Valerio, Luca, De centro gravitatis solidorum, 1604

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 283 > >|
1
PROPOSITIO XIII.
Cuilibet figuræ ſolidæ parallelepipedum æqua­
le poteſt eſſe.
Sit quælibet figura ſolida A. Dico ſolido A, parallele­
pipedum æquale poſse exiſtere.
Exponatur enim paral­
lelepipedum BC, cuius baſis BG.
Quoniam igitur eſt vt
ſolidum BC, ad ſolidum A, ita recta linea, ſiue latus BD,
ad aliam rectam lineam; producto latere BD, ſit vt BC,
ad A, ita recta BD, ad rectam DE, & compleatur pa­
rallelepipedum CE.
Quoniam itaque eſt vt BD, ad DE,
ita parallelogrammum ſiue baſis BG, ad parallelogram­
20[Figure 20]
mum, ſiue baſim EG; hoc eſt parallelepipedum BC, ad
parallelepipedum CE: ſed vt BD, ad DE, ita eſt paral­
lelepipedum BC, ad ſolidum A; vt igitur parallelepipe­
dum BC, ad ſolidum A, ita erit parallelepipedum BC,
ad parallelepipedum CE; parallelepipedum igitur CE
æquale erit ſolido A.
Quod fieri poſse propoſuimus.

Text layer

  • Dictionary
  • Places

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index