Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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unde quo plures temporum portiones, spatia
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ad duplicatam rationem magis accedunt. </
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autem datis temporibus, facile spatia peracta
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reperiant, qui parum in arithmeticis progres
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sionibus versati sunt, duc numerum tempo
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rum, si sit par, in medietatem, & adde medie
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tatem, si impar, in portionem maiorem medie
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tatis, & prodibit summa spatiorum in dato tem
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pore peractorum. </
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2 producto 8 adde medietatem 2, sit 10 sum
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ma spatiorum. </
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productum 45 est summa spatiorum. </
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tur
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igitur, ni fallor, motus iuxta progressionem
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arithmeticam, non numerorum imparium ab
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unitate huc usque creditam, sed naturalem; at
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nihilominus, cum fere ijdem effectus subse
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quantur, ob insensibilem discrepantiam; mi
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randum non est, creditum fuisse spatia esse in
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duplicata ratione temporum; quandoquidem
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etiam si verum precise fortasse non sit, est
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attamen adeo veritati proximum, ut verita
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tem in adhibitis experimentis sensus percipe
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re nequiverit, quamobrem excusandi sunt
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quicunque ita censuerunt. </
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veritatem delitescentem detexisse spero, cau
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sam nimirum a qua huiusmodi proportio ema
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nat aperuisse, & insuper quales errores fue
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rint in suppositionibus, & experimentis huc</
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