DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N1043F">
            <p id="id.2.1.29.2.0.0.0" type="main">
              <s id="id.2.1.29.2.1.10.0">
                <pb xlink:href="036/01/048.jpg"/>
              perpendicularis cadet. </s>
              <s id="id.2.1.29.2.1.11.0">
                <lb/>
              duo enim anguli vnius
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              trianguli, vnus quidem
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              rectus, alter verò ob­
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              tuſus eſſet. </s>
              <s id="id.2.1.29.2.1.12.0">quod eſt im
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              poſsibile. </s>
              <s id="id.2.1.29.2.1.13.0">cadet ergo in
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              linea OT in parte VT. </s>
              <s id="id.2.1.29.2.1.13.0.a">ſitq; PT.
                <lb/>
              </s>
              <s id="N114EF">erit PT ſecun
                <lb/>
              dùm ipſos rectus circum
                <lb/>
              ferentiæ OP deſcenſus. </s>
              <s id="id.2.1.29.2.1.14.0">
                <lb/>
              Quoniam igitur angulus
                <lb/>
              ONV eſt rectus; erit
                <lb/>
                <arrow.to.target n="note55"/>
              linea OV ipſa ON ma
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              ior. </s>
              <s id="id.2.1.29.2.1.15.0">quare OT ipſa
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                <figure id="id.036.01.048.1.jpg" place="text" xlink:href="036/01/048/1.jpg" number="33"/>
                <lb/>
              quoq; ON maior exiſtet. </s>
              <s id="id.2.1.29.2.1.16.0">Cùm itaq; linèa OP angulos ſubten­
                <lb/>
              dat rectos ONP OTP; erit quadratum ex OP quadratis ex
                <lb/>
                <arrow.to.target n="note56"/>
              ON NP ſimul ſumptis æquale. </s>
              <s id="id.2.1.29.2.1.17.0">ſimiliter quadratis ex OT TP
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              ſimul æquale. </s>
              <s id="id.2.1.29.2.1.18.0">quare quadrata ſimul ex ON NP quadratis ex
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              OT TP ſimul æqualia erunt. </s>
              <s id="id.2.1.29.2.1.19.0">quadratum autem ex OT maius
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              eſt quadrato ex ON; cum linea OT ſit ipſa ON maior. </s>
              <s id="id.2.1.29.2.1.20.0">ergo qua
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              dratum ex NP maius erit quadrato ex TP. </s>
              <s id="N1152B">ac propterea linea
                <lb/>
              TP minor erit linea PN, & linea LX. </s>
              <s id="N1152F">minus obliquus igitur eſt
                <lb/>
              deſcenſus arcus LA, quàm arcus OP. </s>
              <s id="id.2.1.29.2.1.20.0.a">ergo pondus in L, ex ip
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              ſorum dictis, grauius erit, quàm in O. quod ex iis, quæ ſupra di
                <lb/>
              ximus eſt manifeſtè falſum, cùm pondus in O grauius ſit, quàm
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              in L. </s>
              <s id="id.2.1.29.2.1.20.0.b">non igitur ex rectiori, & obliquiori motu ita accepto col­
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              ligi poteſt, ſecundùm ſitum pondus grauius eſſe, quantò in eo
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              dem ſitu minus obliquus eſt deſcenſus. </s>
              <s id="id.2.1.29.2.1.21.0">Atq; hinc oritur omnis
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              fermé ipſorum error in hac re, atq; deceptio: nam quamuis per
                <lb/>
              accidens interdum ex falſis ſequatur verum, per ſe tamen ex fal
                <lb/>
              ſis falſum ſequitur, quemadmodum ex veris ſemper verum, nil
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              idcirco mirum, ſi dum falſa accipiunt; illiſq; tanquam veriſsi­
                <lb/>
              mis innituntur; falſiſsima omninò colligunt, atq; concludunt. </s>
              <s id="id.2.1.29.2.1.22.0">
                <lb/>
              decipiuntur quinetiam, dùm libræ contemplationem mathemati
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              cè ſimpliciter aſſummunt; cùm eius conſideratio ſit prorſus me­
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              chanica: nec vllo modo abſq; vero motu, ac ponderibus (en­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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