Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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iuxta planum, DF, aſſum-
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ptæ, erit igitur hic cylin-
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<
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34. l. 3.</
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drus ad portionem, DAF,
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vt, OE, ad compoſitam ex
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{1/2}. </
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<
s
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xml:space
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">OA, hanc au-
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tem rationem habeat, SV,
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ad aliam altitudinem, erit
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ergo cylindrus, RQ, ad cy-
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lindrum altitudinis inuen-
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tæ, & </
s
>
<
s
xml:id
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xml:space
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preserve
">in eadem baſi, PQ,
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conſtitutum, vt, OE, ad
<
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compoſitam ex {1/2}. </
s
>
<
s
xml:id
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xml:space
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<
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xml:id
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xml:space
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<
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{1/6}. </
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<
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">i. </
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xml:space
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">vt cylindrus, R
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Q, ad portionem, DAF,
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igitur inuentus cylindrus
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erit æqualis portioni, DA
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F. </
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<
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tudo inuenti cylindri, & </
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fiat conus talis altitudinis,
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in eadem cum eo baſi, hic
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igitur conus erit æqualis
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inuento cylindro, & </
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<
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inde portioni, DAF. </
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<
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dem modo inueniemus cy-
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lindrum, vel conum æ-
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qualem portioni, BAH.</
s
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<
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lindro conſtituto, ad quod cylindrus notam rationẽ
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habeat, cylindrum, & </
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ſolido.</
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<
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<
s
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xml:space
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">Sit ſolidum quodcunque, DAF, ad quod cylindrus, BF, in eadem
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baſi, DF, & </
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>
<
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xml:space
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">eadẽ altitudine cum eodẽ cõſtitutus, habeat notam ra-
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tionem. </
s
>
<
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xml:id
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xml:space
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>
<
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xml:space
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">conum, æqualem dato ſo-
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lido. </
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<
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xml:space
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">Fiat ergo, vt cylindrus, BF, ad ſolidum, DAF, ſic altitudo, quæ
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ſit, AE, ad altitudinem, EI, & </
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>
<
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">per, I, ducatur planum producẽs
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in cylindro, BF, circulum, GK, conſtituenſque cylindrum, GF,
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igitur, vt, AE, ad, EI, ſic erit cylindrus, BF, ad cylindrum, GF, &</
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