Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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136FED. COMMANDINI medis. ergo punctum v extra p riſima a f poſitum, centrũ
erit magnitudinis cõpoſitæ e x omnibus priſmatibus g z r,
r β t, t γ x, x δ k, k δ y, y u, u s, s α h, quod fieri nullo modo po
teſt. eſt enim ex diſſinitione centrum grauitatis ſolidæ figu
ræ intra ipſam poſitum, non extra. quare relinquitur, ut cẽ
trum grauitatis priſmatis ſit in linea K m. Rurſus b c bifa-
riam in ξ diuidatur: & ducta a ξ, per ipſam, & per lineam
a g d plan um ducatur; quod priſma ſecet: faciatq; in paral
lelogrammo b f ſectionem ξ π di uidet punctum π lineam
quoque c f bifariam: & erit p lani eius, & trianguli g h K
communis ſectio g u; quòd p ũctum u in inedio lineæ h K

91[Figure 91] poſitum ſi t. Similiter demonſtrabimus centrum grauita-
tis priſm atis in ipſa g u ineſſe. ſit autem planorum c f n l,
a d π ξ communis ſectio linea ρ ο τ quæ quidem priſmatis
axis erit, cum tranſeat per centra grauitatis triangulorum
a b c, g h k, d e f, ex quartadecima eiuſdem. ergo centrum
grauitatis pri ſmatis a f eſt punctum σ, centrum

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Scan	Original
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Scan	Original
31	10
32
33	11
34
35	12
36
37	13
38
39	14
40
41	15
42
43	16
44
45	17
46
47	18
48
49	19
50
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60