Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/041.jpg" pagenum="33"/>
              maximus eſt vſus: nec enim materia ad vectem, cu­
                <lb/>
              ius longitudo ſtadij vnius requireretur, idonea in­
                <lb/>
              ueniri poſſet: plurium autem tympanorum propor­
                <lb/>
              tionalium aptatione fiet machina tractabilis, cuius
                <lb/>
              vis maior erit quàm vectis, cuius longitudo ſtadij v­
                <lb/>
              nius eſſet. </s>
              <s>Si enim duo tympani homocentrici a­
                <lb/>
              ptentur, quorum proportio ſit alterius ad alterum,
                <lb/>
              decupla, vis quæ libram vnam æquabit, vim decem
                <lb/>
              libris æqualem dempto momento mouebit, ſi con­
                <lb/>
              gruè illis tympanis aptentur: ſi verò adhuc duo alij
                <lb/>
              tympani fiant, quorum alterius ad alterum decupla
                <lb/>
              ſit proportio, ac minor
                <expan abbr="illorũ">illorum</expan>
              ita aptetur, vt
                <expan abbr="maiorẽ">maiorem</expan>
                <lb/>
              ex prioribus moueat, appendatur deinde minori ex
                <lb/>
              prioribus tympanis vis centum libris æqualis, maio­
                <lb/>
              ri verò ex poſterioribus vis vni libræ æqualis, tum
                <lb/>
              hæc illam mouebit, & ſic in infinitum motus extre­
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              morum proportio multiplicari poteſt. </s>
              <s>Flexibili ve­
                <lb/>
              rò medio quies ita aptari poteſt, vt duo eius extre­
                <lb/>
              ma diuerſis motibus moueantur, & quidem ſecun­
                <lb/>
              dum datam rationem. </s>
              <s>Exemplum habemus in orga
                <lb/>
              nis polyſpactis, ſeu trochleis, in quibus altero funis
                <lb/>
              extremo immobili manente, reliquum funis circa
                <lb/>
              plures trochleas conuoluitur, quarum aliæ centris
                <lb/>
              immobilibus fixæ ſunt, aliæ verò ipſis contrariæ cen
                <lb/>
              tris mobilibus. </s>
              <s>Atque ita circa illas conuoluitur fu­
                <lb/>
              nis, vt inter eas ſit ſpatium tantum, quanta eſt linea, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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