Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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ac minorem ſphæram ſe conformaret, ra
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tionem haberet vaſis minoris & minoris;
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atque adeò aqua magis & magis deprimere
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tur, etiam datâ æquali terræ eleuationę. </
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Sint enim duo vaſa ſimilia ſed inæqualia, in
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quibus ſint duo corpora ſimilia & æqualią
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AB in minori, & KL in maiori ſimiliter po
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ſita: & ſit continua ſolidorum immerſorum
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& aquæ circumfuſæ ſuperficies. </
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<
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>Extrahatur
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ex aquâ vtrumque ſolidum pari velocitatę;
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vtique citiùs emerget omninò illud, quod
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eſt in minori vaſe, quàm quod eſt in maiori;
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& multò plus aquæ deſcendere debet in ma
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iori quàm in minori, ac proinde plus eleuari
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debet ſolidum in maiori vaſe, quàm in mi
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nori, vt æqualis moles emineat ſupra aquæ
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deſcendentis ſuperficiem. </
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XCVIII
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Idem
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vt extraba
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tur ex hu
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mido, plus
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debet eleua
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ri in vaſę
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maiori
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in minori,
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& plus a
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quæ deſcen
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dit in vaſe
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maiori,
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in minori. </
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Hæc veritas
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infertur ex
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contradicto
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ria hypothe
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ſi.
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<
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>Sit enim primò aquæ in vaſe minori ſu
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perficies CD, in vaſe autem maiori OM:
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deinde ita extrahatur vtrumque ſolidum, vt
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æquales partes HE & VS emineant ſupra ſu
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perficiem, quam denuò acquiſiuit aqua de
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ſcendens in locum à ſolido eleuato relictum. </
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Dico maiorem eſſe eleuationem VK ſuprą
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primam ſuperficiem OM, in vaſe maiori,
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quàm ſit eleuatio AH ſupra primam ſuper
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ficiem CD in vaſe minori; ac proinde ſpa
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tium relictum NL maius eſſe ſpatio relicto </
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