Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

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              <s id="s.000583">
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              ſecunda non attollitur duplum, ex tertia triplum, &c.
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              </s>
              <s id="s.000584">ſed res ſemper ita decreſcit, vt ex tribus ſolùm pri­
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              mam conſequentibus eleuetur tantumdem, ex quin­
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              que aliis rursùs tantumdem, ex ſeptem aliis ſimili­
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              ter, ac rutſus ex nouem, & ita deinceps. </s>
              <s id="s.000585">Deducitur
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              prætereà ex increſcente numero diametrorum, & de­
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              creſcente numero additorum ponderum, perueniri
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              demùm ad æqualitatem; ita ſcilicet, vt ſit diametro­
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              rum, ponderumque numerus par, quo ſuperato ſit
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              deinceps minor ponderum, maior diametrorum. </s>
              <s id="s.000586">Et
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              quia talis numerus incipiendo v. c. à duodecima vſ­
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              que parte diametri, è qua fuere duæ vnciæ eleuatæ,
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              reperitur eſſe proximè quinquaginta; & incipiendo à
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              diametro integra, è qua eleuari viſæ ſunt vnciæ ſep­
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              tem cum quadrante, reperitur eſſe itidem quinqua­
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              ginta: idcircò videmur poſſe dicere, ſi dimittatur
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              globus vnam pendens vnciam, ex altitudine diame­
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              trorum ſuarum quinquaginta, fore vt parem nume­
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              rum vnciarum attollat; tametſi citra hunc numerum,
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              ſit diametrorum numerus minor, vltrà maior nu­
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              mero vnciarum. </s>
              <s id="s.000587">Vides igitur contingere poſſe, vt
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              aliquo caſu diametrorum numerus ponderum nume­
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              ro exæquetur; neque licere tamen inferre eſſe vbi­
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              que diametrorum numerum numero ponderum
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              æqualem. </s>
              <s id="s.000588">Ac ſi res quidem tibi contigiſſet circiter
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              quinquageſimam, aut ſexageſimam diametrum, foret
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              mihi, vt vides, reſponſio in promptu; quandò verò
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              numerus iſtum ſuperat duplò circiter; ac is eſt aliunde,
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              è quo eleuari non debuerint, niſi vnciæ ſeptuaginta
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              quatuor; vnde exceſſus eſt circiter trientis: idcircò par </s>
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