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

Page concordance

< >
Scan Original
41 21
42 22
43 23
44 24
45 25
46 26
47 27
48 28
49 29
50 30
51 31
52 32
53 33
54 34
55 35
56 36
57 37
58 38
59 39
60 40
61 41
62 42
63 43
64 44
65 45
66 46
67 47
68 48
69 49
70 50
< >
page |< < (57) of 569 > >|
7757LIBER I. GM, ideſt, vt, AD, ad, GH, ergo permutando, BA, ad, AD,
116. Sextr
Elem. erit vt, IG, ad, GH, & anguli, BAD, IGH, ſunt æquales, er-
go, BAD, IGH, erunt triangula ſimilia, ergo anguli, ADB, G
HI, æquales erunt, ſunt autem ęquales etiam, ADF, GHO, er-
go reliqui, BDF, IHO, erunt æquales, eſt verò, BD, ad, DA,
vt, IH, ad, HG, & , AD, ad, DF, vt, GH, ad, HO, ergo ex
æquali, BD, ad, DF, eſt vt, IH, ad, HO, ergo triangula, BD
F, IHO, pariter ſimilia erunt, & anguli, DFB, HOI, inter ſe,
necnon, DBF, HIO, inter ſe ęquales, ergo anguli, ABF, GIO,
ADF, GHO, erunt etiam ęquales, & figurę, ABFD, GIOH,
æquiangulę, & cum, BA, ad, DF, FB, binæ ſint in eadem ratio-
ne cum, IG, GH, HO, OI, patet, quod etiam circa ęquales an-
gulos ſunt latera proportionalia, ergo ipſæ figuræ, BADF, IG
HO, ſimiles erunt. Eodem autem modo oſtendemus ſimiles eſſe, B
CEF, IMNO, patet autem ipſas, BF, IO, eſſe earum latera ho-
mologa, quod erat demonſtrandum.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


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