Baliani, Giovanni Battista
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De motv natvrali gravivm solidorvm et liqvidorvm
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erunt in AB 5050, in BC 15050, in CD
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25050, inter se ut 101, 301, 501, fere iuxta
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rationem numerorum imperium 1, 3, 5. Ex
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quibus constat, quod eo portiones spatiorum
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magis accedunt ad rationem numerorum impa
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rium, quo portio temporis, in qua motus est in
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dependenter ab impetu, minor est. </
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pror
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sus ratione probabitur, quo est itidem minor,
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spatia propius esse in duplicata ratione tem
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porum.</
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in b, tempora ab, ac, ad sunt ut 1, 2, 3, spatia
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vero AB, AC, AD, quae in duplicata ratione
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temporum essent ut 1, 4, 9, sunt ut 1, 3, 6, val
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de ab eis discrepantes: si vero tempora ab, ac,
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ad, intelligantur divisa in portiones, quarum
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ab, contineat decem, erunt temporum in
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ter se portiones, ut 10, 20, 30, seu ut prius ut
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1, 2, 3, at vero portiones spatiorum, quarum
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prior ut supra sit AE, erunt ut 55, 210, 455
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seu ut 11, 42, 93; si denique portiones tempo
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rum sint 100, 200, 300, portiones spatiorum erunt
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5050, 20100, 45150, ut 101, 402, 903, mi
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nimus, & insensibiliter discrepantes ab 1, 4, 9, &
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proinde fere in duplicata temporum ratione;</
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