ſit in parallelepipedo, FE, pro-
<
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<
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xlink:href
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xml:space
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">Corol. 12.
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lib. 1.</
note
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ducta, NP, & </
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ergo vt, AE, ad figuram, BCE, ita, NP, ad figuram, HQP, & </
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<
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ita etiam quælibet alię figurę in ipſis per plana &</
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<
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<
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eoſdem ſecantia productæ, & </
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<
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<
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<
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xlink:label
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A. huius.</
note
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.</
s
>
<
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<
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">vt, AE, ad figuram, CBE, ita omnia plana parallelepipedi, F
<
lb
/>
E, regula, AE, ad omnia plana cylindrici, GDE, regula eadem
<
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<
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xlink:label
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note-0184-06
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x. huius.</
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>
baſi, ſunt autem omnia plana parallelepipedi, FE, regula, AE, &</
s
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<
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<
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qualia omnibus eiuſdem planis, regula, GE, quæ ſunt omnia re-
<
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<
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xlink:label
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xml:space
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">E. Def. 8.
<
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lib. 1.</
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ctangula ipſius, AE, regula, CE, &</
s
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<
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<
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xml:space
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<
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omnia plana cylindrici, GDE, regula baſi, CBE, ſunt &</
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