Full text: Archimedes: Archimedis De iis qvae vehvntvr in aqva libri dvo

DE 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.

11.1.

0018-01

12. 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. 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.

12.1.

0019-01
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