Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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14315DE CENTRO GRAVIT. SOLID.

97[Figure 97] ni portionem, ita eſt c_y_lindrus ad c_y_lindrum, uel c_y_lin-
dri portio ad c_y_lindri portionem: & ut p_y_ramis ad p_y_ra-
midem, ita priſma ad priſma, cum eadem ſit baſis, & æqua
lis altitudo; erit c_y_lindrus uel c_y_lindri portio x priſma-
ti _y_ æqualis. eftq; ut ſpacium g h ad ſpacium x, ita c_y_lin-
drus, uel c_y_lindri portio c e ad c_y_lindrum, uel c_y_lindri por-
tionem x. Conſtatigitur c_y_lindrum uel c_y_lindri portionẽ
c e, ad priſina_y_, quippe cuius baſis eſt figura rectilinea in
117. quinti ſpacio g h deſcripta, eandem proportionem habere, quam
ſpacium g h habet ad ſpacium x, hoc eſt ad dictam figuram.
quod demonſtrandum fuerat.

THE OREMA IX. PROPOSITIO IX.

Si pyramis ſecetur plano baſi æquidiſtante; ſe-
ctio erit figura ſimilis ei, quæ eſt baſis, centrum
grauitatis in axe habens.

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Scan	Original
61	25
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64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
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80
81	35
82
83	36
84
85	37
86
87	38
88
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90

Scan	Original
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
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