Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

LIBER III. genitum ex portione minori, RFV, eſſe vt ſexquialtera, FM, ad, M
w. Reuoluatur igitur, vt ſiat noſtrum exemplum, Δ V, circa, RV,
manentem, cylindrus igitur deſcriptus à, Δ V, ad ſolidum deſcriptum
à portione, RFV, erit vt ſexquialtera, FM, ad, M w, & ſic dere-
liquis ſolidis ſimilaribus ab ipſis genitis, & c. Vocetur autem ſolidum
deſcriptum per reuolutionem à portione circuli, RFV, minori; Ma-
lum citrium.

388.1.

0294-02

389. COROLLARIVM XXI.

IN Propof. 24. aſſumpta adhuc figura ſuperioris, quæ reuoluitur,
colligitur ſolidum ſimilare genitum ex portione, RFV, iuxta
axim, FM, regulam, ad ſolidum ſimilare genitum ex eadem, iuxta
baſim, RV, regulam eſſe, vt rectangulum ſub, w M, & ſub baſi, R
V, ad tria quadrata
lineę, RM, cum qua-
drato, MF. Fiat no-
ſtrum exemplum per
reuolutionẽ portio-
nis, RFV, ſemel cir-
ca, RV, & iterum cir-
ca, FM, manentes
axes, primò igitur fit: Malum citrium per
reuolutionem circa,
RV, ſecundò fit ſeg-
mentum ſphæræ per
reuolutionem circa, FM, patet ergo, quam rationem habeat Ma-
lum citrium, ad ſegmentum ſphæræ ab eadem circuli portione per
reuolutionem genitum, quod etiam de reliquis ſimilaribus ſolidis ab
eadem portione, iuxta dictas regulas genitis concluſum eſt.

389.1.

0295-01

390. COROLLARIVM XXII.

IN Propof. 25. ſi ſumamus ex figura Theorem. 21. portionem cir-
culi, vel ellipſis, RFV, vtcunque, cum integra axi, FH, à quá
ſit abſciſſa, IH, æqualis, FM, ſumatur inſuper de, MH, ipſa, M
T, ad quam, FM, ſit vt, Δ V, ad portionem, RFV, coll gemus, ex-
poſita hic figura, ſolidum ſimilare genitum ex, Δ V, ad ſibi ſimilare
genitum ex portione, BFV, eſſe vt quadratum, FM, ad rectangu-
lûm, quod remanet, dempto rectangulo ſub, IM, & ſub, TM, à
rectangulo ſub, FM, & , {2/3}, ipſius, MH. Fiat noſtrum exemplum;

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