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="id004457">
                <pb pagenum="262" xlink:href="015/01/281.jpg"/>
              igitur in mundo toto incorporeo non eſt numerus. </s>
              <s id="id004458">Si enim Deus
                <lb/>
              eſſet unus numero, non poſſet eſſe ens commune, & uniuerſim am­
                <lb/>
              plectens cuncta, & accidens contineret, quæ omnia ſunt falſa, abſur
                <lb/>
              da, nefaria & impia, licet tamen (ut dixi) menti humanæ quæ omnia
                <lb/>
              reducit ad ſimilitudinem ſenſilium, à quibus originem traxit ſuæ
                <lb/>
              operationis fingere numeros, ſicut in partibus hominis, aut cœli,
                <lb/>
              aut aeris iuxta ſitum, aut magnitudinem. </s>
              <s id="id004459">Eſt etiam alius modus
                <lb/>
              iuxta quem Ariſtoteles numerauit mentes quæ mouent corpora
                <lb/>
              cœleſtia, quod abſurdum non eſt, uelut ſi quis numeret digitos, in
                <lb/>
              pulſante chelim, erunt quatuor aut ſex, non tamen eſt numerus ille
                <lb/>
              uerè plurium, cum ad unum hominem referuntur. </s>
              <s id="id004460">Et cum ſit mun­
                <lb/>
                <arrow.to.target n="marg897"/>
                <lb/>
              dus hic imago ſuperioris, ut ille dicebat, & inferior poteſtate conti­
                <lb/>
              neat infinitas partes, infinitas ordinis ratione ſuperior continebit.
                <lb/>
              </s>
              <s id="id004461">Sed non infinitas numero. </s>
              <s id="id004462">Exempli gratia, proponamus quod So
                <lb/>
              lis uis dirigatur ad nos uſque impedita per nebulas, ut
                <expan abbr="nõnunquam">nonnunquam</expan>
                <lb/>
              contingit: erit ergo perfectio una, ſed ordinata omnium radiorum:
                <lb/>
              adeò quod ſi infinita uaſa applicarentur aqua plena infinitæ ratio­
                <lb/>
              nes iridis apparerent, quæ omnes continerentur poteſtate in radijs
                <lb/>
              illis ratione comparationis ad uaſa & irides, per ſe autem, ut ſunt
                <lb/>
              perfectiones eſſent in actu.</s>
            </p>
            <p type="margin">
              <s id="id004463">
                <margin.target id="marg895"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id004464">
                <margin.target id="marg896"/>
              S
                <emph type="italics"/>
              up.
                <emph.end type="italics"/>
              5.</s>
            </p>
            <p type="margin">
              <s id="id004465">
                <margin.target id="marg897"/>
              Lib. 7.
                <emph type="italics"/>
              cap.
                <emph.end type="italics"/>
                <lb/>
              4.</s>
            </p>
            <p type="main">
              <s id="id004466">Propoſitio ducenteſima trigeſima.</s>
            </p>
            <p type="main">
              <s id="id004467">Proportio incorporeorum aſcendentium ſemper maior eſt.
                <lb/>
                <arrow.to.target n="marg898"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004468">
                <margin.target id="marg898"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id004469">Cum proportio illa ſit quaſi ſimilis decori, & ideo muſicæ geo­
                <lb/>
                <arrow.to.target n="marg899"/>
                <lb/>
              metrica maior eſt in maioribus ac magnitudinibus, ut ſuprà docui­
                <lb/>
              mus. </s>
              <s id="id004470">Sed non eſt neque geometrica, neque arithmetica, nec muſica, nec
                <lb/>
              per recenſum, eſſent enim quantitates quæ
                <expan abbr="compararent̃">compararentur</expan>
              : unaquęque
                <lb/>
              enim harum inter quantitates conſtituta: at illa eſt ut producentis
                <lb/>
              ad productum. </s>
              <s id="id004471">Et non comparantur quoad æternitatem, quia ut
                <lb/>
              aliâs declaraui, omnis ſubſtantia eſt æterna: quanto magis incor­
                <lb/>
              porea. </s>
              <s id="id004472">Quia ergo primum per
                <expan abbr="præcedẽtem">præcedentem</expan>
              habet rationem totius,
                <lb/>
              & eſt infinitum,
                <expan abbr="ſecundũ">ſecundum</expan>
              ea parte qua recedit, quia primum non eſt,
                <lb/>
              plus diſtat a primo quam à tertio, igitur deſcendendo uſque ad pri­
                <lb/>
              ma elementa. </s>
              <s id="id004473">Sed obijcies de qualitatibus & accidentibus: dico
                <lb/>
              quod habent
                <expan abbr="mediũ">medium</expan>
              eſſe, licet tempore infinito uincantur à ſubſtan
                <lb/>
              tijs, illę tamen etiam uincuntur & abſque participatione perfectionis
                <lb/>
              illius cum
                <expan abbr="accidẽtia">accidentia</expan>
              participent eſſentia & tempore, & ſi quis dicat,
                <lb/>
              cur ergo Sol & lupiter
                <expan abbr="nõ">non</expan>
              ſunt locati in ſupremis orbibus, cum ſint
                <lb/>
              nobiliores & maiores & potentiores cæteris erraticis: dico quòd
                <lb/>
              fuit ob mundum inferiorem, quoniam ſi fuiſſent altiores mundus
                <lb/>
              inferior frigore corrumperetur, quando quidem uel ſic frigore pre­
                <lb/>
              mantur, in hyeme etiam ſub torrida plaga, & ſub polis ac iuxta eos </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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