## 530.COROLLARIVM XXVI.

N Propoſitione 49. aſſumpta de figura Propoſit. 46. parabola,

ZAG, cum axi, AQ, & illi parallela, DP, abſcindatur ab axi,
AQ, ipſa, AV, exceſſus, AQ,
ſuper, DP, & vt fiat ſolitum
exemplum, reuoluantur tũ
fruſtum minus, DPG, circa
communem axem, DP, vt
ex fruſto maiori, DAZP,
fiat aceruus maior parabo
minori, DPG, fiat aceruus
minor parabolicus, RDG: Patet ergo ex hac Propoſ. aceruum
nem compoſitam ex ea, quam habet compoſita ex {1/3}. ZP, & {1/6}. PG,
parallelepipedum ſub, AQ, & his ſpatijs. ſ. quadrato, PQ, {1/2}. qua-
drati, QZ, & rectangulo ſub ſexquitertia, ZQ, & ſub, QP, dempto
ab eodem {1/6}. parallelepipedi ſub, AV, & quadrato, QP: Sic autem
erit etiam quodlibet ſolidum ſimilare genitum ex fruſto minori,
DPG, ad ſibi ſimilare genitum ex figura, CAZP, Prop. 46. dem-
pto ſolido ſimilari genit o ex trilineo, ACD, iuxta communem re-
gulam, ZG.

## 531.COROLLARIVM XXVII.

N Propoſitione 50. de figura Propoſit. 46. ſumatur fruſtum

minus parabolæ, quod eſt, DGP, quodque ſecatur per rectam,
TI, æquidiſtantem ipſi, PG, acci-
piantur inſuper duæ integræ, ZG,
SI, & vt fiat noſtrum exemplum,
reuoluatur, DPG, fruſtum circa
manentem axim, DP, vt ex, DPG,
ſiat aceruus minor, RDG, & ex,
DTI, eius fruſtum, YDI, patet er-
go ex hoc Theorem. aceruum mi-
norem, RDG, ad reſectum fruſtum, YDI, habere rationem com-
poſitam ex ea, quam habet rectangulum, ZPG, cum {1/2}. quadrati,

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