Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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dis Rom. antiqui, grauitas eſt exactè lib. 304
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& ſphæræ ſunt in triplicatâ Ratione diame
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trorum, ſphæra ſtannea ſemidiametrum ha
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bens pedalem, ac proinde diametrum bipe
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dalem, eſt octuplo grauior illâ, atque adeò
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lib, 2432. Atqui ſtannum ad argillam, eſt
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vt 592 2d 135, igitur & eandem Rationem
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habent æquales ſphæræ; ideoque ſi ſtannea
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ſphæra ſemidiametrum pedalem habens nu
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merat in grauitate libras 2432, argillaceą
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æqualis erit lib. (554 22/37). Hæc autem ad terræ
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globum eſt vt vnitas ad quartum illum ter
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minum continuè proportionalem in Ratione
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ſemidiametrorum. </
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<
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>Multiplicetur igitur quar
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tus ille terminus 8791.700747.414127.
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031000. per libras (554 22/37), & prodibit totius
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terræ grauitas, ſi ex merâ argillâ conſtaret,
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librarum 4.875829.711809.132072.
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(327567 21/37). </
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XXV
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Terreni glo
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bi grauitas.
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Gal.
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<
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> Immenſum places, Merſenne: lu
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culentiſsimè enim demonſtraſti quatuor illis
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aut ſex ſupra centum orbiculis, de quibus
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heri nobis ſermo erat, tellurem totam facil
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limè moueri poſſe, etiam ſi eius grauitati
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quingenties millies millena librarum mil
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lia adiiceres. </
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Guld.
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<
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> Ita planè, ſi mera eſſet argilla: ſed
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tot marmora ac lapides, ingentesque metal</
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