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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Scan	Original
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45	17
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47	18
48
49	19
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51	20
52
53	21
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55	22
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57	23
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61	25
62
63	26
64
65	27
66
67	22
68
69	29
70

Scan	Original
41	15
42
43	16
44
45	17
46
47	18
48
49	19
50
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70