Full text: Angeli, Stefano: Miscellaneum Hyperbolicum et Parabolicum

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.

94.1.

0175-01

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.

95. 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 ſupra

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