Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1137F">
            <pb pagenum="37" xlink:href="026/01/069.jpg"/>
            <p id="N1370C" type="main">
              <s id="N1370E">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1371A" type="main">
              <s id="N1371C">Obſeruabis primò, ſingularem impetus proprietatem, quæ alijs qua­
                <lb/>
              litatibus minimè competit; </s>
              <s id="N13722">nam aliæ qualitates v. g. calor; </s>
              <s id="N1372A">lumen in
                <lb/>
              eadem diſtantia effectum ſemper æquè intenſum producunt; </s>
              <s id="N13730">ſecus verò
                <lb/>
              impetus, qui pro maiori vel minori obice maiorem, vel minorem, hoc
                <lb/>
              eſt intenſiorem, vel remiſſiorem impetum in eadem diſtantia producit; </s>
              <s id="N13738">
                <lb/>
              cuius ratio ex eo capite petitur; </s>
              <s id="N1373D">quòd impetus agat tantùm ad extra
                <lb/>
              propter ſuum effectum ad intra, vt ſcilicet tollat impedimentum; </s>
              <s id="N13743">igi­
                <lb/>
              tur in totum, quod impedit, agit; </s>
              <s id="N13749">igitur non habet certam, & deter­
                <lb/>
              minatam ſphæram; </s>
              <s id="N1374F">cum tantùm agat in obicem, ſiue ſit maior, ſiue
                <lb/>
              minor: </s>
              <s id="N13755">Quia verò eſt cauſa neceſſaria, æqualem effectum producit, id
                <lb/>
              eſt tot partes impetus in maiore, quot in minore, ergo, cum in mino­
                <lb/>
              re ſint pauciores partes ſubiecti, & plures in maiore; </s>
              <s id="N1375D">haud dubiè quæli­
                <lb/>
              bet pars minoris habebit plures partes effectus, & quælibet pars maio­
                <lb/>
              ris pauciores; igitur effectus erit intenſior in minore, & remiſſior in
                <lb/>
              maiore. </s>
            </p>
            <p id="N13767" type="main">
              <s id="N13769">Prætereà, cum dixi omnes partes mobilis actione communi agere ad
                <lb/>
              extra; </s>
              <s id="N1376F">ita primò intelligi debet, vt omnes illæ partes moueantur: </s>
              <s id="N13773">ſecun­
                <lb/>
              dò, vt linea motus, ſeu directionis per centra grauitatis vtriuſque glo­
                <lb/>
              bi v, g. ducatur; </s>
              <s id="N1377D">alioquin, vel omnes actione communi non agunt, vel
                <lb/>
              minus agunt, de quo infrà; </s>
              <s id="N13783">ſufficit verò iuxta præſens inſtitutum, vt
                <lb/>
              globus ita impellat alium vel æqualem, vel inæqualem, vt linea dire­
                <lb/>
              ctionis ducatur per centrum grauitatis alterius; vide figuram. </s>
              <s id="N1378B">in qua
                <lb/>
              linea directionis eſt DE. </s>
            </p>
            <p id="N13790" type="main">
              <s id="N13792">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              60.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1379E" type="main">
              <s id="N137A0">
                <emph type="italics"/>
              Impetus globi impacti in alium globum eo modo, quo diximus, id est, linea
                <lb/>
              directionis ducta per centra grauitatis vtriuſque producit in eo æqualem
                <emph.end type="italics"/>
              ; </s>
              <s id="N137AB">Pro­
                <lb/>
              batur, quia impetus eſt cauſa neceſſaria, quæ tunc agit quantum poteſt
                <lb/>
              per Th. 57. ſed æqualis poteſt producere æqualem: </s>
              <s id="N137B3">Probatur primò,
                <lb/>
              exemplo aliarum qualitatum; </s>
              <s id="N137B9">ſecundò, quia ideo agit vt tollat impedi­
                <lb/>
              mentum, hoc eſt vt corpus illud amoueat loco; </s>
              <s id="N137BF">igitur æquali motu per
                <lb/>
              ſe; </s>
              <s id="N137C5">alioquin niſi æquali motu amoueret, non tolleret impedimentum,
                <lb/>
              vt pater; </s>
              <s id="N137CB">tertiò ſint 30. partes impetus, certè vel producent plures vel
                <lb/>
              pauciores, vel totidem, non plures; </s>
              <s id="N137D1">cur enim potius 31. quam 32.
                <lb/>
              nec etiam pauciores; cur enim potius 20. quam 18, &c. </s>
              <s id="N137D7">Igitur totidem; </s>
              <s id="N137DB">
                <lb/>
              quia cum ſint plures numeri plurium partium ſupra 30. & pauciorum
                <lb/>
              infra vt patet; </s>
              <s id="N137E2">ſitque tantùm vnicus numerus æqualium; </s>
              <s id="N137E6">certè quod
                <lb/>
              vnum eſt, determinatum eſt, per Ax. 5. hæc ratio licèt videatur negati­
                <lb/>
              ua eſt tamen potentiſſima: </s>
              <s id="N137EE">quartò, quia actus ſecundus, reſpondet actui
                <lb/>
              primo, id eſt, effectus productus virtuti cauſæ producentis; </s>
              <s id="N137F4">itaque cum
                <lb/>
              virtus agendi impetus ſit eius entitas, vt patet, certè impetus productus
                <lb/>
              eſt per ſe æqualis impetui producenti per ſe; id eſt remoto omni
                <lb/>
              impedimento, & facto eo contactu iuxta modum prædictum, ea quo-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum