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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