DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N1043F">
            <p id="id.2.1.29.1.0.0.0" type="main">
              <s id="id.2.1.29.1.1.10.0">
                <pb n="17" xlink:href="036/01/047.jpg"/>
              tura rei. </s>
              <s id="id.2.1.29.1.1.11.0">Inſuper ipſorum ſuppoſitio non aſſerit, pondus ſecun
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              dùm ſitum grauius eſſe, quantò in eodem ſitu minus obliquum
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              eſt principium ipſius deſcenſus. </s>
              <s id="id.2.1.29.1.1.12.0">Suppoſitio igitur ſuperius alla
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              ta, hoc eſt, ſecundùm ſitum pondus grauius eſſe, quantò in eo
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              dem ſitu minus obliquus eſt deſcenſus; non ſolum ex his, quæ
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              diximus, vllo modo concedi poteſt; ſed quoniam huius oppoſi
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              tum oſtendere quoq; non eſt difficile: ſcilicet idem pondus in
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              æqualibus circumferentiis, quò minus obliquus eſt deſcenſus, ibi
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              minus grauitare. </s>
            </p>
            <p id="id.2.1.29.2.0.0.0" type="main">
              <s id="id.2.1.29.2.1.1.0">Sint enim vt prius cir
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                <expan abbr="cumferentræ">cumferentiae</expan>
              AL AM
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              inter ſe ſe æquales; ſitq;
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              punctum L propè F. </s>
              <s id="N11471">&
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              connectatur LM, quæ
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              ipſi AB perpendicularis
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              erit. </s>
              <s id="id.2.1.29.2.1.2.0">& LX ipſi XM
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              æqualis. </s>
              <s id="id.2.1.29.2.1.3.0">deinde propè
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              M inter MG quoduis
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              accipiatur punctum P.
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              fiatq; circumferentia PO
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              circumferentiæ AM æ­
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              qualis. </s>
              <s id="id.2.1.29.2.1.4.0">erit punctum O
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                <figure id="id.036.01.047.1.jpg" place="text" xlink:href="036/01/047/1.jpg" number="32"/>
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              propè A. </s>
              <s id="N11496">connectanturq; CL, CO, CM, CP, OP. </s>
              <s id="N11498">& à
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              puncto P ipſi OC perpendicularis ducatur PN. </s>
              <s id="id.2.1.29.2.1.4.0.a">& quoniam cir
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              cumferentia AM circumferentiæ OP eſt æqualis: erit angu­
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              lus
                <arrow.to.target n="note51"/>
              ACM æqualis angulo OCP; & angulus CXM rectus re­
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              cto CNP eſt æqualis: erit quoq; reliquus XMC trianguli MCX
                <arrow.to.target n="note52"/>
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              reliquo NPC trianguli PCN æqualis. </s>
              <s id="id.2.1.29.2.1.5.0">ſed & latus CM lateri
                <arrow.to.target n="note53"/>
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              CP eſt æquale: ergo triangulum MCX triangulo PCN æquale
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              erit. </s>
              <s id="id.2.1.29.2.1.6.0">latuſq; MX lateri NP æquale. </s>
              <s id="id.2.1.29.2.1.7.0">quare linea PN ipſi LX æqua
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              lis erit. </s>
              <s id="id.2.1.29.2.1.8.0">ducatur præterea à puncto O linea OT ipſi AC æqui
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              diſtans, quæ NP ſecet in V. </s>
              <s id="N114C5">atq; ipſi OT à puncto P perpendi
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              cularis ducatur, quæ quidem inter OV cadere non poteſt; nam
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              cùm angulus ONV ſit rectus; erit OVN acutus. </s>
              <s id="id.2.1.29.2.1.9.0">quare OVP
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              obtuſus erit. </s>
              <s id="id.2.1.29.2.1.10.0">non igitur linea à puncto P ipſi OT intra OV </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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