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

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1tribuendum exiſtimem̨.
Guld. Qúæ ſentis, approbo; immenſæ

ſiquidem illæ altitudines & abyſſi aquarum
rariſſimæ ſunt, quæ bolide nullâ explorari
poſſint.
Idcircò libentiùs vniuersè altitu­
dinem ſolùm dodrantalem aquis tribuo, mil­
liari aſſumpto pro aſſe.
Iam, ſi placet,
aquæ grauitatem ad calculos reuocemus, &
globi perimetrum accipiamus, quam olim
Merſennus, nobis non repugnantibus, con­
ſtituebat mill. Rom. ant.
25941. Perime­
tro conſtitutâ, diametrum ſic inquiro ex ra­
tionibus Vietæ: Vt 31415.926536 ad
10000.000000, ita maximi circuli periphe­
ria mill. 25941 ad diametrum mill. 8257­
paſſ.
276. Igitur ſi diameter in peripheriam
ducatur, producetur ſphærica ſuperficies
mill. quadrat.
214.201996. paſſ. quad.
716000: Huius autem ſemiſsis mill. 107.
100998. paſſ.
358000. erit ſuperficies a­
quæ.
LXIV
Totius a­
quæ quanti­
tas, & gra­
uitas inqui­
ritur.
Et vt breuitati ſeruiam, duco inuentam
aquæ ſuperficiem in altitudinem conſtitutam
mill.3/4: ne ſcilicet longioribus ambagibus in
quiram totius globi ſoliditatem.
Deinde in­
ſtitutâ analogiâ, vt cubus diametri inuentæ
ad cubum eiuſdem diametri mulctatæ dodran­
te milliaris, ita ſoliditas ſphæræ ex inuenta dia­

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