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>
            <pb pagenum="5" xlink:href="015/01/024.jpg"/>
            <p type="main">
              <s id="id000130">PRIMA Petitio.</s>
            </p>
            <p type="main">
              <s id="id000131">Si fuerit primi ad ſecundum, ut tertij ad quartum, & ex primo in
                <lb/>
              ſecundum producatur æquale, aut maius, aut minus primo, uel
                <lb/>
              ſecundo, producetur eodem modo ex tertio in quartum ęquale aut
                <lb/>
              maius, aut minus tertio, uel quarto eadem ratione & ordine.</s>
            </p>
            <p type="main">
              <s id="id000132">Secunda petitio.</s>
            </p>
            <p type="main">
              <s id="id000133">Proportiones poſſunt duci, diuidi, iungi, & auferri, & ſumi radix
                <lb/>
              in eis cuiuſcunque generis, atque earum quantitatis, ut libet, poſſe
                <lb/>
              tranſponere.</s>
            </p>
            <p type="main">
              <s id="id000134">Tertia petitio.</s>
            </p>
            <p type="main">
              <s id="id000135">Proportionis cuiuſuis nomen à denominatore ſuprà ſcripto, &
                <lb/>
              numeratore infrà ſcripto ſumitur.</s>
            </p>
            <p type="main">
              <s id="id000136">Quarta petitio.</s>
            </p>
            <p type="main">
              <s id="id000137">Diuiſa quauis quantitate per aliam eiuſdem generis, quod exit
                <lb/>
              proportio dicitur.</s>
            </p>
            <p type="main">
              <s id="id000138">Quinta petitio.</s>
            </p>
            <p type="main">
              <s id="id000139">Quęlibet proportio eſt uel inter duas quantitates, uel per unam
                <lb/>
              ſignificatur.</s>
            </p>
            <p type="main">
              <s id="id000140">Nam per tertiam petitionem ſi ſint duæ quantitates, quæ non ha
                <lb/>
              beant unius rationem, nomen ſumit proportio à duobus numeris,
                <lb/>
              ſin autem ſit altera monas, erit per ſecundam animi communem ſen
                <lb/>
              tentiam, proportio numerus ipſe Ideò patet, quod dicitur.</s>
            </p>
            <p type="main">
              <s id="id000141">Sexta petitio.</s>
            </p>
            <p type="main">
              <s id="id000142">Propoſita proportione quacunque, & monade quantitatem inue
                <lb/>
              nire, quæ ſe habeat ad monadem in proportione propoſita.</s>
            </p>
            <p type="main">
              <s id="id000143">Nam cùm per quartam petitionem diuiſa quantitate per quan­
                <lb/>
              titatem exeat proportio, & numerus ad
                <expan abbr="monadẽ">monadem</expan>
              ſe habeat, ut pro­
                <lb/>
              portio, ideo ſumpta monade ſecundum illum numerum, ille nume
                <lb/>
              rus eſt quantitas quæſita.</s>
            </p>
            <p type="main">
              <s id="id000144">Septima petitio.</s>
            </p>
            <p type="main">
              <s id="id000145">Quamlibet quantitatem per aliam eiuſdem generis diuidere
                <lb/>
              poſſe.</s>
            </p>
            <p type="main">
              <s id="id000146">Octaua petitio.</s>
            </p>
            <p type="main">
              <s id="id000147">Proportionem in proportionem ducere poſſe: quamuis ſint in­
                <lb/>
              ter quantitates diuerſi generis.</s>
            </p>
            <p type="main">
              <s id="id000148">Quod dicitur de multiplicatione intelligendum eſt de alijs ope­
                <lb/>
              rationibus ſuprà enumeratis.</s>
            </p>
            <p type="main">
              <s id="id000149">Nona petitio.</s>
            </p>
            <p type="main">
              <s id="id000150">Monadem ſemper ſumere in quo cunque genere poſſe propoſi­
                <lb/>
              ta proportione.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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