Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/094.jpg" pagenum="80"/>
              æqualem interno RGI: inuento igitur RGI,
                <lb/>
              innoteſcit angulus, quem cum perpendicu­
                <lb/>
              lo facit linea viſualis AE. </s>
              <s>Cum itaque IE &
                <lb/>
              IG æquales ſint & ad angulum rectum, con­
                <lb/>
              ceptâ rectâ EG angulus EGI eſt gr. 45, cui
                <lb/>
              æqualis reliquus GEI additus angulo BEA gr.
                <lb/>
              60. fit totus angulus GER gr. 105; latus au­
                <lb/>
              tem EG ſubtendens angulum rectum, no­
                <lb/>
              tum eſt, cum nota ſint latera IG, & IE; de­
                <lb/>
              mum notum eſt latus ER. </s>
              <s>Quare ex notis
                <lb/>
              lateribus EG & ER vnâ cum angulo com­
                <lb/>
              prehenſo inuenitur angulus EGR, qui dem­
                <lb/>
              ptus ex EGI gr. 45. relinquit notum RGI
                <lb/>
              æqualem angulo SIB; & ſic innoteſcit angu­
                <lb/>
              lus SIE æqualis angulo, quem facit linea vi­
                <lb/>
              ſualis EA
                <expan abbr="cũ">cum</expan>
              lineâ AT iungente oculum ob­
                <lb/>
              ſeruatoris cum centro terræ. </s>
              <s>Cum igitur ſatis
                <lb/>
              amplum huiuſmodi triangulum facilè poſsi­
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              mus conſtruere, etiam additâ regulâ IG, &
                <lb/>
              alibi diuiſam vnciam habere poſsimus iņ
                <lb/>
              partes ſaltem centeſimas eâ methodo, quam
                <lb/>
              indicat Adrianus Metius in ſuâ Geometriâ,
                <lb/>
              patet fieri poſſe, vt quàm euidentiſsimè in­
                <lb/>
              noteſcat angulus ille, quem obſeruatum ſup­
                <lb/>
              ponebam ad inueſtigandam terræ magnitu­
                <lb/>
              dinem. </s>
              <s>Sed miſsis organis ad inſtitutum
                <lb/>
              redeamus. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Gal.
                <emph.end type="italics"/>
              </s>
              <s> Audiui haud ita pridem hominem, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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