Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of Notes

< >
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
[Note]
< >
page |< < (418) of 569 > >|
438418GEOMETRIÆ prædicta omnia quadrata, vel rectangula, vt ſupra ad inuicem
comparata.
COROLLARIVM XIII.
IN Prop. 13. habetur ſimiles conoides hyperbolicas eſſe in tri-
11Eliciture 1
Coro. 50.
l. 1.
pla ratione axium, vel diametrorum earundem, quippe quæ
ex ſimilibus hyperbolis naſcuntur:
lgitur in anteced. Corollarij
figura, ſi ſupponantur ſimiles hyperbolæ, BAD, HMQ, vt fiant
ex illis ſimiles conoides hyperbolicæ, FEG, HTS, iſtæ erunt inter
ſe in tripla ratione axium, AC, MP, &
ſic erit quodlibet ſolidum
22Coro. 50.
l. 1.
ſimilare genitum ex hyperbola, FEG, ad ſibi ſimilare genitum ex
hyperbola, HTS, iuxta regulas, FG, HS.
COROLLARIV M XIV.
IN Prop. 14. expoſita eius figura, vt fiat exem plum, reuolua-
299[Figure 299] tur circa axim, DG, vt ex, EG, fiat
cylindrus, EF, &
ex trilineo, DGB, ſo-
lidum, DBGF, quod vocetur:
Apex
hyperbolicus;
patet ergo cylindrum, E
F, ad apicem, BDF, eſſe vt, BD, ad ſui
reliquum, dempta ab eodem ſemihy-
perbola, BED, vna cum exceſſu, quo
ipſa ſuperat {1/3}.
parall: logrammi, BD, &
{1/6}.
BM; & ſic eſſe patet, quodlibet ſoli-
dum ſimilate genitum ex, BD, ad ſibi
ſimilare genitum ex ſemihyperbola, BE
D, iuxta communem regulam, ED.
COROLLARIVM XV.
IN Propoſ. 15. expoſita
300[Figure 300] eius figura, vt fiat exẽ-
p@u@n, eadem voluatur cir-
ca axim, GD, vt ex, FD,
fiat cylindrus, FH, &
ex
hyperbola, CBD, ſolidum,
CBDNH, quod voeetur:
Sem anulus ſtr@ctus hyper-
bolicus:
@ntelligantur autẽ
ſe@nper hæc ſolida ſecari
per axem, vt ijs producan-
tur figuræ, quæ in

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index