Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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194DE IIS QVAE VEH. IN AQVA. premitur pars humidi, quæ eſt ſub ſuperficie o p. quare ex-
pellet partem minus preſſam, & non manebit humidum.
ponebatur autem manens. non igitur demergetur tota,
ſed aliqua pars ipſius ex humidi ſuperficie extabit.

PROPOSITIO V.

Solidarvm magnitudinum quæcunque le
uior humido fuerit, demiſſa in humidum vſque
eô demergetur, vt tanta moles humidi, quanta
eſt partis demerſæ, eandem, quam tota magnitu-
do, grauitatem habeat.

DISPONANTVR eadem, quæſupra: ſitq; humi-
dum manens: & magnitudo e h t f humido leuior. Si igitur
humidum manet, ſimiliter prementur eius partes, quæ æ-
qualiter iacent. ſimiliter ergo premetur humidum ſub ſu-
perficiebus x o o p.

8[Figure 8] quare æ qualis eſt graui-
tas, qua premuntur. eſt
autem & grauitas humi
di, quod in prima pyra-
mide abſque ſolido b h
t c, æqualis grauitati hu
midi, quod in altera py-
ramide abſq; r s q y hu-
mido. perſpicuum eſt
igitur grauitatem ma-
gnitudinis e h t f grauitati humidi r s q y æqualem eſſe. ex
quibus conſtat, tantam humidi molem, quanta eſt pars de
merſa ſolidæ magnitudinis, eandem, quam tota magnitu-
do habere grauitatem.

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Scan	Original
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Scan	Original
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
121	5
122
123	6
124
125	7
126
127	8
128
129	9
130