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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1196C" type="main">
              <s id="N11986">
                <pb xlink:href="077/01/049.jpg" pagenum="45"/>
              horizonti perpendicularis. </s>
              <s id="N11998">ſecus aurem minimè. </s>
              <s id="N1199A">Nam ſi pon
                <lb/>
              dera AB ſint in libra ADB, quę ſit arcuata, vel angulum
                <expan abbr="cō-ſtituat">con­
                  <lb/>
                ſtituat</expan>
              , ſiue intelligatur libra recta linea AB, cui affixa ſit
                <lb/>
              perpendicularis CD. vt in tractatu de libra noſtrorum Me­
                <lb/>
              chanicorum diximus. </s>
              <s id="N119A8">ſuſpendantur autem pondera AB ex
                <lb/>
                <arrow.to.target n="fig20"/>
                <lb/>
              D, & æ〈que〉ponderent;
                <expan abbr="nõ">non</expan>
                <lb/>
              ſequitur tamen, ergo D
                <lb/>
                <expan abbr="cẽtrum">centrum</expan>
              eſt grauitatis ma­
                <lb/>
              gnitudinis ex AB com­
                <lb/>
              poſitę. </s>
              <s id="N119C0">centrum enim gra
                <lb/>
              uitatis in linea exiſtit AB
                <lb/>
              quæ centra grauitatis ma
                <lb/>
              gnitudinum AB coniun
                <lb/>
              git, nempe in C. Verùm coniungat recta linea AB centra
                <lb/>
                <arrow.to.target n="fig21"/>
                <lb/>
              grauitatis æqualium ponderum AB, lineaquè
                <lb/>
              AB, cuius medium ſit C, in centrum mundi
                <expan abbr="tẽ-dat">ten­
                  <lb/>
                dat</expan>
              , magnitudoquè ex ipſis AB compoſita vbi­
                <lb/>
              cun〈que〉 ſuſpendatur in linea AB, vt in E; ma
                <lb/>
              nebunt vti〈que〉 pondera AB ex E ſuſpenſa, vt in
                <lb/>
              prima propoſitione de libra noſtrorum Mecha­
                <lb/>
              nicorum oſtendimus. </s>
              <s id="N119E1">cùm C ſit ipſorum
                <expan abbr="centrū">centrum</expan>
                <lb/>
              grauitatis, & EC ſit horizonti erecta. </s>
              <s id="N119E9">Et quam­
                <lb/>
              uis magnitudo ex ipſis AB compoſita ex E ſu
                <lb/>
              ſpenſa maneat; non propterea ſequitur ergo E
                <lb/>
              centrum eſt grauitatis magnitudinis ex ipſis AB
                <lb/>
              compoſitę. </s>
              <s id="N119F3">niſi fortè accidat ſuſpenſio ex puncto
                <lb/>
              C. Præterea verò aduertendum eſt in hoc caſu
                <expan abbr="põdera">pon
                  <lb/>
                dera</expan>
              AB, dici quidem poſſe, manere, non autem
                <lb/>
              æ〈que〉ponderare. </s>
              <s id="N119FF">omnia nimirum, quę æ〈que〉ponderant, ma­
                <lb/>
              nent; ſed non è conuerſo, quæ manent, æ〈que〉ponderant. </s>
              <s id="N11A03">Nam
                <lb/>
              ſi pondus A maius fuerit pondere B; ſiue B maius, quàm
                <lb/>
              A, vbicun〈que〉 fiat ſuſpenſio in linea AB, ſemper ob
                <expan abbr="eãdem">eandem</expan>
                <lb/>
              cauſam, quomodocun〈que〉 ſint pondera, manebunt; non ta­
                <lb/>
              men æ〈que〉ponderabunt. </s>
              <s id="N11A11">Vt enim pondera æ〈que〉ponderent,
                <lb/>
              requiritur, vt pars parti, virtuſquè vnius virtuti alterius hinc
                <lb/>
              inde reſiſtere, & æquipollere poſſit; vt propriè dici poſſint
                <expan abbr="põ">pom</expan>
                <lb/>
              dera æ〈que〉ponderare. </s>
              <s id="N11A1D">& vt hoc euenire poſſit, oportet, vt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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