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="id004341">
                <pb pagenum="254" xlink:href="015/01/273.jpg"/>
                <arrow.to.target n="marg878"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004342">
                <margin.target id="marg877"/>
              F
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              1</s>
            </p>
            <p type="margin">
              <s id="id004343">
                <margin.target id="marg878"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id004344">Ex quo ſequitur, quod in hoc toto tempore ueris & æſtatis, cùm
                <lb/>
              Sol in Meridie uideatur eſſe poſt tergum, & in Meridie, & dum ori
                <lb/>
              tur à parte Septentrionis. </s>
              <s id="id004345">Ergo ab ortu Solis ad Meridiem uidebi­
                <lb/>
              tur ferri motu diurno, linea obliqua à
                <expan abbr="Septẽtrione">Septentrione</expan>
              in Meridiem: &
                <lb/>
              à Meridie ad Occaſum, alia obliqua linea à Meridie in Septentrio­
                <lb/>
              nem: ut in figura, ut ſi Sol ſit in a in Oriente, b in Meridie, cin Occi­
                <lb/>
              dente, & uertex nobis in e.</s>
            </p>
            <p type="main">
              <s id="id004346">
                <arrow.to.target n="marg879"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004347">
                <margin.target id="marg879"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id004348">Sequitur etiam, quòd ſi tempore æſtatis
                <lb/>
                <figure id="id.015.01.273.1.jpg" xlink:href="015/01/273/1.jpg" number="279"/>
                <lb/>
              poſſemus in media nocte uidere Solem, in
                <lb/>
              cœli medio uideretur, tantundem uerſus bo
                <lb/>
              ream declinare, quantum in Meridie ad Me
                <lb/>
                <expan abbr="ridiẽ">ridiem</expan>
              . </s>
              <s id="id004349">Et hoc quia circulus æquinoctij b q d,
                <lb/>
              tanto borealior eſt in parte inferiore circulo
                <lb/>
              per uerticem, quanto in ſuperiori eſt auſtra­
                <lb/>
              lior: quoniam circuli magni ſe ſecant per æ­
                <lb/>
              qualia. </s>
              <s id="id004350">Et ſi hoc eſt uerum de Sole ſub æqui­
                <lb/>
              noctij circulo,
                <expan abbr="quãto">quanto</expan>
              magis erit uerum de Sole ſub tropico æſtiuo?</s>
            </p>
            <p type="main">
              <s id="id004351">
                <arrow.to.target n="marg880"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004352">
                <margin.target id="marg880"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 3.</s>
            </p>
            <p type="main">
              <s id="id004353">Ex præcedenti patet, q̊d Sol in media nocte borealior uideretur
                <lb/>
              ſub æquinoctij circulo tanto,
                <expan abbr="quãto">quanto</expan>
              uidetur auſtralior ſe ipſo, dum
                <lb/>
              eſt ſub tropico cancri, quia circuli ſe ſecant ad angulos oppoſitos
                <lb/>
              æquales: igitur ſi uerticis circulus maiorem facit angulum ſuperio­
                <lb/>
                <figure id="id.015.01.273.2.jpg" xlink:href="015/01/273/2.jpg" number="280"/>
                <lb/>
              rem cum æquinoctij quam tro</s>
            </p>
            <p type="main">
              <s id="id004354">
                <arrow.to.target n="marg881"/>
                <lb/>
              pici borealis circulo, igitur &
                <lb/>
              inferiorem: homo autem & ui­
                <lb/>
              ſus iudicat auſtrale & boreale
                <lb/>
              iuxta inclinationem circuli du
                <lb/>
              cti per
                <expan abbr="locũ">locum</expan>
              Solis ad circulum
                <lb/>
              ductum per locum uerticis.</s>
            </p>
            <p type="margin">
              <s id="id004355">
                <margin.target id="marg881"/>
              P
                <emph type="italics"/>
              er funilem
                <emph.end type="italics"/>
                <lb/>
              15.
                <lb/>
              P
                <emph type="italics"/>
              ropoſ. pri­
                <lb/>
              mi
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id004356">Propoſitio CCXXL</s>
            </p>
            <p type="main">
              <s id="id004357">Magnitudo Lunæ & cæte­
                <lb/>
              rorum
                <expan abbr="aſtrorũ">aſtrorum</expan>
              dignoſcitur ex
                <lb/>
              proportione aliorum ad eam
                <lb/>
              iuxta diſtantiam: ipſius uerò
                <lb/>
              iuxta rationem pupillę ad Lu­
                <lb/>
              nam diſtantiæ ratione.
                <lb/>
                <arrow.to.target n="marg882"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004358">
                <margin.target id="marg882"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id004359">Sit pupilla a b, quæ in circu­
                <lb/>
              lo l m, poſita in eodem centro,
                <lb/>
              comprehendat portionem no
                <lb/>
              tam l m, ideo clauſo oculo alte­
                <lb/>
              ro eandem portionem uidebit
                <lb/>
              totius cœli, ut liquet ex demon </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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