Valerio, Luca, De centro gravitatis solidorum, 1604

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            <pb xlink:href="043/01/032.jpg" pagenum="24"/>
            <p type="main">
              <s>Sit fruſtum ABCFGH, pyramidis, vel coni ABCD,
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              cuius baſis triangulum, vel circulus ABC, axis autem
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              DE: & vt eſt AC ad FH, ita ſit FH ad N, & fru­
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              ſti axis EK, nec non idem pyramidis, vel coni AB
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              CK, vt ſit eadem altitudo. </s>
              <s>Dico fruſtum ABCF
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              GH, ad pyramidem, vel conum, ABCK, eſse vt
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              tres lineas AC, FH, NO, ſimul ad ipſius AC, tri­
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              plam: ad priſma autem, vel cylindrum, cuius baſis ABC,
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              altitudo autem eadem cum fruſto, vttres AC, FH, NO,
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              ſimul, ad ipſius AC, triplam. </s>
              <s>Nam vt eſt AC ad FH,
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              & FH ad NO, ita ſit NO ad P: & exceſſus, quo hæ
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                <figure id="id.043.01.032.1.jpg" xlink:href="043/01/032/1.jpg" number="17"/>
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              quatuor lineæ differunt, ſint AL, FM,
                <expan abbr="Oq.">Oque</expan>
              Ergo
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              vt AC ad FH, ita erit AL ad FM, & FM ad
                <expan abbr="Oq.">Oque</expan>
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              Quoniam igitur eſt vt AC ad P, ita pyramis, vel conus
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              ABCD, ad ſimilem ipſi pyramidem, vel conum DFGH,
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              ob triplicatam laterum homologorum proportionem; erit
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              diuidendo, vt tres AL, FM, OQ, ſimul ad P, ita fru­
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              ſtum ABCFGH, ad pyramidem, vel conum DFGH:
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              ſed conuertendo eſt vt P, ad AC, ita pyramis, vel conus
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              DFGH, ad pyramidem, vel conum ABCD: ex æquali
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              igitur, vt tres AL, FM, OQ, ſimul ad AC, ita fruſtum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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