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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[31.] PROPOSITIO XV.
Page: 51 (39)
[32.] SCHOLIVM.
Page: 57 (45)
[33.] PROPOSITIO XVI.
Page: 59 (47)
[34.] SCHOLIVM.
Page: 62 (50)
[35.] PROPOSITIO XVII. Segmenti fupradicti conoidis hyperbolici centrum grauitatis reperire.
Page: 62 (50)
[36.] SCHOLIVM.
Page: 64 (52)
[37.] PROPOSITIO XVIII.
Page: 64 (52)
[38.] SCHOLIVM I.
Page: 67 (55)
[39.] SCHOLIVM II.
Page: 67 (55)
[40.] SCHOLIVM III.
Page: 69 (57)
[41.] PROPOSITIO XIX.
Page: 69 (57)
[42.] SCHOLIVM I.
Page: 70 (58)
[43.] SCHOLIVM II.
Page: 71 (59)
[44.] PROPOSITIO XX.
Page: 72 (60)
[45.] SCHOLIVM.
Page: 74 (62)
[46.] PROPOSITIO XXI.
Page: 76 (64)
[47.] PROPOSITIO XXII.
Page: 78 (66)
[48.] SCHOLIVMI.
Page: 80 (68)
[49.] SCHOLIVM II.
Page: 82 (70)
[50.] PROPOSITIO XXIII.
Page: 85 (73)
[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)
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page |< < (23) of 232 > >|
3523
PROPOSITIO IX.
Si recta A B, ſit ſecta bifariam in C, & in D, E, æque
remotè à C, & pariter in F, G, æque remotè à C; ſit-
que rectangulum A F B, æquale quadrato D C. Erit
etiam rectangulum A D B, æquale quadrato F C.
CVm enim rectangulum A F B, diuidatur in re-
ctangulum ſub A F, in D B, & in rectangulum
A F D, nempe in rectangulum ſub F D, in G B. Er-
go rectangula A F, D B; F D, G B, erunt æqualia
quadrato D C. Quare addito communi rectangu-
lo F D G. Ergo rectangula A F, D B; F D, G B;
15[Figure 15] F D G, erunt æqualia quadrato D C, & rectangulo
F D G; nempe quadrato F C. At rectangula F D G,
& F D, G B, faciunt rectangulum F D B. Quod cum
rectangulo A F, D B, facit rectangulum A D B.
Quare etiam rectangulum A D B, erit æquale qua-
drato F C. Quod & c.
PROPOSITIO X.
Si conoides byperbolicum includatur intra fruſtum conicum
habens oppoſitas baſes parallelas, & latera trapezij geni-
toris frusti ſint partes aſymptoton hyperbolæ

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