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="id000865">
                <pb pagenum="48" xlink:href="015/01/067.jpg"/>
              gregatum unciarum exit unum, & tertia, ergo erit calida in princi­
                <lb/>
              pio ſecundi ordinis. </s>
              <s id="id000866">Secundum exemplum ſint eædem medicinæ,
                <lb/>
              & ſit proportio Geometrica, ducemus ergo quatuor in quatuor, &
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              fiunt ſexdecim, & duo in duo fiunt quatuor, detrahe quatuor ex ſex
                <lb/>
              decim, & remanent duodecim, diuide per ſex, ut prius, exeunt duo,
                <lb/>
              ergo erit calida in fine ſecundi gradus uides ergo diſcrimen. </s>
              <s id="id000867">rurſus
                <lb/>
              ſint ambæ medicinæ calidæ, & ducemus, ut prius in tertio exem­
                <lb/>
              plo, ubi proportio ſit Arithmetica iungendo duodecim cum qua­
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              tuor, & fient ſexdecim, diuide per ſex, exeunt duo, & duæ tertiæ, er­
                <lb/>
              go erit calida in medio tertij gradus, rurſus in quarto exemplo iun
                <lb/>
              gemus ſedecim cum quatuor, & fient uiginti, diuide per ſex exi­
                <lb/>
              bunt tria & tertia, & ita erit in medio tertij gradus, ut prius, ſed ſi
                <lb/>
              ille quatuor unciæ eſſent calidæ in quarto gradu, & illæ duæ unciæ
                <lb/>
              in ſecundo gradu, ut prius ducendo quatuor in quatuor fiunt ſex­
                <lb/>
              decim, & duo in duo fiunt quatuor, iunge, & fient uiginti, diuide
                <lb/>
              per ſex exeunt tria cum tertia, ergo erit calida in principio quarti
                <lb/>
              gradus ſecundum proportionem Arithmeticam, ſed ſecundum
                <lb/>
              Geometricam duc quatuor in octo, fiunt triginta duo, adde qua­
                <lb/>
              tuor ut prius, ſcilicet productum duorum in duo fiunt triginta ſex,
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              diuide per ſex, exeunt ſex, & quia ſex ad quatuor maiorem habent
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              proportionem, quàm octo ad ſex ideo hæc medicina erit calida ul­
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              tra medium quarti gradus, iam ergo uides rationem, & differen­
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              tiam horum.</s>
            </p>
            <p type="main">
              <s id="id000868">Quod ſi quis dicat, an debeat attendi Geometrica proportio in
                <lb/>
              medicamentis, an Arithmetica, reſpondeo, quòd ueriſimilius eſt de
                <lb/>
              Arithmetica, quia illa proportio etiam quod ſit minor quatuor ad
                <lb/>
              trium, quàm trium ad duo, & multò minor quàm duo ad unum ni­
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              hilominus longè plus operatur, quia tertius ordo iam incipit eſſe
                <lb/>
              præter naturam, & uidemus, quod læſio facta in uulnerato, etiam
                <lb/>
              quòd ſit quadruplo minor, plus nocet longè, quàm in ſano qua­
                <lb/>
              druplo maior: quia termini præter naturam ſunt ualdè anguſti in
                <lb/>
              comparatione ad latitudinem naturalem, ſicut etiam uidemus in­
                <lb/>
              tendendis chordis ſcorpionum, quod ultima pars eſt breuis & ta­
                <lb/>
              men homini tantam difficultatem adijcit. </s>
              <s id="id000869">Notandum eſt etiam,
                <lb/>
              quòd ob hoc diuiſerunt ordines in tres partes, uelut gingiber eſt
                <lb/>
              calidum in fine tertij ordinis, origanum in medio, cinamomum in
                <lb/>
              principio, & ita euphorbium eſt calidum in principio quarti gra­
                <lb/>
              dus, ſed in fine principij piper, in principio principij aqua ſepara­
                <lb/>
              tionis in medio quarti ordinis, ſed oleum chalcanthi factum ea ar­
                <lb/>
              te, ut exurat paleas, ſicut ignis eſt calidum in fine quarti ordinis, &
                <lb/>
              ita ſufficiet diuidere propter eandem cauſam primum, & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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