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="id002434">
                <pb pagenum="138" xlink:href="015/01/157.jpg"/>
              nuatim ſolum uſura adijcitur ſorti, ſufficiet diuidere 2 992/6283 per 15 35/492
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              ſcilicet multiplicando per 12 numerum menſium 2 992/6283 fit 25 5621/6283 di­
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              uide 25 5621/6283 per 15 35/492, exit menſis unus, & dies 21, detrahe ex 27 an­
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              nis, remanent anni 26, menſes 10, dies 9, in quo tempore habuit
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              4000 aureos coronatos. </s>
              <s id="id002435">Vſura autem fuit ut uiſum 13/70, igitur per re­
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              gulam trium duc 13 in 100 fit 1300, diuide 1300 per 70 exit 18 4/7 &
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              tanta fuit pro centum. </s>
              <s id="id002436">Et cum computaueris in tribus annis, acqui­
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              rit modico plus beſſe eius, quod habet. </s>
              <s id="id002437">Et ita in 13 annis, & parua
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              illa parte perueniet ad decuplum eius, quod habet, ſcilicet 4000 au
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              reorum, & habebit aureos 40000, ut propoſitum eſt.</s>
            </p>
            <p type="margin">
              <s id="id002438">
                <margin.target id="marg471"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id002439">
                <margin.target id="marg472"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              136.
                <lb/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              </s>
            </p>
            <table>
              <table.target id="table18"/>
              <row>
                <cell>Anni</cell>
                <cell>Aurei</cell>
              </row>
              <row>
                <cell>1</cell>
                <cell>1 13/70</cell>
              </row>
              <row>
                <cell>2</cell>
                <cell>1 67/165</cell>
              </row>
              <row>
                <cell>5</cell>
                <cell>2 7/23</cell>
              </row>
              <row>
                <cell>6</cell>
                <cell>2 118/161</cell>
              </row>
              <row>
                <cell>7</cell>
                <cell>3 14/61</cell>
              </row>
              <row>
                <cell>10</cell>
                <cell>5 3917/12566</cell>
              </row>
              <row>
                <cell>20</cell>
                <cell>31 38/61</cell>
              </row>
              <row>
                <cell>40</cell>
                <cell>1000</cell>
              </row>
            </table>
            <p type="head">
              <s id="id002440">SCHOLIVM.</s>
            </p>
            <p type="main">
              <s id="id002441">In propoſita proportione numero que terminorum rediuiuam u­
                <lb/>
              ſuram inuenire.</s>
            </p>
            <p type="main">
              <s id="id002442">Sit gratia exempli, in ſex annis uſura rediuiua uigeſimæ, erit­
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              qúe proportio 21/20, cuius numeratorem ſexies ducam in ſe primum
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              bis fit 441: ergo ducto 441 in ſe fit qúe 194481 ductum in 441
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              fit 85766121 ſexies ductum 21, quinquies autem ducam 20 deno­
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                <figure id="id.015.01.157.1.jpg" xlink:href="015/01/157/1.jpg" number="153"/>
                <lb/>
              minatorem in ſe fit bis 400, ter 8000,
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              quinquies ergo 3200000, diuide nume­
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              ratorem per denominatorem abiectis
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              quinque notis erit 26 2566121/3200000. Quæ propor
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              tio eſt proxima 26 4/5 ad 20, & ita ut 134 ad
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              100. Et ſi pigeret tædij aut laboris poſſes
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              pro xij annis, ducere 134 in ſe, & fit 17956
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              diuide per 100 eadem ratione, exit 179 14/25
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              & ita 100 in xij annis, fit tantundem. </s>
              <s id="id002443">Et
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              ita pro xviij & xx annis.</s>
            </p>
            <p type="main">
              <s id="id002444">Propoſitio centeſima quadrageſima tertia.</s>
            </p>
            <p type="main">
              <s id="id002445">Si linea in duas partes diuidatur, corpora, quæ fiunt ex una par­
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              te in alterius quadratum mutuò æqualia ſunt corpori, quod fit ex
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              tota linea in ſuperficiem unius partis in alteram.
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                <arrow.to.target n="marg473"/>
              </s>
            </p>
            <p type="margin">
              <s id="id002446">
                <margin.target id="marg473"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id002447">Sit a c diuiſa in a b, b c quadratum a b ſit
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                <figure id="id.015.01.157.2.jpg" xlink:href="015/01/157/2.jpg" number="154"/>
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              a d,
                <expan abbr="quadratũ">quadratum</expan>
              b c, ſit b e
                <expan abbr="parallelogrammũ">parallelogrammum</expan>
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              ex a b in b e, a f dico quòd corpora ex a b in
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              b e, & b c in a d æqualia ſunt corpori ex a c
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              in a f. </s>
              <s id="id002448">Quia enim corpus ex a c in a f conſtat
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              ex a b in a f, & b c in a f, per primam ſecun­</s>
            </p>
            <p type="main">
              <s id="id002449">
                <arrow.to.target n="marg474"/>
                <lb/>
              di Elementorum. </s>
              <s id="id002450">corpus autem ex a b in a f
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              eſt æquale corpori ex b c in a d, & corpus
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              ex b c in a f eſt æquale corpori ex a b in b c
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              igitur conſtat propoſitum.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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