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

< >
[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)
< >
page |< < (58) of 232 > >|
7058 circa E F, æqualem eſſe cono G E M; ergo com-
muni addito cylindro K D, erit ſo idum C B k L,
æquale cylindro D K, & cono G E M. Quò hinc
inde ablato. Ergo ſolidum G C B E k L M, erit æ-
quale cylindro k D.
Eodem modo oſtendemus æqualitatem partium
proportionalium, v. g. partem annuli ortam ex rota-
tione quadrilateri mixti C O P G, æqualem eſſe
cylindro Q S. Addendo enim cylindrum Q S, &
auferrendo G P R M, fruſtum conicum, patebit
propoſitum.
SCHOLIVM I.
Præſens propoſitio potuiſſet immediate probari
per indiuiſibilia independenter ab anteced. propo-
ſit. Quia facta conſtructione vt in anteced propoſit.
ſtatim patebit ex propoſit. 11. 2. Conic. & rectangu-
lum O P N, æquale eſſe quadrato B E, ſeù Q I;
& armillam circularem O P N, æqualem pariter
fore circulo cuius radius Q I. Quare facile patebit
& omnes armillas ſolidi ex quadrilatero mixto
C B E G, æquales eſſe omnibus circulis cylindri k D,
& ipſum annulum ex quadrilatero mixto, æqualem
eſſe cylindro k D. Maluimus tamen hanc ex ante-
cedenti deducere, vt pauidis geometris non relin-
quamus vllum locum hæſitandi de certitudine præ-
ſentis propoſitionis; nam adhibita præſenti conſtru-
ctione propoſitio non probatur niſi per

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index
Impressum