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="1" xlink:href="015/01/020.jpg"/>
            <p type="head">
              <s id="id000042">HIERONYMI CAR
                <lb/>
              DANI MEDIOLANENSIS, CI­
                <lb/>
              VISQVE BONONIENSIS, MEDICI
                <lb/>
              de Proportionibus, ſeu Ope­
                <lb/>
              ris Perfecti
                <lb/>
              LIBER QVINTVS.</s>
            </p>
            <p type="main">
              <s id="id000043">Prima diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000044">Proportio ab Euclide ſic deſcribitur, Quòd
                <lb/>
              ſit duarum quantitatum eiuſdem generis,
                <lb/>
              quod ad magnitudinem attinet, compara­
                <lb/>
              tio certa.</s>
            </p>
            <p type="main">
              <s id="id000045">Secunda diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000046">Proportiones per ſimilitudinem
                <expan abbr="dicũtur">dicuntur</expan>
              ,
                <lb/>
              cùm quantitas quantitati
                <expan abbr="comparat̃">comparatur</expan>
              alterius
                <lb/>
              generis, cui fingitur æqualis eſſe poteſtate.</s>
            </p>
            <p type="main">
              <s id="id000047">Velut ſi a b fingatur monas in comparatione
                <lb/>
              ad b c erit rectangulum a c æquale lineæ b c.</s>
            </p>
            <figure id="id.015.01.020.1.jpg" xlink:href="015/01/020/1.jpg" number="1"/>
            <p type="main">
              <s id="id000048">Tertia diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000049">Proportio æqualis proportioni eſt, cùm eodem modo termini
                <lb/>
              ſe habent inuicem in utraque</s>
            </p>
            <p type="main">
              <s id="id000050">Quarta diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000051">Proportiones ſecundum genus notæ dicuntur, cùm nouimus,
                <lb/>
              quòd ſint maiores, aut minores. </s>
              <s id="id000052">Nam cùm æquales ſunt, ſimul ne
                <lb/>
              ceffe eſt, ut cognoſcamus genus, & ſpeciem.</s>
            </p>
            <p type="main">
              <s id="id000053">Quinta diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000054">Datum poſitione eſt: quod neceſſariò ex poſitis certam habet
                <lb/>
              quantitatem.</s>
            </p>
            <p type="main">
              <s id="id000055">Sexta diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000056">Datum ſimpliciter dicitur, quod ex propoſitis cognoſci poteſt,
                <lb/>
              quantum ſit.</s>
            </p>
            <p type="main">
              <s id="id000057">Septima diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000058">Proportiones poteſtate
                <expan abbr="dicunt̃">dicuntur</expan>
              , quæ ſub comparatione aliarum
                <lb/>
                <expan abbr="quantitatũ">quantitatum</expan>
              neceſſariam habentium
                <expan abbr="cõnexionem">connexionem</expan>
                <expan abbr="ſolũ">ſolum</expan>
                <expan abbr="cognoſcunt̃">cognoſcuntur</expan>
              .</s>
            </p>
            <p type="main">
              <s id="id000059">Hæ autem ſunt aliquando eiuſdem generis, cum primis ut nu­
                <lb/>
              meri: aliquandò alterius, ut linearum & ſuperficierum, angulorum,
                <lb/>
              & arcuum: aliquando eiuſdem generis, & diuerſarum ſpecierum,
                <lb/>
              ut arcuum per ſinus, qua utuntur Aſtronomi.</s>
            </p>
            <p type="main">
              <s id="id000060">Octaua diffinitio.</s>
            </p>
            <p type="main">
              <s id="id000061">Proportio homonyma dicitur duarum quantitatum diuerſi ge</s>
            </p>
            <p type="main">
              <s id="id000062">
                <arrow.to.target n="marg1"/>
                <lb/>
              neris, ſed alterius a b altero dependentium, uelut motus ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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