Full text: Angeli, Stefano: Miscellaneum Hyperbolicum et Parabolicum

periendi centrum grauitatis ſegmenti annuli ex ſeg-
mento intermedio Q X H I. Quod etiam inueniet
alio modo expreſſo in eodem ſchol o.

Ex ſchol. propoſit. 19. agnoſcet modum reperien-
di centrum grauitatis portionis annuli ex portione
maiori I H B C.

Tandem ex ſchol. propoſit. 21. agnoſcet modum
reperiendi centrum grauitatis ſegmenti intermedij
annuli ex ſegmento intermedio I H B Z Y, interci-
piente axim B N.

Hæ ergo ſunt notitiæ geometricæ, quæ deducun-
tur ex anteced. propoſit. Quibus addenda eſt. Quod
cum notatum ſit in ſchol. prim propoſit. 8. lib. 4. Pa-
rabolam, ſphæram, ſphæroides, & exceſſum cylin-
dri ſupra duos conos inuersè poſitos, quorum baſes
oppoſitæ baſes cylindri, vertex verò medium pun-
ctum axis, eſſe magnitudines proportionaliter ana-
logas tam in magnitudine, quam in grauitate; ſe qui
ex dictis, his aſſociari annulum prædictum ex hy-
perbola.

57. PROPOSITIO XXVII.

In ſchematæ propoſit. quintæ, exceſſus cylindri circumſcri-
pti conoidi hyperbolico ſupra cylindrum circumſcriptum
conoidi parabolico, erit triplus exceſſus conoidis hyperbo-
lici ſupra conoides parabolicum.

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