Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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translato perficeretur in certâ ab vniuerſi
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centro diſtantiâ, inueſtigare oporteret, cuius
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in ſphæræ ſuperficiem ſe data aquæ moles
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diſponeret in vtroque motûs termino, vt in
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de colligeretur, quantum terræ ex aquis iņ
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motu illo emerſiſſet. </
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Guld.
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> Abſtineamus nunc, ſi placet, ab
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hoc labore: quamuis datâ ſectione lunulari,
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& inuentis dimidiæ ſectionis centro grauita
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tis, ac viâ rotationis, poſſemus ſoliditatem
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Meniſcoidis ſphærici inuenire; ſatis nunc
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nobis eſſe puto inquirere; quantam in alti
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tudinem ſuſtolli terram oporteret, vt nul
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lum amplius ſubſidium afferret aqua circum
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fuſa minuens terræ grauitatem. </
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Gal.
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<
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roſa. </
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<
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>Inuenire ſcilicet oportet ſemidiame
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rum ſphæræ, quam ſola aqua conſtitueret;
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& huic addere ſemidiametrum terræ; hæc
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enim eſſet ea centri terræ atque centri vni
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uerſi diſtantia, in qua nihil terræ intrà aquam
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eſſet. </
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<
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>Vt autem ſphæræ, quam aqua effi
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ceret, ſemidiametrum habeamus; cum data
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ſit aquæ ſoliditas, quam ſuperius poſuimus,
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fiat vt 11 ad 21, ita data ſphæræ aqueæ ſo
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liditas paſſ. </
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<
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<
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>80325. 748768. 500000,
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ad aliud, & prouenit 153349. 156739.
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863636. cubus diametri minoris verâ. </
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