Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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14115DE CENTRO GRAVIT. SOLID. bere proportionem, quam ſpacium g h ad dictã
figuram, hoc modo demonſtrabimus.

Intelligatur circulus, uel ellipſis x æqualis figuræ rectili-
neæ in g h ſpacio deſcriptæ: & ab x conſtituatur conus, uel

95[Figure 95] coni portio, altitudinẽ habens eandẽ, quã cylindrus uel cy
lindri portio c e. Sit deinde rectilinea figura, in quay eade,
quæ in ſpacio g h deſcripta eſt: & ab hac pyramis æquealta
conſtituatur. Dico conũ uel coni portionẽ x pyramidiy æ-
qualẽ eſſe. niſi enim ſit æqualis, uel maior, uel minor erit.

Sit primum maior, et exuperet ſolido z. Itaque in circu
lo, uel ellipſi x deſcribatur figura rectilinea; & in ea pyra-
mis eandem, quam conus, uel coni portio altitudinem ha-
bens, ita ut portiones relictæ minores ſint ſolido z, quem-
admodum docetur in duodecimo libro elementorum pro
poſitione undecima. erit pyramis x adhuc pyramide y ma
ior. & quoniam piramides æque altæ inter ſe ſunt, ſicuti ba
116. duode-
cimi. ſes; pyramis x ad piramidem y eandem proportionem ha-
bet, quàm figura rectilinea x ad figuram y. Sed ſigura

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Scan	Original
31	10
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33	11
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35	12
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37	13
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39	14
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41	15
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43	16
44
45	17
46
47	18
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49	19
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51	20
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53	21
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55	22
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57	23
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Scan	Original
31	10
32
33	11
34
35	12
36
37	13
38
39	14
40
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