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

Table of contents

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[51.] PROPOSITIO XXIV.
Page: 86 (74)
[52.] PROPOSITIO XXV.
Page: 86 (74)
[53.] PROPOSITIO XXVI.
Page: 88 (76)
[54.] SCHOLIVM I.
Page: 91 (79)
[55.] SCHOLIVM II.
Page: 93 (81)
[56.] SCHOLIVM III.
Page: 98 (86)
[57.] PROPOSITIO XXVII.
Page: 99 (87)
[58.] ALITER.
Page: 101 (89)
[59.] PROPOSITIO XXVIII.
Page: 102 (90)
[60.] SCHOLIVMI.
Page: 104 (92)
[61.] SCHOLIVM II.
Page: 104 (92)
[62.] PROPOSITIO XXIX.
Page: 107 (95)
[63.] SCHOLIV M.
Page: 109 (97)
[64.] PROPOSITIO XXX.
Page: 125 (113)
[65.] SCHOLIVM I.
Page: 128 (116)
[66.] SCHOLIVM II.
Page: 129 (117)
[67.] PROPOSITIO XXXI. Semifuſi parabolici cuiuſcunque, centrum grauitatis reperire.
Page: 131 (119)
[68.] SCHOLIVM.
Page: 135 (123)
[69.] PROPOSITIO XXXII.
Page: 138 (126)
[70.] SCHOLIV M.
Page: 140 (128)
[71.] PROPOSITIO XXXIII.
Page: 140 (128)
[72.] SCHOLIVM.
Page: 142 (130)
[73.] PROPOSITIO XXXIV.
Page: 145 (133)
[74.] SCHOLIVM.
Page: 146 (134)
[75.] PROPOSITIO XXXV.
Page: 148 (136)
[76.] SCHOLIVM.
Page: 148 (136)
[77.] PROPOSITIO XXXVI.
Page: 149 (137)
[78.] SCHOLIVM.
Page: 150 (138)
[79.] PROPOSITIO XXXVII.
Page: 151 (139)
[80.] SCHOLIVM.
Page: 155 (143)
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SCHOLIV M.
Sed non ſolum habebimus tale centrum grauita-
tis, ſed etiam centrum grauitatis exceſſus cylindri
E C, ſupra ipſum.
PROPOSITIO XXXIII.
Annuli stricti ex ſemiparabola quacunque, cuius expe-
nens ſit numerus par, reuoluta circa parallelam dia-
metro ductam per extremitatem baſis, centrum grauita-
tis aſſignare.
ESto ſemiparabola quæcunque D B C, cuius ex-
ponens ſit numerus par, ſitque eius diameter
B D, baſis D C, & intelligamus D B C, rotari cir-
ca C F, parallelam diametro B D, ductam per C:
oporteat annuli producti centrum grauitatis reperi-
re. Intelligamus ſemiparabolam duplicari ad partes
B D, vt fiat tota parabola A B C, & intelligamus
hanc totam rotari circa F C, vt fiat annulus
A B C H G. Cum hic annulus ex propoſit. 30. ſit
æqualis quatuor ſolidis dictis in illa propoſitione, di-
ſponantur hęc ſolida vt in ſecunda figura. Ergo ho-
rum quatuor folidorum ſimul centrum grauitatis ita
ſecabit V X, vt ſecat B D, centrum grauitatis pa-
rabolæ A B C. Sed ex ſchol. prim. propoſit. 2. lib. 3.
hoc centrum ita ſecat B D, vt pars terminata ad

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