Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <p id="N10EF6" type="main">
              <s id="N10F06">
                <pb xlink:href="026/01/027.jpg"/>
              pore cum minore perficitur: ratio eſt: </s>
              <s id="N10F0E">quia, cùm ferè decurrantur
                <lb/>
              arcus iuxta ſubtenſarum proportionem, certè cùm ſubtenſæ om­
                <lb/>
              nes æquali tempore decurrantur, idem ferè fit in ipſis arcubus: </s>
              <s id="N10F16">dixi
                <lb/>
              ferè: </s>
              <s id="N10F1C">nam reuerà minor vibratio citiùs, maior tardiùs perficitur, vt
                <lb/>
                <expan abbr="cõſtat">conſtat</expan>
                <expan abbr="experiẽtia">experientia</expan>
              : neque deeſt ratio, quam in
                <expan abbr="analyticcã">analyticam</expan>
              remittimus. </s>
            </p>
            <p id="N10F2D" type="main">
              <s id="N10F2F">4. Non aſcendit funependulum ad eam altitudinem, ex qua priùs
                <lb/>
              deſcenderat: </s>
              <s id="N10F35">clara eſt experientia: </s>
              <s id="N10F39">neque ratio tantùm petitur ab
                <lb/>
              aëris reſiſtentia; </s>
              <s id="N10F3F">tam enim reſiſtit deſcenſui, quàm aſcenſui; </s>
              <s id="N10F43">ſed ex
                <lb/>
              eo, quòd ſingulis inſtantibus ſit quædam pugna, inter impetum in­
                <lb/>
              natum, & alium determinatum ad arcum ſurſum: </s>
              <s id="N10F4B">quippe impetus
                <lb/>
              innatus ad totum deſcenſum, ſed nullo modo ad aſcenſum con­
                <lb/>
              currit: </s>
              <s id="N10F53">hinc in maiori vibratione imminuitur motus, & ſpatium in
                <lb/>
              maiori proportione, quàm in minori; </s>
              <s id="N10F59">quia in hac lineæ ſingulæ aſ­
                <lb/>
              cenſus quaſi
                <expan abbr="totidẽ">totidem</expan>
              inclinatæ ſunt inclinatiores; in illa verò minùs. </s>
            </p>
            <p id="N10F63" type="main">
              <s id="N10F65">5. Hinc diu vibratur funependulum per minores arcus, quippe
                <lb/>
              facilis eſt aſcenſus per planum proximè ad horizontale accedens: </s>
              <s id="N10F6B">
                <lb/>
              hinc etiam in funependulo maiori diutiùs durant huiuſmodi vi­
                <lb/>
              brationes, idque in arcubus paulò maioribus; </s>
              <s id="N10F72">quia ſubtenſæ his
                <lb/>
              arcubus ſunt inclinatiores: </s>
              <s id="N10F78">hinc refutabis eos, qui dicunt, vibra­
                <lb/>
              tiones funependuli in vacuo fore perpetuas: </s>
              <s id="N10F7E">arcus vibratio­
                <lb/>
              nis aſcenſus fit motu naturaliter retardato, ſed per imminu­
                <lb/>
              tiones inæquales; quia pro diuerſa inclinatione plani diuerſimodè
                <lb/>
              retardatur. </s>
            </p>
            <p id="N10F88" type="main">
              <s id="N10F8A">6. Vltimum punctum impetus acquiſitus acquiſitum in deſcenſu,
                <lb/>
              nullo modo ad deſcenſum concurrit, ſed ad aſcenſum, vnico tan­
                <lb/>
              tùm inſtanti; </s>
              <s id="N10F92">quippe eſt omnium imperfectiſſimum; </s>
              <s id="N10F96">quod reuerà ſi
                <lb/>
              eſſet eiuſdem perfectionis cum innato, aſcenſus æqualis eſt deſcen­
                <lb/>
              ſui: </s>
              <s id="N10F9E">ſi ſint funependula inæqualia, vibrationes non ſunt æquè diu­
                <lb/>
              turnæ: ratio eſt: </s>
              <s id="N10FA4">quia, ſi aſſumantur, v.g. duo quadrantes inæquales,
                <lb/>
              ſunt ejuſdem inclinationis; igitur minor citiùs percurritur. </s>
            </p>
            <p id="N10FAA" type="main">
              <s id="N10FAC">7. Porrò tempora vibrationum ſunt in ratione ſubduplicata ar­
                <lb/>
              cuum ſimilium, vel chordarum ſimilium, vel radiorum; </s>
              <s id="N10FB2">id eſt, vt
                <lb/>
              radices ſpatiorum ſimilium: </s>
              <s id="N10FB8">verbi gratia, ſit quadruplus alterius,
                <lb/>
              tempus vibrationis maioris eſt duplum temporis vibrationis mino­
                <lb/>
              ris; </s>
              <s id="N10FC0">quod ita intelligendum eſt, vt hæc proportio conſideretur in
                <lb/>
              partibus temporis ſenſibilibus, vt iam dictum eſt de motu natura­
                <lb/>
              liter accelerato deorſum in perpendiculo, & in planis inclinatis;
                <lb/>
              nam progreſſio arithmetica; aſſumpta in ſingulis inſtantibus, tran­
                <lb/>
              ſit in hanc, ſi aſſumantur partes temporis ſenſibiles, quarum ſingu­
                <lb/>
              læ infinitis ferè conſtent inſtantibus. </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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