Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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16ARCHIMEDIS

PROPOSITIO III.

Solidarvm magnitudinum, quæ æqualẽ
molem habentes æque graues ſunt, atque humi-
dum; in humidum demiſſæ demergentur ita, vt
ex humidi ſuperficie nihil extet: non tamen ad
huc deorſum ferentur.

SIT magnitudo aliqua æque grauis, atque humidum:
& ſi fieri poteſt, in humidum demiſſa extet ex ſuperficie ip
ſius: conſiſtat autem humidum, maneatq; : & intelligatur
aliquod planum ductũ

6[Figure 6] per cẽtrum terræ, & hu
midi, ac per ſolidam ma
gnitudinem, ut ſit ſuper
ficiei quidem humidi ſe
ctio a b c d; ſolidæ uero
magnitudinis inſiden-
tis e h t f; & terræ cen-
trum k: ſitq; ſolidæ ma-
gnitudinis pars, quæ in
humido eſt, b h t c; &
quæ extra humidum b e f c. intelligatur etiam ſolida figu-
ra comprehenſa pyramide, baſim quidem habente paralle
logrammum, quod eſt in ſuperficie humidi; uerticem au-
tem centrum terræ: ſitq; ſectio plani, in quo eſt a b c d cir-
cunferentia, & planorum pyramidis k l, k m: & deſcriba-
tur quædam alterius ſphæræ ſuperficies x o p circa centrũ
k, in humido ſub e f h t, ut ſit ipſa x o p ſectio facta à ſuper fi
cie plani. Sumatur præterea alia quædam pyramis æqua-
lis, & ſimilis comprehendenti ſolidam figuram, ipſi

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Scan	Original
91	40
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93	41
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95	42
96
97	43
98
99	44
100
101	43
102
103
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106
107
108
109
110
111
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113	1
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115	2
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Scan	Original
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
111
112
113	1
114
115	2
116
117	3
118
119	4
120