DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <p id="id.2.1.31.1.0.0.0" type="main">
              <s id="id.2.1.31.1.1.7.0">
                <pb xlink:href="036/01/050.jpg"/>
              teri Ek æquale. </s>
              <s id="id.2.1.31.1.1.8.0">cùm
                <lb/>
              autem angulus DCA
                <lb/>
              ſit angulo ECB æqua­
                <lb/>
              lis: erit quoq; circum­
                <lb/>
              ferentia DA
                <expan abbr="cirferen">circumferen</expan>
              ­
                <lb/>
              tiæ BE æqualis. </s>
              <s id="id.2.1.31.1.1.9.0">dum
                <lb/>
              itaq; pondus in D de­
                <lb/>
              ſcendit per circumfe­
                <lb/>
              rentiam DA, pondus
                <lb/>
              in E per circumferen­
                <lb/>
              tiam EB ipſi DA æ­
                <lb/>
              qualem aſcendit. </s>
              <s id="id.2.1.31.1.1.10.0">& de­
                <lb/>
              ſcenſus
                <expan abbr="põderis">ponderis</expan>
              in D de
                <lb/>
              directo (more
                <expan abbr="ipſorũ">ipſorum</expan>
              )
                <lb/>
                <figure id="id.036.01.050.1.jpg" place="text" xlink:href="036/01/050/1.jpg" number="35"/>
                <lb/>
              capiet DH; aſcenſus verò ponderis in E de directo capiet Ek ip
                <lb/>
              ſi DH æqualem: erit itaq; deſcenſus ponderis in D aſcenſui pon
                <lb/>
              deris in E æqualis, & qualis erit propenſio vnius ad motum deor
                <lb/>
              sum, talis etiam erit reſiſtentia alterius ad motum ſurſum. </s>
              <s id="id.2.1.31.1.1.11.0">re­
                <lb/>
              ſiſtentia ſcilicet violentiæ ponderis in E in aſcenſu naturali po­
                <lb/>
              tentiæ ponderis in D in deſcenſu contrà nitendo apponitur; cùm
                <lb/>
              ſit ipſi æqualis. </s>
              <s id="id.2.1.31.1.1.12.0">quò enim pondus in D naturali potentia deor
                <lb/>
              ſum velocius deſcendit, eò tardius pondus in E violenter aſcendit. </s>
              <s id="id.2.1.31.1.1.13.0">
                <lb/>
              quare neutrum ipſorum alteri præponderabit, cùm ab æquali non
                <lb/>
              proueniat actio. </s>
              <s id="id.2.1.31.1.1.14.0">Non igitur pondus in D pondus in E ſurſum
                <lb/>
              mouebit. </s>
              <s id="id.2.1.31.1.1.15.0">ſi enim moueret; neceſſe eſſet, pondus in D maiorem
                <lb/>
              habere virtutem deſcendendo, quàm pondus in E aſcendendo;
                <lb/>
              ſed hæc ſunt æqualia: ergo pondera manebunt. </s>
              <s id="id.2.1.31.1.1.16.0">& grauitas pon­
                <lb/>
              deris in D grauitati ponderis in E æqualis erit. </s>
              <s id="id.2.1.31.1.1.17.0">Præterea quoniam
                <lb/>
              ſupponunt, quò pondus à linea directionis FG magis diſtat, eò
                <lb/>
              grauius eſſe: Idcirco ductis quoq; à punctis DE ipſi FG perpen
                <lb/>
              dicularibus DO EI; ſimili modo demonſtrabitur, triangulum
                <lb/>
              CDO triangulo CEI æqualem eſſe: & lineam DO ipſi EI æqua
                <lb/>
              lem. </s>
              <s id="id.2.1.31.1.1.18.0">tam igitur diſtat à linea FG pondus in D, quàm pondus in
                <lb/>
              E. </s>
              <s id="N1168B">ex ipſorum igitur rationibus, atq; ſuppoſitionibus, pondera
                <lb/>
              in DE æquè grauia erunt. </s>
              <s id="id.2.1.31.1.1.19.0">Amplius quid prohibet, quin libram
                <lb/>
              DE ex neceſsitate in FG moueri ſimili ratione oſtendatur? </s>
              <s id="id.2.1.31.1.1.20.0">Pri­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum