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

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            <subchap1 type="preface">
              <subchap2 type="preface">
                <p type="main">
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                  in temporibus, & motibus sensibilibus res di­
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                  verse se habet, ubi cognosci nequit motus
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                  pars aliqua, nec tempus in quo conficiatur,
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                  quin iam sint plures temporis peractae portio­
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                  nes, ei aequales, in qua fuit motus ab impetu non
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                  adiutus; cui tempori si plures aequales subse­
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                  quantur, motus in eis, seu motus portiones,
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                  portionibus temporum, iuxta numerorum im­
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                  parium progressionem fere respondebunt.
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                <p type="foot">
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                  1 Actum est de scientia motus naturalis.</s>
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                  2 Modo perquirendae causae.</s>
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                  3 Ut supra respectu gravitatis factum fuit.</s>
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                  4 Natura igitur motus investiganda.</s>
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                  5 Iam quaesiveram causam accel.</s>
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                  6 At non proportionem.</s>
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                  7 Reperta iuxta progressionem numerorum imparium. Quaesivi causam.</s>
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                  8 Repertus motus ab impetu aequabilis.</s>
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                  10 Natura utitur principijs simplicibus.</s>
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                  11 Unde visum ex simplici mobilis proprietate emanandas caeteras.</s>
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                  12 Quae sit motum ex se continuari.</s>
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                  13 Quia mobilia indiferenter se habeant, ad motum & quietem.</s>
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                  14 Huiusmodi continuationem non est nova entitas.</s>
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                  15 At ut nova concipitur. Dicitur & impetus.</s>
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                  16 Huiusmodi indiferentiam esse mobili naturalem.</s>
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                  17 Probatur per dictam naturalem motus continuationem.</s>
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                  18 Ex quo caeterae motus passiones.</s>
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                  19 Absque quo quid oriatur aut pereat.</s>
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                  20 Unde dum mobile impellitur motus augetur.</s>
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                  21 Et quo longius, ictus validior.</s>
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                  22 At motus debilior. Si resistentia maior motus tardior.</s>
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                  23 Et tandem deficit.</s>
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                  24 Patet experimento mallei.</s>
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                  25 Expulsum moveri perseverat.</s>
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                  26 Si quid urgeat aut retundat, variatur velocitas.</s>
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                  27 Et talis perseverat.</s>
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                  28 Si murum permeet remittitur.</s>
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                  29 Si perseveret, velocitas minuitur.</s>
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                  30 Idem etiam per morulam.</s>
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                  31 Ut in ludo mallei.</s>
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                  32 Unde pilae resilitio.</s>
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                  33 Si oblique feriat, oblique resilit.</s>
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                  34 Pila celerior instrumento expellente.</s>
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                  35 Et eo magis reticulo expulsa.</s>
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                  36 Vertigo durat.</s>
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                  37 Unde motus localis.</s>
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                  38 Pila digito compressa acquirit duplicem motum.</s>
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                  39 Ex quo trochulum retrocedere videtur.</s>
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                  40 Motus est a minimo motore.</s>
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                  41 Objectio prima non dari primam motus portionem sine impetu.</s>
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                  42 Responditur etiam si adsit impetus prima motus portio est ab eo independens.</s>
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                  43 Objectio 2. motum non augeri iuxta progressionem naturalem.</s>
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                  44 Responditur quod motus augetur iuxta progressionem naturalem per tempora insensibilia.</s>
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                  45 At per sensibilia fere iuxta progressionem numerorum imparium.</s>
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                <p type="main">
                  <s id="s.000829">Quod ut planius fiat, Moveatur mobile A ab
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                  A in B sensibiliter, & tempore sensibili ab,
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                  cui subsequantur aequalia tempora bc, cd, &
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                  primum tempus ab intelligatur divisum in por­
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                  tiones minimas aequales, in quarum priori a
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                  e, latum fuerit mobile ab A in E independen­
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                  ter ab impetu, qui in puncto E motui con­
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                  currere incipiat; has portiones patet esse eo
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                  plures quo minores; sint decem, & mobile fe­
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                  ratur temporibus ab, bc, cd, per spatia AB,
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                  BC, CD; erunt portiones aequales portioni
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                  AE in AB 55, in BC 155, in CD 255, inter
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                  se ut 11, 31, 51. Si vero portio temporis ae
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                  sit adhuc minor, cui aequales sint in ab cen­
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                  tum, portiones spatij aequales portioni AE</s>
                </p>
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            </subchap1>
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