Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

< >
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N270EE">
            <p id="N28D24" type="main">
              <s id="N28D40">
                <pb pagenum="410" xlink:href="026/01/444.jpg"/>
              tiò, aliquando primæ tantùm ſuperficies extenduntur, vt videmus in
                <lb/>
              capite, ſeu baſi cuneorum; quia materies durior multùm reſiſtit. </s>
              <s id="N28D4B">Quartò,
                <lb/>
              limbus baſis dilatatæ contrahitur deinde, ſeu retorquetur deorſum; </s>
              <s id="N28D51">quia
                <lb/>
              cùm interiores circuli dilatentur, deberet facere limbus ille maiorem
                <lb/>
              circulum; quod cùm fieri non poſſit, contrahitur ſeu incuruatur deor­
                <lb/>
              ſum, quod facilè ſine figura intelligi poteſt. </s>
              <s id="N28D5B">Quintò, poteſt deter­
                <lb/>
              minari proportio ictuum, quibus deprimuntur cylindri; </s>
              <s id="N28D61">ſi enim ſup­
                <lb/>
              ponatur eadem altitudo, ſeu linea depreſſionis, & diuerſa craſſi­
                <lb/>
              tudo cylindrorum ictus, erunt vt baſes; </s>
              <s id="N28D69">nam quò plures partes de­
                <lb/>
              primendæ ſunt, maiore ictu opus eſt, ſi opponatur eadem craſſitudo
                <lb/>
              vtriuſque cylindri ſed diuerſa depreſſionis linea vel altitudo, ictus
                <lb/>
              erunt vt altitudines; </s>
              <s id="N28D73">ſi vtraque ſupponitur diuerſa, ictus erunt in ra­
                <lb/>
              tione compoſita ex ratione baſium, & altitudinum; quæ omnia conſtant
                <lb/>
              ex dictis. </s>
            </p>
            <p id="N28D7B" type="main">
              <s id="N28D7D">Obſeruabis tamen creſcere reſiſtentiam ex duplici capite. </s>
              <s id="N28D80">Primò,
                <lb/>
              ex eo quod aliquæ vacuitates occupentur à partibus depreſſis, ac proin­
                <lb/>
              de cylindrus induretur; ſic intus durior euadit ſub malleo, & & pila
                <lb/>
              lignea ſub ictibus. </s>
              <s id="N28D8A">Secundò, latiorem illam ſuperficiem impedire di­
                <lb/>
              latationem aliarum partium: </s>
              <s id="N28D90">hinc variè diſcerpitur eius limbus, vt
                <lb/>
              videre eſt in cuneo ferreo: </s>
              <s id="N28D96">atqui in explicandis ſuprà ictuum propor­
                <lb/>
              tionibus, hoc geminum reſiſtentiæ caput nullo modo conſiderauimus: </s>
              <s id="N28D9C">
                <lb/>
              ſextò, quærunt aliqui dato ictu, quo deprimitur cylindrus data alti­
                <lb/>
              tudine, quantum pondus eſſe debeat, quod ſua grauitatione eum­
                <lb/>
              dem præſtet effectum; ſed profectò id nemo vnquam determinauit,
                <lb/>
              niſi primò inueniat pondus, cuius caſu prædictus cylindrus eodem
                <lb/>
              modo deprimatur. </s>
              <s id="N28DA9">Secundò, niſi ſciat quot inſtantibus deſcendat, vt
                <lb/>
              patet ex his quæ diximus ſuprà; vt autem comparetur ictus inflictus
                <lb/>
              à brachio cum ictu inflicto à pondere cadente, debet conſuli diuerſa
                <lb/>
              depreſſio, vel defixio. </s>
            </p>
            <p id="N28DB3" type="main">
              <s id="N28DB5">Vigeſimoqnartò, corpus cadens in planum horizontale per lineam
                <lb/>
              perpendicularem, maximum ictum infligit: </s>
              <s id="N28DBB">maiorem, cum cadit in pla­
                <lb/>
              num decliue, quod manifeſtum eſt; </s>
              <s id="N28DC1">poteſt autem determinari propor­
                <lb/>
              tio ictuum ratione planorum; </s>
              <s id="N28DC7">ſit enim perpendicularis KN cadens in
                <lb/>
              planum horizontale AD, erit maximus ictus; </s>
              <s id="N28DCD">ſit vt AD; </s>
              <s id="N28DD1">fiat quadrans
                <lb/>
              ADG: </s>
              <s id="N28DD7">ſit planum decliue AE, in quod cadit KM; </s>
              <s id="N28DDB">ducatur EC vel
                <lb/>
              EI; </s>
              <s id="N28DE1">primus ictus eſt ad ſecundum, vt AD ad AC vel IE; </s>
              <s id="N28DE5">ſit aliud
                <lb/>
              planum decliue AF, in quod cadit KN; </s>
              <s id="N28DEB">ducantur FBFH, primus eſt
                <lb/>
              ad tertium, vt AD ad AB; patet ex dictis ſuprà, cum de planis in­
                <lb/>
              clinatis. </s>
            </p>
            <p id="N28DF3" type="main">
              <s id="N28DF5">Vigeſimoquintò, ſi verò cadat corpus graue in globum, aſſumenda eſt
                <lb/>
              Tangens puncti contactus v. g. ſit globus centro A ſit corpus cadens
                <lb/>
              per FD; </s>
              <s id="N28E01">ſit punctum contactus D; </s>
              <s id="N28E05">ſit Tangens CE; </s>
              <s id="N28E09">idem eſt ictus,
                <lb/>
              qui eſſet, ſi corpus graue caderet in planum inclinatum CE; </s>
              <s id="N28E0F">ſi verò
                <lb/>
              globus cadat in aliud corpus v. g. globus A in corpus HG
                <lb/>
              per lineam RG; </s>
              <s id="N28E1B">ducatur AG, tùm GS, ictus in G eſt ad ictum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>