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
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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