Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <body>
          <chap id="N270EE">
            <pb pagenum="440" xlink:href="026/01/476.jpg"/>
            <p id="N2A756" type="main">
              <s id="N2A758">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A764" type="main">
              <s id="N2A766">Hinc collige omnes rationes, quæ ſpectant ad libram; </s>
              <s id="N2A76A">hinc vulgare
                <lb/>
              illud dictum mechanicum: Si pondera ſint vt diſtantiæ, ſunt in æqui­
                <lb/>
              librio. </s>
            </p>
            <p id="N2A772" type="main">
              <s id="N2A774">Hinc coniugari poſſunt infinitis modis pondera, & diſtantiæ, quorum
                <lb/>
              omnium rationes compoſitæ obſeruari debent. </s>
            </p>
            <p id="N2A779" type="main">
              <s id="N2A77B">Hinc etiam obliqua libra, & inclinata, ſi ſupponantur brachia adin­
                <lb/>
              ſtar lineæ indiuiſibilis facit æquilibrium. </s>
            </p>
            <p id="N2A780" type="main">
              <s id="N2A782">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A78F" type="main">
              <s id="N2A791">
                <emph type="italics"/>
              Ideo facilè ingens pondus attollitur vecte, quia mouetur motu minore iux­
                <lb/>
              ta
                <expan abbr="eãdem">eandem</expan>
              rationem, de quo ſuprà
                <emph.end type="italics"/>
              ; </s>
              <s id="N2A7A0">cùm enim ſupponatur in vecte pun­
                <lb/>
              ctum immobile, quod certo nititur fulcro; </s>
              <s id="N2A7A6">neceſſe eſt vtrimque moueri
                <lb/>
              ſegmenta vectis motu circulari,
                <expan abbr="eoq́ue">eoque</expan>
              inæquali; </s>
              <s id="N2A7B0">quia ſunt inæqualia; </s>
              <s id="N2A7B4">igi­
                <lb/>
              tur altero minore; & hæc eſt prima ratio imminuendi motus. </s>
            </p>
            <p id="N2A7BA" type="main">
              <s id="N2A7BC">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A7C8" type="main">
              <s id="N2A7CA">Hinc datum quodcunque pondus attollitur vecte; hinc quò ſegmen­
                <lb/>
              tum, quod à fulcro porrigitur verſus pondus quod attollitur eſt breuius,
                <lb/>
              eò maius pondus attolli poteſt. </s>
            </p>
            <p id="N2A7D2" type="main">
              <s id="N2A7D4">Hinc vectis per Tangentem ſemper attolli debet, vt maiorem præſtet
                <lb/>
              effectum, vt conſtat ex ijs, quæ diximus l.4. </s>
            </p>
            <p id="N2A7D9" type="main">
              <s id="N2A7DB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A7E8" type="main">
              <s id="N2A7EA">
                <emph type="italics"/>
              Ideo facilè attollitur ingens pondus trochlea, quia mouetur motu minorę,
                <lb/>
              vt manifeſtum eſt
                <emph.end type="italics"/>
              ; </s>
              <s id="N2A7F5">eſt autem minor motus in ea proportione, in qua lon­
                <lb/>
              gitudo funis adducti ſuperat altitudinem ſpatij decurſi à pondere, quod
                <lb/>
              attollitur; mirabile ſanè inuentum, ſi quod aliud. </s>
            </p>
            <p id="N2A7FD" type="main">
              <s id="N2A7FF">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A80B" type="main">
              <s id="N2A80D">Hinc, ſi funis adducatur deorſum, vnica rotula non iuuat potentiam; </s>
              <s id="N2A811">
                <lb/>
              quia longitudo funis adducti eſt æqualis altitudini ſpatij decurſi à pon­
                <lb/>
              dere; </s>
              <s id="N2A818">ſi verò adducatur ſurſum vnica rotula duplicat potentiam; </s>
              <s id="N2A81C">quia lon­
                <lb/>
              gitudo prædicta funis adducti eſt dupla prædictæ altitudinis; </s>
              <s id="N2A822">igitur mo­
                <lb/>
              tus ponderis aſcendentis eſt ſubduplus; </s>
              <s id="N2A828">igitur duplum pondus eadem po­
                <lb/>
              tentia attollet, vel idem pondus ſubdupla per Ax. 1. ſi verò ſint duæ ro­
                <lb/>
              tulæ adducaturque deorſum, duplum etiam pondus attollet eadem po­
                <lb/>
              tentia; </s>
              <s id="N2A832">quia longitudo funis adducti eſt dupla altitudinis; ex his reliqua
                <lb/>
              de trochlea facilè intelligentur, </s>
            </p>
            <p id="N2A838" type="main">
              <s id="N2A83A">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N2A846" type="main">
              <s id="N2A848">Equidem demonſtrari poteſt aliter à debili potentia ſuſtineri poſſe
                <lb/>
              ingens pondus operâ trochleæ; </s>
              <s id="N2A84E">quia ſcilicet pluribus diſtribuitur ſuſti­
                <lb/>
              nendi munus, vt clarum eſt; </s>
              <s id="N2A854">quod verò ſpectat ad motum, vnum tantùm
                <lb/>
              eſt illius principium, ſcilicet potentia, quæ trahit; licèt enim clauus, cui
                <lb/>
              affigitur altera extremitas funis poſſit ſuſtinere, non tamen mouere. </s>
            </p>
            <p id="N2A85C" type="main">
              <s id="N2A85E">Hinc demum ratio, cur ſi multiplicentur funes, & orbiculi ingens-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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