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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 177 > >|
    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <subchap1 type="preface">
              <subchap2 type="preface">
                <p type="main">
                  <s id="s.000784">
                    <pb xlink:href="064/01/111.jpg"/>
                  in temporibus, & motibus sensibilibus res di­
                    <lb/>
                  verse se habet, ubi cognosci nequit motus
                    <lb/>
                  pars aliqua, nec tempus in quo conficiatur,
                    <lb/>
                  quin iam sint plures temporis peractae portio­
                    <lb/>
                  nes, ei aequales, in qua fuit motus ab impetu non
                    <lb/>
                  adiutus; cui tempori si plures aequales subse­
                    <lb/>
                  quantur, motus in eis, seu motus portiones,
                    <lb/>
                  portionibus temporum, iuxta numerorum im­
                    <lb/>
                  parium progressionem fere respondebunt.
                    <figure id="id.064.01.111.1.jpg" xlink:href="064/01/111/1.jpg" number="59"/>
                  </s>
                </p>
                <p type="foot">
                  <s id="s.000785">
                    <foot.target id="foot.1"/>
                  1 Actum est de scientia motus naturalis.</s>
                </p>
                <p type="foot">
                  <s id="s.000786">
                    <foot.target id="foot.2"/>
                  2 Modo perquirendae causae.</s>
                </p>
                <p type="foot">
                  <s id="s.000787">
                    <foot.target id="foot.3"/>
                  3 Ut supra respectu gravitatis factum fuit.</s>
                </p>
                <p type="foot">
                  <s id="s.000788">
                    <foot.target id="foot.4"/>
                  4 Natura igitur motus investiganda.</s>
                </p>
                <p type="foot">
                  <s id="s.000789">
                    <foot.target id="foot.5"/>
                  5 Iam quaesiveram causam accel.</s>
                </p>
                <p type="foot">
                  <s id="s.000790">
                    <foot.target id="foot.6"/>
                  6 At non proportionem.</s>
                </p>
                <p type="foot">
                  <s id="s.000791">
                    <foot.target id="foot.7"/>
                  7 Reperta iuxta progressionem numerorum imparium. Quaesivi causam.</s>
                </p>
                <p type="foot">
                  <s id="s.000792">
                    <foot.target id="foot.8"/>
                  8 Repertus motus ab impetu aequabilis.</s>
                </p>
                <p type="foot">
                  <s id="s.000793">
                    <foot.target id="foot.9"/>
                  10 Natura utitur principijs simplicibus.</s>
                </p>
                <p type="foot">
                  <s id="s.000794">
                    <foot.target id="foot.10"/>
                  11 Unde visum ex simplici mobilis proprietate emanandas caeteras.</s>
                </p>
                <p type="foot">
                  <s id="s.000795">
                    <foot.target id="foot.11"/>
                  12 Quae sit motum ex se continuari.</s>
                </p>
                <p type="foot">
                  <s id="s.000796">
                    <foot.target id="foot.12"/>
                  13 Quia mobilia indiferenter se habeant, ad motum & quietem.</s>
                </p>
                <p type="foot">
                  <s id="s.000797">
                    <foot.target id="foot.13"/>
                  14 Huiusmodi continuationem non est nova entitas.</s>
                </p>
                <p type="foot">
                  <s id="s.000798">
                    <foot.target id="foot.14"/>
                  15 At ut nova concipitur. Dicitur & impetus.</s>
                </p>
                <p type="foot">
                  <s id="s.000799">
                    <foot.target id="foot.15"/>
                  16 Huiusmodi indiferentiam esse mobili naturalem.</s>
                </p>
                <p type="foot">
                  <s id="s.000800">
                    <foot.target id="foot.16"/>
                  17 Probatur per dictam naturalem motus continuationem.</s>
                </p>
                <p type="foot">
                  <s id="s.000801">
                    <foot.target id="foot.17"/>
                  18 Ex quo caeterae motus passiones.</s>
                </p>
                <p type="foot">
                  <s id="s.000802">
                    <foot.target id="foot.18"/>
                  19 Absque quo quid oriatur aut pereat.</s>
                </p>
                <p type="foot">
                  <s id="s.000803">
                    <foot.target id="foot.19"/>
                  20 Unde dum mobile impellitur motus augetur.</s>
                </p>
                <p type="foot">
                  <s id="s.000804">
                    <foot.target id="foot.20"/>
                  21 Et quo longius, ictus validior.</s>
                </p>
                <p type="foot">
                  <s id="s.000805">
                    <foot.target id="foot.21"/>
                  22 At motus debilior. Si resistentia maior motus tardior.</s>
                </p>
                <p type="foot">
                  <s id="s.000806">
                    <foot.target id="foot.22"/>
                  23 Et tandem deficit.</s>
                </p>
                <p type="foot">
                  <s id="s.000807">
