Angeli, Stefano degli - Miscellaneum hyperbolicum et parabolicum : in quo praecipue agitur de centris grauitatis hyperbolae, partium eiusdem, atque nonnullorum solidorum, de quibus nunquam geometria locuta est, parabola nouiter quadratur dupliciter, ducuntur infinitarum parabolarum tangentes, assignantur maxima inscriptibilia, minimaque circumscriptibilia infinitis parabolis, conoidibus ac semifusis parabolicis aliaque geometrica noua exponuntur scitu digna

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176164 terminatamad E, vt 5, ad 3. Patet etiam ex dict is
in varijs propoſitionibuslib. 3. qualiter poſſimus ha-
bere centrum grauitatis variorum ſegmentorum di-
cti exceſſus, ſicuti habemus centrum æquilibrij in
baſi A C, variorum ſegmentorum parabolæ.

Sed duo etiam adnotentur. Primumeſt, magni-
tudinibus inſchol. 3. propoſ. 26. oſtenſis proportio-
naliter analogis, aſſociarietiam exceſſum prædictum
ſupra conum. Alterumeſt, quod quæ dicta ſunt de
exceſſu portionis ſphæræ ſupra ſuumconum, intelli-
genda etiam ſunt de exceſſu portionis ſphæroidis
ſupra ſuum conum. Quia in lib. 4. de infinit. para-
bolis, probata eſt perpetua analogia reperta inter
proportionales partes ſphæræ, & ſphæroidis.

PROPOSITIO XLVI.

Si in quolibet conoide hyperbolico, & parabolico quadra-
tico; item in qualibet ſphœiœ, vel ſphœroidis portione
inſcribatur conus. Centrum grauitatis exceſſus prœdi-
ctorum ſolidorum ſupra ſuos conos erit in medio puncto
diametri ipſorum.

SIt conoides parabolicum quadraticum, vt in
prima figura in ſchem. ſequent. B A C, vel
hyperbolicum vt in ſecunda; vel quælibet portio
ſphæræ, vel ſphæroidis vt in tertia, & in iſtis ſolidis
intelligantur inſcripti coni B A C. Dico centrum
grauitatis exceſſuum prædictorum ſolidorum

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