Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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1ac minorem ſphæram ſe conformaret, ra­
tionem haberet vaſis minoris & minoris;
atque adeò aqua magis & magis deprimere­
tur, etiam datâ æquali terræ eleuationę.

Sint enim duo vaſa ſimilia ſed inæqualia, in
quibus ſint duo corpora ſimilia & æqualią

AB in minori, & KL in maiori ſimiliter po­
ſita: & ſit continua ſolidorum immerſorum
& aquæ circumfuſæ ſuperficies.
Extrahatur
ex aquâ vtrumque ſolidum pari velocitatę;
vtique citiùs emerget omninò illud, quod
eſt in minori vaſe, quàm quod eſt in maiori;
& multò plus aquæ deſcendere debet in ma­
iori quàm in minori, ac proinde plus eleuari
debet ſolidum in maiori vaſe, quàm in mi­
nori, vt æqualis moles emineat ſupra aquæ
deſcendentis ſuperficiem.
XCVIII
Idem ſolidum
vt extraba­
tur ex hu­
mido, plus
debet eleua­
ri in vaſę
maiori quam
in minori,
& plus a­
quæ deſcen­
dit in vaſe
maiori, quam
in minori.

Hæc veritas
infertur ex
contradicto­
ria hypothe­
ſi.
Sit enim primò aquæ in vaſe minori ſu­
perficies CD, in vaſe autem maiori OM:
deinde ita extrahatur vtrumque ſolidum, vt
æquales partes HE & VS emineant ſupra ſu­
perficiem, quam denuò acquiſiuit aqua de­
ſcendens in locum à ſolido eleuato relictum.

Dico maiorem eſſe eleuationem VK ſuprą
primam ſuperficiem OM, in vaſe maiori,
quàm ſit eleuatio AH ſupra primam ſuper­
ficiem CD in vaſe minori; ac proinde ſpa­
tium relictum NL maius eſſe ſpatio relicto

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