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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10492 nes lineas trilinei C D B, parallelas itidem D C;
nempe vt tubus ad differentiam, ſic parallelogram-
mum ad trilineum.

Cum vero quod oſtenſum eſt de totis, pateat poſ-
ſe eodem modo probari de partibus proportionali-
bus, ideo patet propoſitum.

SCHOLIVMI.

Patet ergo quomodo adhibito etiam alio ſolido
hyperbolico, nempe differentia conoideorum, poſſi-
mus quadrare parabolam. Cum enim ex propoſit.
anteced. tubus cylindricus Q E L C, ſit triplus dif-
ferentiæ conoideorum; etiam parallelogrammum
triplum erit trilinei; & conſequenter ſeſquialterum
femiparabolæ.

Inſuper patet, quod cum in ſchol. 2. propoſit. 18.
probatum ſit, conum, trilineum quadraticum, exceſ-
ſum cylindri circumſcripti hemiſphærio, & hemiſ-
phæroidi, & exceſſum tubi cylindrici ſuper annulum
latum ex hyperbola circa ſecundam diametrum, eſſe
quantitates proportion aliter analogas, patet in-
quam, his pro ſexta addi differentiam conoideorum
prædictam.

SCHOLIVM II.

In propoſit. 11. lib. 2. de Infinit. Parab. cuius
ſchema hic apponimus, probauimus, quod ſi

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Scan	Original
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