Monantheuil, Henri de, Aristotelis Mechanica, 1599

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="035/01/210.jpg" pagenum="170"/>
            <subchap1>
              <p type="main">
                <s>
                  <lb/>
                Eadem verò celeritate ſta­
                  <lb/>
                tim per quantam lineam
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                natus eſt conuolui maior. </s>
              </p>
              <p type="margin">
                <s id="id.002566">
                  <margin.target id="marg39"/>
                Hæc inter­
                  <lb/>
                poſita
                  <expan abbr="vidẽ­tur">viden­
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                  tur</expan>
                . </s>
              </p>
              <p type="head">
                <s id="id.002567">COMMENTARIVS. </s>
              </p>
              <p type="main">
                <s id="id.002568">Præterea vnica.]
                  <emph type="italics"/>
                Cum ſit oſtenſa problematis veritas rurſus
                  <lb/>
                oſtendit aliquid admirabile contineri. </s>
                <s id="id.002569">Ratio admirationis ſic erit
                  <lb/>
                apertior.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002570">
                  <emph type="italics"/>
                Idem eadem celeritate latum æqualem
                  <expan abbr="lineã">lineam</expan>
                tranſire natum eſt.
                  <lb/>
                </s>
                <s id="id.002571">Centrum circulorum concentricorum vnum idemque eſt.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002572">
                  <emph type="italics"/>
                Ergo æqualem tranſire natum eſt.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002573">
                  <emph type="italics"/>
                Attamen aliter fit. </s>
                <s id="id.002574">Nam eadem celeritate latum modò
                  <expan abbr="maiorẽ">maiorem</expan>
                ,
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                modò minorem tranſit. </s>
                <s id="id.002575">Ergo problema admirationis plenum eſt. </s>
                <s id="id.002576">Syllogiſ­
                  <lb/>
                mi huius propoſitio eſt euidens: aſſumptio poſtea diſtinguetur.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002577">Cæterum principium.]
                  <emph type="italics"/>
                Vt admiratio tollatur, duo aſſumun­
                  <lb/>
                tur è Phyſicis, quæ ſi diligenter expendantur, ſunt vtraque euiden­
                  <lb/>
                ter vera. </s>
                <s id="id.002578">Primum eſt. </s>
                <s id="id.002579">Si ab vna & eadem vi duo moueantur, quo­
                  <lb/>
                rum alterum quidem à ſe moueri natum eſt ſecundum motum illum,
                  <lb/>
                ſecundum quem à vi
                  <expan abbr="mouẽtis">mouentis</expan>
                mouetur: alterum verò non eſt natum
                  <lb/>
                eo moueri motu, vel natum quidem ſit, ſed tum motu non vtatur ſuo:
                  <lb/>
                moueantur autem iſta coniunctim, illud quod ex ſe illo motu moueri
                  <lb/>
                natum erat, tardius mouebitur: quam ſi per ſe moueretur. </s>
                <s id="id.002580">Exemplum
                  <lb/>
                ſit plumbum cum vtre aëre pleno annexum, quod euidenter tardius
                  <lb/>
                deſcendit per aquam: quam ſi liberum fuiſſet ab vtre, vt ſit in con­
                  <lb/>
                iuncto eadem, atque in libero erat grauitas. </s>
                <s id="id.002581">Secundum eſt. </s>
                <s id="id.002582">Motum
                  <lb/>
                ab alio non plus moueri poteſt: quam quod ipſum mouet, vt quod non
                  <lb/>
                ſuo: ſed motu mouentis moueatur, tum mouens & motum ſunt ſi­
                  <lb/>
                mul, vt demonſtratum eſt ab Ariſtotele in lib. de Phyſ. auditu. </s>
                <s id="id.002583">Cauſa
                  <lb/>
                itaque problematis in hoc continetur, quod è duobus circulis eadem
                  <lb/>
                celeritate motis alter primo mouetur, & alter prior is moti raptum
                  <lb/>
                ſequitur. </s>
                <s id="id.002584">Itaque ſi minoris raptum ſequatur maior, orbita maioris fiet
                  <lb/>
                æqualis orbitæ minoris, cum maior in motu non vi vtatur ſua, ſed ad
                  <lb/>
                motum minoris moueatur: ſi vero maioris raptum minor ſequatur,
                  <lb/>
                orbita minoris fiet æqualis orbitæ maioris, cum minor eò feratur quò
                  <lb/>
                etiam maior ipſum rapit. </s>
                <s id="id.002585">Et ſic celerius per maiuſque ſpatium, quam
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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