Monantheuil, Henri de, Aristotelis Mechanica, 1599

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    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <p type="main">
                <s id="id.002110">
                  <pb xlink:href="035/01/176.jpg" pagenum="136"/>
                chleæ plus in dupla veloci­
                  <lb/>
                tate attollent. </s>
                <s id="id.002111">Minus enim
                  <lb/>
                altera trahit quam ſi ipſa
                  <lb/>
                per ſeipſam traheret. </s>
                <s id="id.002112">quo­
                  <lb/>
                niam iuxta
                  <expan abbr="alterã">alteram</expan>
                iniectus
                  <lb/>
                fuerit funiculus. </s>
                <s id="id.002113">Hęc enim
                  <lb/>
                inſuper pondus minus effe­
                  <lb/>
                cit. </s>
                <s id="id.002114">Et ſic ſi in plures tro­
                  <lb/>
                chleas iniectus fuerit funi­
                  <lb/>
                culus, in paucis trochleis
                  <lb/>
                multum intereſt. </s>
                <s id="id.002115">Itaque à
                  <lb/>
                prima trahente
                  <expan abbr="põdus">pondus</expan>
                qua­
                  <lb/>
                tuor librarum, ab vltima
                  <lb/>
                trahi multo minus. </s>
              </p>
              <p type="head">
                <s id="id.002116">COMMENTARIVS. </s>
              </p>
              <p type="main">
                <s id="id.002117">An quia idem.]
                  <emph type="italics"/>
                Solutio eſt propoſiti problematis ſumpta è
                  <lb/>
                vecte multiplicato. </s>
                <s id="id.002118">Syllogiſmus ſic erit.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002119">
                  <emph type="italics"/>
                Quod ſolum magna moueret pondera parua vi, hoc etiam gemi­
                  <lb/>
                natum trahet.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002120">
                  <emph type="italics"/>
                Trochlea parua vi magna trahit pondera.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002121">
                  <emph type="italics"/>
                Trochlea ergo geminata parua vi magna trahet pondera.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002122">
                  <emph type="italics"/>
                Huius ſyllogiſmi propoſitio clara eſt, ex eo quod vires bene compoſi­
                  <lb/>
                tæ & multiplicatæ plus poſſunt: quam ſolæ & ſimplices. </s>
                <s id="id.002123">Aſſumptio
                  <lb/>
                verò ſic confirmatur.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002124">
                  <emph type="italics"/>
                Trochlea idem facit, quod vectis. </s>
                <s id="id.002125">Eſt enim ipſa vectis.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002126">
                  <emph type="italics"/>
                Vectis parua vi magna mouet pondera. </s>
                <s id="id.002127">ex anteced.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002128">
                  <emph type="italics"/>
                Ergo trochlea parua vi magna trahet pondera.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002129">
                  <emph type="italics"/>
                Quod autem trochlea ſit vectis, patet. </s>
                <s id="id.002130">quia hypomochlium eſt in axi­
                  <lb/>
                culo immobili, diameter orbiculi eſt longitudo vectis deorſum vna
                  <lb/>
                parte tracta per funem circumductum: altera ſurſum eleuata. </s>
                <s id="id.002131">
                  <expan abbr="Mouẽs">Mouens</expan>
                  <lb/>
                  <expan abbr="cutẽ">cutem</expan>
                eſt virtus trahentis ad initium funis. </s>
                <s id="id.002132">Et
                  <expan abbr="põdus">pondus</expan>
                quod eſt vni tro­
                  <lb/>
                chlearum appoſitum eſt mobile. </s>
                <s id="id.002133">Cum autem virtus trahit per plures
                  <lb/>
                orbiculos, vt pluribus vectibus vtens vna opera, & eodem temporis
                  <lb/>
                momento facilius trahit & minore vi, quandoquidem pondus, vt
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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