Fabri, Honoré, Tractatus physicus de motu locali, 1646

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 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1137F">
            <p id="N12DAD" type="main">
              <s id="N12DC3">
                <pb pagenum="28" xlink:href="026/01/060.jpg"/>
              in qualibet parte minoris, quot ſunt in qualibet parte minoris; </s>
              <s id="N12DCC">haud
                <lb/>
              dubiè impetus maioris habet eandem rationem ad impetum minoris;
                <lb/>
              quam habet maius ad minus. </s>
            </p>
            <p id="N12DD4" type="main">
              <s id="N12DD6">
                <emph type="center"/>
                <emph type="italics"/>
              Collorarium
                <emph.end type="italics"/>
              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12DE3" type="main">
              <s id="N12DE5">Hinc quoque ducitur manifeſta ratio ſeu reſponſio ad illud præcla­
                <lb/>
              rum certè quorundam philoſophorum
                <expan abbr="commẽtum">commentum</expan>
              , qui volunt ex mini­
                <lb/>
              ma ponderis acceſſione totam terræ molem inclinari, vt in nouo æqui­
                <lb/>
              librio ſtatuatur; quod omninò falſum eſt; </s>
              <s id="N12DF3">nam ex ſuppotione quòd
                <lb/>
              terra non grauitet (vt vulgò dicitur, & aliàs à nobis
                <expan abbr="demõſtrabitur">demonſtrabitur</expan>
              ) illa
                <lb/>
              certè moueri non poteſt niſi producantur tot partes impetus quot ſunt
                <lb/>
              partes ſubiecti in tota terra; quæ certè maximas
                <expan abbr="potẽtiæ">potentiæ</expan>
              vires poſtulant. </s>
            </p>
            <p id="N12E05" type="main">
              <s id="N12E07">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              34.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12E13" type="main">
              <s id="N12E15">
                <emph type="italics"/>
              Primo inſtanti, quo est impetus, non est ille motus, cuius hic impetus eſt
                <lb/>
              cauſa.
                <emph.end type="italics"/>
              </s>
              <s id="N12E1E"> Probatur; </s>
              <s id="N12E21">quia non poteſt eſſe motus, niſi ſit locus prior reli­
                <lb/>
              ctus, & nouus acquiſitus, igitur ſi eodem inſtanti, quo eſt impetus,
                <lb/>
              haberet motum, eodem inſtanti eſſet in duobus locis, quod dici non
                <lb/>
              poteſt; & iam diximus in Th. 26. igitur impetus primo inſtanti quo
                <lb/>
              eſt non habet ſuum motum. </s>
            </p>
            <p id="N12E2D" type="main">
              <s id="N12E2F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              35.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12E3B" type="main">
              <s id="N12E3D">
                <emph type="italics"/>
              Immò nihil eſt, quod primo inſtanti, quo eſt, moueri poſſit.
                <emph.end type="italics"/>
              </s>
              <s id="N12E44"> Quia non poteſt
                <lb/>
              moueri, niſi acquirat nouum locum, & priorem relinquat; </s>
              <s id="N12E4A">igitur, vel ſi­
                <lb/>
              mul in vtroque eſt, quod dici non poteſt; </s>
              <s id="N12E50">vel in relicto antè fuit; igitur
                <lb/>
              non eſt primum inſtans, contra ſuppoſitionem. </s>
            </p>
            <p id="N12E56" type="main">
              <s id="N12E58">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              36.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12E64" type="main">
              <s id="N12E66">
                <emph type="italics"/>
              Potest impetus aliquo inſtanti non moueri quo mouetur ipſum mobile, in
                <lb/>
              quo est.
                <emph.end type="italics"/>
              </s>
              <s id="N12E6F"> Nam moueatur mobile quodlibet; </s>
              <s id="N12E73">& dum mouetur, impella­
                <lb/>
              tur, factâ ſcilicet acceſſione noui impetus; haud dubiè hoc primo in­
                <lb/>
              ſtanti, quo producitur impetus in dato mobili non mouetur per Th.
                <lb/>
              35. quo tamen inſtanti mouetur prædictum mobile. </s>
            </p>
            <p id="N12E7E" type="main">
              <s id="N12E80">
                <emph type="center"/>
                <emph type="italics"/>
              Collorarium
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12E8D" type="main">
              <s id="N12E8F">Hinc egregium paradoxon;
                <emph type="italics"/>
              Poteſt alique inſtanti moueri ſubiectum, licèt
                <lb/>
              non moueantur illa omnia, que eidem ſubiecto reuerâ inſunt.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12E9A" type="main">
              <s id="N12E9C">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12EA9" type="main">
              <s id="N12EAB">Hinc etiam aliud paradoxon; </s>
              <s id="N12EAF">
                <emph type="italics"/>
              Impetus primo inſtanti, quo eſt, non habet
                <lb/>
              ſuum finem, nec habere poteſt
                <emph.end type="italics"/>
              ; patet, quia primo inſtanti non habet
                <expan abbr="motũ">motum</expan>
              . </s>
            </p>
            <p id="N12EBE" type="main">
              <s id="N12EC0">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12ECD" type="main">
              <s id="N12ECF">Hinc poteſt aliquid dato inſtanti carere ſuo fine; </s>
              <s id="N12ED3">licèt non ſit fruſtrà;
                <lb/>
              fruſtrâ enim tantùm dicitur ille impetus, qui pro inſtanti ſequenti
                <lb/>
              non poteſt habere motum. </s>
            </p>
            <p id="N12EDB" type="main">
              <s id="N12EDD">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              37.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N12EE9" type="main">
              <s id="N12EEB">
                <emph type="italics"/>
              Impetus pars recepta in parte ſubiecti non exigit motum aliarum partium
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum