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

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              <s>
                <pb xlink:href="018/01/119.jpg" pagenum="105"/>
              conſiſtas angulos CAE, CBF obſeruaturus.
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                <figure id="id.018.01.119.1.jpg" xlink:href="018/01/119/1.jpg" number="29"/>
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              Quibus angulis obſer­
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              uatis intellige rectam
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              BF occurrere Tangen­
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              ti AE in G. </s>
              <s>In triangu­
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              lo itaque ABG angu­
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              lus AGB eſt notus, vt­
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              pote differentia duo­
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              rum obſeruatorum C
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              BG, CAG: angulus A
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              eſt obſeruatus, & data
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              eſt altitudo BA: ergo
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              inueniri poteſt quantitas rectæ BG. </s>
              <s>Iam du­
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              cantur rectæ CF, CE, & ſunt duo triangula
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              AEC, BFC rectangula, in quibus duo an­
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              guli EAC, ECA ſimul ſunt æquales duo­
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              bus FBC, FCB: Atqui angulus ECA eſt æ­
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              qualis duobus ECF, FCB; ergo tres ECF,
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              FCB, CAE ſunt æquales duobus FBC, FCB;
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              & dempto communi FCB, remanet FBC
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              æqualis duobus ECF, EAC. </s>
              <s>Eſt igitur ECF
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              differentia nota duorum obſeruatorum CAE,
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              CBF. </s>
              <s>Ducatur demùm recta CG. </s>
              <s>Et quo­
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              niam GF, GE ſunt tangentes circulum ab
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              eodem puncto exeuntes, inter ſe æquales
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              ſunt, ſicut & CF, CE ex centro ductæ; CG
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              verò eſt vtrique triangulo FCG, ECG com­
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              munis; ergo angulus ECF notus diuiditur à </s>
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          </chap>
        </body>
      </text>
    </archimedes>
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