Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

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            <p id="N127D6" type="main">
              <s id="N12803">
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              lem cum illa à cathectu diſtantiam, ac proinde grauitatem
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              perueniat, vt in æquilibrio contingit­</s>
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              <s id="N12817">Superiorem autem lancem modo prædicto à linea ca­
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              thectus magis remoueri, ſic poteſt
                <expan abbr="demõſtrari">demonſtrari</expan>
              exemplo hu­
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              ius figuræ. </s>
              <s id="N12822">Sit cathectus cadens linea AB, quæ tranſeat
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              per punctum axis propoſitæ libræ vbi C. </s>
              <s id="N12828">Deinde ducatur
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              recta DE per longum diuidens iugum libræ,
                <expan abbr="ipſaq.">ipſaque</expan>
              DE bi­
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              fariam diuidatur in F, & punctum in quo ſecat lineam AB,
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              ſignetur G. </s>
              <s id="N12836">Poſtea excitentur à puncto D, & à puncto E
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              duæ paralellæ perpendiculariter tendentes ad lineam AB,
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              ita vt efficiantur duo triangula AEG, & DGB. </s>
              <s id="N1283D">In his au­
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                <figure id="id.005.01.091.1.jpg" xlink:href="005/01/091/1.jpg" number="27"/>
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              tem triangulis, an­
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              gulus DGB ęqua­
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              lis eſt angulo EGA
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              cum ſint ad verti­
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              cem per 15. primi
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              Eucl. </s>
              <s id="N12853">Angulus
                <expan abbr="etiã">etiam</expan>
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              D. ęqualis eſt an­
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              gulo E cum ſint al­
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              terni intra eaſdem
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              paralellas, vt patet
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              per 29. primi eiuſ­
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              dem Euclidis. </s>
              <s id="N12867">Si­
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              militer etiam angu­
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              lus B æqualis eſt
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              angulo A, quia
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              vterque ponitur re­
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              ctus. </s>
              <s id="N12874">Cum igitur
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              tres anguli vnius
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              trianguli æquales
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              ſint tribus angulis alterius trianguli ſequitur per 4. prop. ſex­
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              ti, latera eorundem triangulorum, quę circum ęquales an­
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              gulos ſunt, eſſe inter ſe proportionalia. </s>
              <s id="N12881">Vnde fit vt cum
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              vnum latus ex duobus, quibus angulus E continetur, vide­
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              licet GE ſit maius
                <expan abbr="quã">quam</expan>
              latus GD ęqualis anguli D. </s>
              <s id="N1288D">Siqui­
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              dem GE eſt pluſquam dimidium lineę DE continet enim </s>
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