Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1162F" type="main">
              <s id="N1167B">
                <pb pagenum="44" xlink:href="005/01/052.jpg"/>
              per diametrem quadranguli A B C D, quæ eſt recta A D;
                <lb/>
              ſiquidem in nulla alia parte interiecti ſpatij, diſtantia eſſet
                <lb/>
              æqualis, vt ſenſu conſtat: Ergo ſeruata eadem proportione in
                <lb/>
              ipſa duplici latione reſpectu mobilis & cuiuſque partis ipſius,
                <lb/>
              motus neceſſariò erit rectus, ſeu
                <expan abbr="põdus">pondus</expan>
              & quælibet eius pars,
                <lb/>
              non niſi per rectam lineam poterit moueri. </s>
            </p>
            <p id="N11691" type="main">
              <s id="N11693">Deinde quod infert Ariſtoteles, circulare eſſe id quod ſe­
                <lb/>
              cundum nullam proportionem, nullo in tempore duas pati­
                <lb/>
              tur lationes, falſum eſſet etiam iuxta præfatam explicationé
                <lb/>
              proportionis; niſi per circulare intelligeremus lato modo, id
                <lb/>
              quod eſt curuum. </s>
              <s id="N1169E">quia nimirum non ſequitur, aliquid eſſe
                <lb/>
              circulare, in rigore loquendo, aut moueri per lineam circula­
                <lb/>
              rem, eo quòd moueri non poſſit per lineam rectam; cum plu­
                <lb/>
              res ſint figuræ ac lineæ non rectæ, nec circulares, vt figura el­
                <lb/>
              lipſis, ſectiones parabolicæ, ac lineæ ſpirales,
                <expan abbr="aliæq.">aliæque</expan>
              irregu­
                <lb/>
              lares permultæ. </s>
              <s id="N116AF">Quæ omnia prænotaſſe, ipſa verborum am­
                <lb/>
              biguitas poſtulabat, vt clarius ad probationem doctrinæ pro­
                <lb/>
              cederemus. </s>
            </p>
            <p id="N116B6" type="main">
              <s id="N116B8">Iam vero vt Geometricis principijs quæ dicta ſunt pateát,
                <lb/>
              ſic probat Ariſtoteles, quidquid fertur duabus lationibus ad
                <lb/>
              inuicem proportionatis, ſuper rectam neceſſariò ferri, ac pro­
                <lb/>
              inde non circulariter. </s>
              <s id="N116C1">Sit inquit proportio ipſarum lationum
                <lb/>
                <figure id="id.005.01.052.1.jpg" xlink:href="005/01/052/1.jpg" number="6"/>
                <lb/>
              quam habent inter
                <lb/>
              ſe latera A B & AC
                <lb/>
              in dato rectangulo
                <lb/>
              A B C D. </s>
              <s id="N116D3">Et A
                <lb/>
                <expan abbr="quidẽ">quidem</expan>
              duplici motu
                <lb/>
              feratur, vno quo
                <lb/>
                <expan abbr="tẽdat">tendat</expan>
              verſus B, qua­
                <lb/>
              ſi ex ſe incedendo
                <lb/>
              ſuper lineam A B:
                <lb/>
              altero verò, quo ſimul cum ipſa linea A B ſubterferatur ver­
                <lb/>
              ſus C, ſeu verſus lineam C D cum eadem ſemper proportio­
                <lb/>
              ne. </s>
              <s id="N116EC">Tunc dicimus punctum A motu ipſo mixto, neceſſariò
                <lb/>
              ferri per rectam A D, quæ eſt diameter eiuſdem quadrilateri
                <lb/>
              A B C D. </s>
              <s id="N116F4">Etenim ſi
                <expan abbr="cõſtituatur">conſtituatur</expan>
              rectangulus minor A E F G </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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