Valerio, Luca - De centro gravitatis solidorum

Scan	Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70

PROPOSITIO XXX.

Omnis octaedri idem eſt centrum grauitatis,
& figuræ.

Eſto octaedrum ABCDEF, cuius centrum G. Di
co G, eſse centrum grauitatis octaedri ABCDEF.
Ductis enim axibus AC, BD, EF, communis eorum
ſectio erit centrum G, in quo axes bifariam ſecabuntur:
omnium autem angulorum, qui ad G, bini qui que ad
verticem ſunt æquales, qui æqualibus altera alteri rectis
continentur; ſimilia igi
tur, & æqualia erunt trian
gula, nimirum EBG,
GDF, & ECG, ipſi
GFA, & BCG, ipſi
GDA: igitur & BCE,
ipſi ADF; pyramis igi
tur EBCG, ſimilis, &
æqualis eſt pyramidi A
DFG, quarum latera ho
mologa ſunt indirectum
inter ſe conſtituta; dua
rum igitur pyramidum

44[Figure 44]
EBCG, ADFG, ſimul centrum grauitatis erit G.
Eadem ratione ſex reliquarum pyramidum binis quibuſ
que oppoſitis ſimul ſumptis centrum grauitatis erit G.
Totius igitur octaedri ABCDEF, centrum grauitatis
erit G. Quod demonſtrandum erat.

Page concordance

Text layer

Text normalization

Search

Scan	Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70

Scan	Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70

Scan	Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70