Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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13110DE CENTRO GRA VIT. SOLID.

87[Figure 87]

THE OREMA VIII. PROPOSITIO VIII.

Cuiuslibet priſmatis, & cuiuslibet cylindri, uel
cylindri portionis grauitatis centrum in medio
ipſius axis conſiſtit.

Sit primum a f priſma æ quidiſtantibus planis contentũ,
quod ſolidum parallelepipedum appellatur: & oppoſito-
rum planorum c f, a h, d a, f g latera bifariam diuidantur in
punctis k l m n o p q r s t u x: & per diuiſiones ducantur
plana κ n, o r, s x. communes autem eorum planorum ſe-
ctiones ſint lineæ y z, θ φ, χ ψ: quæ in puncto ω conueniãt.
erit ex decima eiuſdem libri Archimedis parallelogrammi
c f centrum grauitatis punctum y; parallelogrammi a

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Scan	Original
91	40
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93	41
94
95	42
96
97	43
98
99	44
100
101	43
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103
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106
107
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109
110
111
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113	1
114
115	2
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117	3
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Scan	Original
91	40
92
93	41
94
95	42
96
97	43
98
99	44
100
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