Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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15522DE CENTRO GRAVIT. SOLID.

Ex demonſtratis perſpicue apparet, portioni
ſphæræ uel ſphæroidis, quæ dimidia maior eſt, cẽ
trum grauitatis in axe conſiſtere.

Data enim

108[Figure 108] qualibet maio
ri portiõe, quo
niã totius ſphæ
ræ, uel ſphæroi
dis grauitatis
centrum eſt in
axe; eſt autem
& in axe cen-
trum portio-
nis minoris:
reliquæ portionis uidelicet maioris centrum in axe neceſ-
ſario conſiſtet.

THE OREMA XIII. PROPOSITIO XVII.

Cuiuslibet pyramidis triã

109[Figure 109] gularem baſim habẽtis gra
uitatis centrum eſt in pun-
cto, in quo ipſius axes con-
ueniunt.

Sit pyramis, cuius baſis trian
gulum a b c, axis d e: ſitq; trian
guli b d c grauitatis centrum f:
& iungatur a f. erit & a faxis eiuſ
dem pyramidis ex tertia diffini-
tione huius. Itaque quoniam centrum grauitatis eſt in
axe d e; eſt autem & in axe a f; quod proxime

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81	35
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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
101	43
102
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Scan	Original
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
101	43
102
103
104
105
106
107
108
109
110

Scan	Original
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
101	43
102
103
104
105
106
107
108
109
110