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
71	30
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73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90
91	40
92
93	41
94
95	42
96
97	43
98
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100

Scan	Original
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90
91	40
92
93	41
94
95	42
96
97	43
98
99	44
100