DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12013" type="main">
              <s id="N1203D">
                <pb xlink:href="077/01/062.jpg" pagenum="58"/>
              pondus vnam & eandem ſemper habet grauitatem; erit
                <expan abbr="põdus">pondus</expan>
                <lb/>
              ex CB compoſitum æ〈que〉graue, tam in ſitu CB, quàm in
                <lb/>
              FG, & in ſitu HK. conſiderando nempe pondera CB (ut
                <lb/>
              revera ſunt) nilaliud eſſe niſi vnum tantùm pondus ex CB
                <lb/>
              compoſitum. </s>
              <s id="N1204F">Ex quibus perſpicuum eſt, punctum E eodem
                <lb/>
              ſemper modo grauitare. </s>
              <s id="N12053">Quare quoniam pondera CB in ſi­
                <lb/>
              tu CB ipſi A ę〈que〉ponderant, ſuamquè habent grauitatem
                <lb/>
              in puncto E; eadem pondera CB ſiue ſint in FG, ſiue in
                <lb/>
              HK, eidem ponderi A æ〈que〉ponderabunt. </s>
              <s id="N1205B">ſiquidem propriè
                <lb/>
              ſemper grauitant in E, & eandem ſemper habent
                <expan abbr="grauita-tẽ">grauita­
                  <lb/>
                tem</expan>
              Intelligatur deni〈que〉 HEK in centrum mundi tendere; e­
                <lb/>
              runtvti〈que〉 vtra〈que〉 pondera HK, tanquam in puncto E
                <expan abbr="cõ">com</expan>
                <lb/>
              ſtituta, vt ex prima propoſitione noſtrorum Mechanicorum
                <lb/>
              elici poteſt, quamuis perſe notum ſit. </s>
              <s id="N1206F">ſiquidem ſeorſum pon
                <lb/>
              dus H ſecundùm eius centrum grauitatis propriè grauitat ſu
                <lb/>
              per puncto E; pondus verò K eſt, tanquam ex E appenſum;
                <lb/>
              vndè & in eodem puncto E quo〈que〉 grauitat. </s>
              <s id="N12077">Ita〈que〉
                <expan abbr="quoniã">quoniam</expan>
                <lb/>
              ambo propriè grauitant in E, erunt pondera HK perinde,
                <lb/>
              acſi vnum eſſet pondusipſis HK, hoc eſtipſis CB æquale, cu
                <lb/>
              ius centrum grauitatis ſit in E conſtitutum. </s>
              <s id="N12083">atverò pondus
                <lb/>
              A ipſis CB in ſitu HK exiſtentibus æ〈que〉ponderat. </s>
              <s id="N12087">ergo
                <expan abbr="idẽ">idem</expan>
                <lb/>
              pondus A ipſis CB in E conſtitutis, hoc eſt ponderi ipſis CB
                <lb/>
              ſimul ſumptis ęquali in E poſito æ〈que〉ponderabit. </s>
              <s id="N12091">quod de­
                <lb/>
              monſtrare oportebat. </s>
            </p>
            <p id="N12095" type="main">
              <s id="N12097">Quod idem quo〈que〉, ſi plura eſſent pondera, ſimiliter o­
                <lb/>
              ſtendetur. </s>
            </p>
            <p id="N1209B" type="main">
              <s id="N1209D">Valetita〈que〉 conſe〈que〉ntia, punctum D centrum eſtgra­
                <lb/>
              uitatis magnitudinis ex ponderibus ABC compoſitę; ergoi­
                <lb/>
              dem punctum D centrum eſt grauitatis ponderis in A, &
                <expan abbr="põ">pom</expan>
                <lb/>
              derisipſis BC ſimul ęqualis in E conſtituti. </s>
              <s id="N120A9">ex quo conſequi­
                <lb/>
              tur, quòd ſi magnitudines ABC ex D æ〈que〉ponderant, ergo
                <lb/>
              ex eodem D magnitudo ipſis BC ſimul æqualis in E poſita,
                <lb/>
              & magnitudo A æ〈que〉ponderabunt. </s>
              <s id="N120B1">quòd ſi rectè perpenda­
                <lb/>
              mus, nil aliud ſunt pondera in BC, niſi magnitudo in E con­
                <lb/>
              ſtituta. </s>
              <s id="N120B7">ſiquidem punctum E ipſius centrum grauitatis
                <lb/>
              exiſtit </s>
            </p>
            <p id="N120BB" type="main">
              <s id="N120BD">In noſtro autem Mechanicorum libro in quinta </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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