Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

List of thumbnails

< >
41
41
42
42
43
43
44
44
45
45
46
46
47
47
48
48
49
49
50
50
< >
page |< < of 303 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1149E" type="main">
              <s id="N114EA">
                <pb pagenum="40" xlink:href="005/01/048.jpg"/>
                <emph type="italics"/>
              per enim ſupra diametrum erit. </s>
              <s id="N114F8">Manifeſtum igitur, quod id
                <lb/>
              quod ſecundum diametrum duabus fertur lationibus, neceſſa­
                <lb/>
              riò ſecundum laterum proportionem fertur. </s>
              <s id="N114FF">Si enim ſecun­
                <lb/>
              dum aliam quampiam, non fertur ſecundam diametrum.
                <lb/>
              </s>
              <s id="N11505">Si autem in nulla fertur proportione ſecundum duas lationes
                <lb/>
              nullo in tempore, rectam eſſe lationem, eſt impoſſibile. </s>
              <s id="N1150A">Sit enim
                <lb/>
              recta. </s>
              <s id="N1150F">Poſita igitur hac pro diametro, & circumrepletis late­
                <lb/>
              ribus, illud quod fertur, ſecundum laterum proportionem fer­
                <lb/>
              ri neceſſe eſt: hoc enim demonſtratum eſt prius. </s>
              <s id="N11516">Non igitur
                <lb/>
              rectam efficiet id quod ſecundum nullam proportionem, in nul­
                <lb/>
              lo fertur tempore. </s>
              <s id="N1151D">Si autem ſecundum quampiam feratur
                <lb/>
              proportionem, & in tempore quopiam, hoc neceſſe est tempus
                <lb/>
              rectam e<32>e lationem, per ea quæ retro ſunt dicta. </s>
              <s id="N11524">Quamob­
                <lb/>
              rem circulare eſt id, quod ſecundum nullam proportionem nul­
                <lb/>
              lo in tempore duas fertur lationes.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1152D" type="head">
              <s id="N1152F">COMMENTARIVS.</s>
            </p>
            <p id="N11533" type="main">
              <s id="N11535">Qvartò denique occaſione ſumpta ex eo, cur maio­
                <lb/>
              res libræ exactiores ſint minoribus, vt huius rei
                <lb/>
              principium vel cauſa innoteſcat, aliam circuli pro­
                <lb/>
              prietatem non minus ad mitandam Ariſtoteles
                <lb/>
              proponit, quam in ſuperiori etiam textu interpoſitè inſinua­
                <lb/>
              uerat: Nempe in vna
                <expan abbr="eademq.">eademque</expan>
              linea quæ eſt à centro ad cir­
                <lb/>
              cumferentiam, nullum eſſe punctum, quod æquali velocitate
                <lb/>
              moueatur reſpectu aliorum, quæ ſunt in eadem linea; ſed
                <lb/>
              citius ſemper feratur punctum quod à manente termino, ſci­
                <lb/>
              licet centro, eſt remotius. </s>
              <s id="N1154E">Quamobrem ait in ipſo circulo
                <lb/>
              quæ plus à centro diſtat linea, eadem vi commota, citius fer­
                <lb/>
              tur, quàm illa, quæ minus diſtat &c. </s>
              <s id="N11555">Quod ita ſe habere
                <lb/>
              oſtendit ex eo, quia dupliciter aliquid intelligimus velocius
                <lb/>
              alio moueri; nempe, vel quia in minori tempore, æquale
                <lb/>
              ſpatium pertranſit; vel quia eodem tempore, maius interual­
                <lb/>
              lum percurrit. </s>
              <s id="N11560">Et hoc pacto inquit in deſcriptione circuli
                <lb/>
              contingere vt puncta quæ magis à centro diſtant, velocius
                <lb/>
              moueantur. </s>
              <s id="N11567">Siquidem eodem tempore maiorem deſcribunt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>