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
101	43
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103
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105
106
107
108
109
110
111
112
113	1
114
115	2
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117	3
118
119	4
120
121	5
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123	6
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125	7
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127	8
128
129	9
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Scan	Original
101	43
102
103
104
105
106
107
108
109
110
111
112
113	1
114
115	2
116
117	3
118
119	4
120
121	5
122
123	6
124
125	7
126
127	8
128
129	9
130

Scan	Original
101	43
102
103
104
105
106
107
108
109
110
111
112
113	1
114
115	2
116
117	3
118
119	4
120
121	5
122
123	6
124
125	7
126
127	8
128
129	9
130