                    <foot.target id="foot.23"/>
                  24 Patet experimento mallei.</s>
                </p>
                <p type="foot">
                  <s id="s.000808">
                    <foot.target id="foot.24"/>
                  25 Expulsum moveri perseverat.</s>
                </p>
                <p type="foot">
                  <s id="s.000809">
                    <foot.target id="foot.25"/>
                  26 Si quid urgeat aut retundat, variatur velocitas.</s>
                </p>
                <p type="foot">
                  <s id="s.000810">
                    <foot.target id="foot.26"/>
                  27 Et talis perseverat.</s>
                </p>
                <p type="foot">
                  <s id="s.000811">
                    <foot.target id="foot.27"/>
                  28 Si murum permeet remittitur.</s>
                </p>
                <p type="foot">
                  <s id="s.000812">
                    <foot.target id="foot.28"/>
                  29 Si perseveret, velocitas minuitur.</s>
                </p>
                <p type="foot">
                  <s id="s.000813">
                    <foot.target id="foot.29"/>
                  30 Idem etiam per morulam.</s>
                </p>
                <p type="foot">
                  <s id="s.000814">
                    <foot.target id="foot.30"/>
                  31 Ut in ludo mallei.</s>
                </p>
                <p type="foot">
                  <s id="s.000815">
                    <foot.target id="foot.31"/>
                  32 Unde pilae resilitio.</s>
                </p>
                <p type="foot">
                  <s id="s.000816">
                    <foot.target id="foot.32"/>
                  33 Si oblique feriat, oblique resilit.</s>
                </p>
                <p type="foot">
                  <s id="s.000817">
                    <foot.target id="foot.33"/>
                  34 Pila celerior instrumento expellente.</s>
                </p>
                <p type="foot">
                  <s id="s.000818">
                    <foot.target id="foot.34"/>
                  35 Et eo magis reticulo expulsa.</s>
                </p>
                <p type="foot">
                  <s id="s.000819">
                    <foot.target id="foot.35"/>
                  36 Vertigo durat.</s>
                </p>
                <p type="foot">
                  <s id="s.000820">
                    <foot.target id="foot.36"/>
                  37 Unde motus localis.</s>
                </p>
                <p type="foot">
                  <s id="s.000821">
                    <foot.target id="foot.37"/>
                  38 Pila digito compressa acquirit duplicem motum.</s>
                </p>
                <p type="foot">
                  <s id="s.000822">
                    <foot.target id="foot.38"/>
                  39 Ex quo trochulum retrocedere videtur.</s>
                </p>
                <p type="foot">
                  <s id="s.000823">
                    <foot.target id="foot.39"/>
                  40 Motus est a minimo motore.</s>
                </p>
                <p type="foot">
                  <s id="s.000824">
                    <foot.target id="foot.40"/>
                  41 Objectio prima non dari primam motus portionem sine impetu.</s>
                </p>
                <p type="foot">
                  <s id="s.000825">
                    <foot.target id="foot.41"/>
                  42 Responditur etiam si adsit impetus prima motus portio est ab eo independens.</s>
                </p>
                <p type="foot">
                  <s id="s.000826">
                    <foot.target id="foot.42"/>
                  43 Objectio 2. motum non augeri iuxta progressionem naturalem.</s>
                </p>
                <p type="foot">
                  <s id="s.000827">
                    <foot.target id="foot.43"/>
                  44 Responditur quod motus augetur iuxta progressionem naturalem per tempora insensibilia.</s>
                </p>
                <p type="foot">
                  <s id="s.000828">
                    <foot.target id="foot.44"/>
                  45 At per sensibilia fere iuxta progressionem numerorum imparium.</s>
                </p>
                <p type="main">
                  <s id="s.000829">Quod ut planius fiat, Moveatur mobile A ab
                    <lb/>
                  A in B sensibiliter, & tempore sensibili ab,
                    <lb/>
                  cui subsequantur aequalia tempora bc, cd, &
                    <lb/>
                  primum tempus ab intelligatur divisum in por­
                    <lb/>
                  tiones minimas aequales, in quarum priori a
                    <lb/>
                  e, latum fuerit mobile ab A in E independen­
                    <lb/>
                  ter ab impetu, qui in puncto E motui con­
                    <lb/>
                  currere incipiat; has portiones patet esse eo
                    <lb/>
                  plures quo minores; sint decem, & mobile fe­
                    <lb/>
                  ratur temporibus ab, bc, cd, per spatia AB,
                    <lb/>
                  BC, CD; erunt portiones aequales portioni
                    <lb/>
                  AE in AB 55, in BC 155, in CD 255, inter
                    <lb/>
                  se ut 11, 31, 51. Si vero portio temporis ae
                    <lb/>
                  sit adhuc minor, cui aequales sint in ab cen­
                    <lb/>
                  tum, portiones spatij aequales portioni AE</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum