Baliani, Giovanni Battista
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De motv natvrali gravivm solidorvm et liqvidorvm
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nis, quantitates aquarum decursarum sunt
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inter se ut foramina.
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">In vase AB dentur foramina orizontalia aeque
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alta C minus, D vero maius.</
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decursam per D, quae sit F, ut foramen C ad foramen D.</
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">Longitudinum C, & D commensurabilium,
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sit G communis mensura, & secentur lon
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gitudines C, D in partes, quae sint aequales ipsi
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G, quibus divisis a perpendicularibus, producan
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tur tot foramina, quot sunt dictae partes.</
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Per pr. pet.</
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">Quoniam huiusmodi foramina erunt inter se
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aequalia
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. Ex eis effluent quantitates aquae
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aequales
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<
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tot sunt quantitates aquarum in E, F. </
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sunt quatuor quantitates C, D, E, F, quarum
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prima, C, est ad E, 2., ut D, 3., ad F, 4.; & per
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mutando erit C ad D ut E ad F
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Per 36. primi.</
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Per primum huius.</
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Per 16. quinti.</
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<
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">Dices, quod fieri potest quod longitudines C, D,
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non sint commensurabiles, nec proinde G sit eo
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rum communis mensura: sed hic non sumus in
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Mathematicis, sed in physicis, ubi non habetur
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ratio insensibilium.</
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