DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <pb n="8" xlink:href="036/01/029.jpg"/>
            <p id="id.2.1.13.1.0.0.0" type="main">
              <s id="id.2.1.13.1.2.1.0">Sed neque prætereundum
                <lb/>
              eſt, ipſos in demonſtratio­
                <lb/>
              ne angulum KEG maiorem
                <lb/>
              eſſe angulo HDG, tanquam
                <lb/>
              notum accepiſſe. </s>
              <s id="id.2.1.13.1.2.2.0">quod eſt
                <lb/>
              quidem verum, ſi DHEK
                <lb/>
              inter ſe ſe ſint æquidiſtan­
                <lb/>
              tes. </s>
              <s id="id.2.1.13.1.2.3.0">Quoniam autem (vt
                <lb/>
              ipſi quoque ſupponunt) li­
                <lb/>
              neæ DHEK in centrum
                <lb/>
              mundi conueniunt; lineæ
                <lb/>
              DHEK æquidiſtantes nun
                <lb/>
              quam erunt, & angulus KEG
                <lb/>
              angulo HDG non ſolum
                <lb/>
              maior erit, ſed minor. </s>
              <s id="id.2.1.13.1.2.4.0">vt
                <lb/>
              exempli gratia, producatur
                <lb/>
              FG vſque ad centrum mun
                <lb/>
              di, quod ſit S; connectan­
                <lb/>
              tur〈qué〉 DSES. </s>
              <s id="N10AF9">oſtenden­
                <lb/>
              dum eſt angulum SEG mi
                <lb/>
              norem eſſe angulo SDG. </s>
              <s id="id.2.1.13.1.2.4.0.a">du
                <lb/>
                <figure id="id.036.01.029.1.jpg" place="text" xlink:href="036/01/029/1.jpg" number="16"/>
                <lb/>
              catur à puncto E linea ET circulum DGEF contingens, ab eo
                <lb/>
              dem〈qué〉 puncto ipſi DS æquidiſtans ducatur EV. </s>
              <s id="id.2.1.13.1.2.4.0.b">Quoniam igi
                <lb/>
              tur EVDS inter ſe ſe ſunt æquidiſtantes: ſimiliter ETDO æqui
                <lb/>
              diſtantes: erit angulus VET angulo SDO æqualis. </s>
              <s id="id.2.1.13.1.2.5.0">& angulus
                <lb/>
              TEG angulo ODM eſt æqualis; cum à lineis contingentibus,
                <lb/>
              circumferentiiſ〈qué〉 æqualibus contineatur: totus ergo angulus
                <lb/>
              VEG angulo SDM æqualis erit. </s>
              <s id="id.2.1.13.1.2.6.0">Auferatur ab angulo SDM
                <lb/>
              angulus curuilineus MDG; ab angulo autem VEG angulus au­
                <lb/>
              feratur VES; & angulus VES rectilineus maior eſt curuilineo
                <lb/>
              MDG; erit reliquus angulus SEG minor angulo SDG. </s>
              <s id="id.2.1.13.1.2.6.0.a">
                <lb/>
              Quare ex ipſorum ſuppoſitionibus non ſolum pondus in D gra­
                <lb/>
              uius erit pondere in E; verùm è conuerſo, pondus in E ipſo D
                <lb/>
              grauius exiſtet. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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