Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id004244">
                <pb pagenum="247" xlink:href="015/01/266.jpg"/>
              c a, quæ ſecent peripheriam in d & e, dico quod
                <lb/>
              punctum h eſt medium inter e & l, item inter d & </s>
            </p>
            <p type="main">
              <s id="id004245">
                <arrow.to.target n="marg863"/>
                <lb/>
              k. </s>
              <s id="id004246">Nam cum h f & h b ſint æquales ex ſuppoſito,
                <lb/>
                <arrow.to.target n="marg864"/>
                <lb/>
              & anguli b h a & g h a æquales, & linea h a com­
                <lb/>
                <arrow.to.target n="marg865"/>
                <lb/>
              munis, erit angulus b a h æqualis f a h, igitur ar­
                <lb/>
              cus h l æqualis arcui h e. </s>
              <s id="id004247">Similiter angulus g h a
                <lb/>
              eſt æqualis e h a & c h æqualis h g exſuppoſito, &
                <lb/>
              a h communis, igitur ut ſuprà angulus c a h æqua­
                <lb/>
              lis g a h, igitur per eandem arcus h k æqualis arcui
                <lb/>
              h d, quare h punctum in medio d & k, & in medio
                <lb/>
              etiam e & l, quod eſt probandum.</s>
            </p>
            <p type="margin">
              <s id="id004248">
                <margin.target id="marg863"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              210.</s>
            </p>
            <p type="margin">
              <s id="id004249">
                <margin.target id="marg864"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              pri­
                <lb/>
              mi
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004250">
                <margin.target id="marg865"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              26.
                <emph type="italics"/>
              ter­
                <lb/>
              tij
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.015.01.266.1.jpg" xlink:href="015/01/266/1.jpg" number="272"/>
            <p type="main">
              <s id="id004251">Propoſitio ducenteſima ſexta decima.</s>
            </p>
            <p type="main">
              <s id="id004252">Si fuerint circuli duo inæquales, & extra utrunque punctum a d il­
                <lb/>
              lud ex minore reflexè per magnam partem minoris à maiore perue
                <lb/>
              nire poterunt.</s>
            </p>
            <figure id="id.015.01.266.2.jpg" xlink:href="015/01/266/2.jpg" number="273"/>
            <p type="main">
              <s id="id004253">Sint duo circuli, maior a b, mi­
                <lb/>
                <arrow.to.target n="marg866"/>
                <lb/>
              nor c d, &
                <expan abbr="punctũ">punctum</expan>
              g, extra utrun­
                <lb/>
              que, dico quod a d g ex c d
                <expan abbr="pote­rũt">pote­
                  <lb/>
                runt</expan>
              reflexè produci a b in c d, quia
                <lb/>
              enim ex a b quibuſuis punctis
                <lb/>
              poſſunt duci lineæ reflexè ex c d,
                <lb/>
              & ideo cum puncta in a b uarient
                <lb/>
              reflexionem ex c d, aliter pars eſ­
                <lb/>
              ſet æqualis toti, patet intentum.</s>
            </p>
            <p type="margin">
              <s id="id004254">
                <margin.target id="marg866"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id004255">Ex hoc patet, quod oculus in
                <lb/>
                <arrow.to.target n="marg867"/>
                <lb/>
              quauis parte terræ conſtitutus, in
                <lb/>
              qua Lunam uidere poſsit, poterit
                <lb/>
              eam uidere per radios reflexos à
                <lb/>
              Sole.</s>
            </p>
            <p type="margin">
              <s id="id004256">
                <margin.target id="marg867"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              _{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id004257">Ex hoc rurſus patet, quod
                <expan abbr="eodẽ">eodem</expan>
              modo oculus poterit uidere ſu­
                <lb/>
                <arrow.to.target n="marg868"/>
                <lb/>
              perficiei Lunę illuminatę
                <expan abbr="partẽ">partem</expan>
              p radios reflexos à Solis corpore.</s>
            </p>
            <p type="margin">
              <s id="id004258">
                <margin.target id="marg868"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              _{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id004259">Hoc patet, quoniam ſi circuli Solis ſinguli, qui illuminant
                <expan abbr="Lunã">Lunam</expan>
                <lb/>
                <arrow.to.target n="marg869"/>
                <lb/>
              oſtendunt per primum corrolarium huius
                <expan abbr="partẽ">partem</expan>
              circuli Lunæ per
                <lb/>
              radios Solis reflexos ab ipſa Luna, putà ſecundum portionem cir­
                <lb/>
              culi e f, igitur cum liceat in Sole accipere magnam partem ſuperfi­
                <lb/>
              ciei eius, quæ Lunam illuminat, in qua continentur infinitæ por­
                <lb/>
              tiones circulorum, & hæ ſingulæ mittunt radios reflexos ex Luna
                <lb/>
              ad punctum g, igitur g uidebit portionem ſuperficiei Lunæ ſecun­
                <lb/>
              dum longitudinem e f per radios Solares à Luna reflexos: quod
                <lb/>
              eſt propoſitum.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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