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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            <p type="main">
              <s id="id002896">
                <pb pagenum="165" xlink:href="015/01/184.jpg"/>
              e h ad f g, igitur b c proportio dimetientis ad f g dimetientem nota.
                <lb/>
                <arrow.to.target n="marg571"/>
                <lb/>
              Quare ſphæræ b c ad f g ſphæram. </s>
              <s id="id002897">at nota eſt proportio f g ad e h
                <lb/>
              dimetientium igitur & ſphærarum: igitur nota eſt f g ſphæræ ad or
                <lb/>
              bem e h, igitur cum nota ſit proportio orbis ad a d ſphæram b c, &
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              b c ſphæræ ad f g ſphæram, & f g ſphæræ ad orbem e h, erit propor
                <lb/>
              tio orbis a d ad orbem e h nota, quod eſt propoſitum.</s>
            </p>
            <p type="margin">
              <s id="id002898">
                <margin.target id="marg569"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id002899">
                <margin.target id="marg570"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              18.
                <emph type="italics"/>
              duo
                <lb/>
              decimi
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id002900">
                <margin.target id="marg571"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              22.
                <lb/>
                <emph type="italics"/>
              quinti
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <lb/>
              </s>
              <s id="id002901">&
                <emph.end type="italics"/>
              A
                <emph type="italics"/>
              lizam.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id002902">Propoſitio centeſima ſexageſima tertia.</s>
            </p>
            <p type="main">
              <s id="id002903">Proportionem uirium ſtellarum per motus ſuos indagare.</s>
            </p>
            <p type="main">
              <s id="id002904">Mouentur ſtellæ omnes ab Oriente in Occidentem die una, qui
                <lb/>
                <arrow.to.target n="marg572"/>
                <lb/>
              motus fit à prima mente, quæ mouet: ideò quod ad hoc attinet non
                <lb/>
              eſt diuerſitas: uerùm in motibus ab Occidente in Orientem
                <expan abbr="cũ">cum</expan>
              ſint
                <lb/>
              proprij, oportet conſiderare tempus, in quo
                <expan abbr="circumuertũtur">circumuertuntur</expan>
              , & ma
                <lb/>
              gnitudinem ambitus, & inde magnitudinem orbis, qui circumagi­
                <lb/>
              tur, & horum trium facta comparatione dignoſcitur robur uirium
                <lb/>
              ſtellarum & uitarum quæ mouent eas. </s>
              <s id="id002905">Ponatur ergo, ut uelim pro­
                <lb/>
              portionem uitę Saturni ad uitam Lunæ: erit ergo (ut docet Alphra
                <lb/>
                <arrow.to.target n="marg573"/>
                <lb/>
              ganus) Luna, cum eſt in longitudine propiore, altitudinem habens
                <lb/>
              109000 M.P. & cum eſt in longitudine longiore 208500, tota igitur
                <lb/>
              dimetiens 417000 M.P. mane 218000 M.P. </s>
              <s id="id002906">Igitur proportio ſolida­
                <lb/>
              rum ſphærarum eſt uelut 72511713 ad 10360232, remanebit ergo
                <lb/>
              proportio orbis ad ſphæram elementorum, ut 62151481 ad
                <lb/>
              10360232, & eſt ſexcuplum fermè. </s>
              <s id="id002907">Rurſus proportio dimetientis al­
                <lb/>
              titudinis Saturni ad contentum eſt uelut 2011 ad 1440, & eſt propè
                <lb/>
              201 ad 114, quare 67 ad 38, quare ſphærarum ut 300000 ad 55000
                <lb/>
              ferme. </s>
              <s id="id002908">Igitur ferè ut 60 ad 11. Rurſus proportio dimetientis ſphæ­
                <lb/>
              ræ Saturni ad dimetientem ſphæræ Lunæ eſt propè 313, & ſphæra­
                <lb/>
              rum ſolidarum 306 317 10. Perinde eſt. </s>
              <s id="id002909">Quia ergo proportio ſphæ­
                <lb/>
              ræ Saturni ad ſphæram Lunæ eſt 30631710, & orbis Lunæ eſt 5/6
                <lb/>
              ſolum ſphæræ ſuæ diuidemus 30631710 per 5/6, & exibit proportio
                <lb/>
              ſphæræ Saturni ad orbem Lunæ 36758052, at quia proportio ſo­
                <lb/>
              lidæ ſphæræ Saturni ad contentum eſt ut 60 ad 11, erit ſphæræ ad
                <lb/>
              orbem, ut 60 ad 49 reſiduum, diuidam ergo 36758052 per 60, exe­
                <lb/>
              unt 612634, & ducam per 49, id eſt per 100, fit 61263400, & diuiden
                <lb/>
              do per 2, exit 30631700, detraho 612634, relinquitur proportio or­
                <lb/>
              bis Saturni ad orbem Lunæ 30019066.</s>
            </p>
            <p type="margin">
              <s id="id002910">
                <margin.target id="marg572"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id002911">
                <margin.target id="marg573"/>
              D
                <emph type="italics"/>
              iff.
                <emph.end type="italics"/>
              21.</s>
            </p>
            <p type="main">
              <s id="id002912">Iam uerò circuitus Saturni ad circulum Lunæ, proportio eſt 313,
                <lb/>
              ut uiſum eſt, Lunæ autem tempus per ſex ductum eſt 164 dies, Sa­
                <lb/>
              turni 177 anni propemodum, qui ſunt dies 64649 diuide, duc
                <lb/>
              ergo 313 in 164, fiunt 51332. Idem ergo peragrat Luna in
                <lb/>
              51332 diebus, quod Saturnus in 64649, & eſt quo ad hoc </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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