Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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dere; & quia videtur
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conformitas
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idem ſonare, quod
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proportio,
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confundere quoque cum
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proportione vnifor
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mitatem:
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cùm videatur tamen
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Vniformitas
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relatio eſſe
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identitatis, ob vnum, eundemque tenorem, in vna,
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atque eademre;
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Proportio
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autem eſſe potiùs ſimilitu
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dinis relatio, quæ in rebus alioquin diuerſis, ſiue diſſi
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tis reperiatur. </
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<
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">Ex hoc quippe eſt, cur dicatur inter
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fontem, & radicem, non
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vniformitas,
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ſed
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proportio
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eſ
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ſe: & in colore pennarum cycni, non
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proportio,
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ſed
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vniformitas:
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ac eodem ex capite eſt, cur in progreſſio
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ne Geometrica rationem vnius ad quàtuor, quatuor ad
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ſexdecim, ſexdecim ad ſexaginta quatuor, dicamus
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eſſe
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proportionem,
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non verò vniformitatem; & in pro
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greſſione Arithmetica vnius duorum, trium, quatuor,
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vel duorum, quatuor, ſex, octo; vel trium ſex, nouem,
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duodecim, &c.
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vniformitatem
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eſſe, & non
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proportionem
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dicamus. </
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<
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">Heinc igitur eſt, quorsùm videar non iniu
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riâ ſupponere accelerationem motus, vt
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vniformis,
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ſeu
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æquabilis ſit, debere Arithmetica progreſſione ince
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dere, & ea quidem ſecundum impareis ab vnitate nu
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meros, putà vnum, tria, quinque, ſeptem, &c. </
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pta; cùm tu, licet Geometricarum ſim pliciſſimam, du
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plam nempe, elegeris reperire in ea vniformitatem,
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ſeu æquabilitatem non poſſis: &, ſi reperire velis ali
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quam, Arithmeticam vſurpare cogaris, eam nempe,
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quæ ſecundum vnitates eſt, veluti dum ais gradus ve
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locitatis ſic acquiri, vt ſint in fine primi ſpatij vnus, in
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ſine ſecundi duo, in fine tertij tres, &c. </
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<
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autem dicas definitionem, de qua agitur,
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veram, per
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fectamque non probari, quòd ea ratione concepta ſit, qua
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