Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

Table of figures

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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. </s>
                  <s id="s.000830">Eadem
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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.</s>
                  <s id="s.000831">Si namque concipiamus impetum incipere
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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;</s>
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