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="id000850">
                <pb pagenum="46" xlink:href="015/01/065.jpg"/>
              mectant, quia magis penetrat uis medicamenti, & hæc regula de
                <lb/>
              humido, & ſicco eſt generalis apud Serapionem, quod non intelli­
                <lb/>
              gitur ordo in paſsiuis, niſi ſpecialiter exprimatur, nam de ſiccitate
                <lb/>
              non nego, quin inueniantur medicinæ ſiccæ in tertio, & forſan in
                <lb/>
              quarto ordine, ſed de hac Galeni oſcitantia, quæ in illo peculiaris
                <lb/>
              eſt dum uult ſequi ſuas methodos ſine alio diſcrimine, medicis con
                <lb/>
              ſiderandum relinquo.</s>
            </p>
            <p type="margin">
              <s id="id000851">
                <margin.target id="marg148"/>
              C
                <emph type="italics"/>
              ap. </s>
              <s id="id000852">ult.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000853">
                <margin.target id="marg149"/>
              C
                <emph type="italics"/>
              ap.
                <emph.end type="italics"/>
              336.
                <lb/>
              337. &
                <lb/>
              338.</s>
            </p>
            <p type="main">
              <s id="id000854">Secunda difficultas eſt maior, & magis pertinet ad nos, & eſt,
                <lb/>
              quòd non declarauit an iſti ordines inter ſe
                <expan abbr="aliquã">aliquam</expan>
              proportionem
                <lb/>
              ſeruarent, an omnino nullam, ſi enim nulla proportio ſeruatur, fieri
                <lb/>
              nullo modo poteſt, ut per cognitionem temperaturæ ſimplicium
                <lb/>
              medicamentorum cognoſcamus temperaturam compoſitorum ex
                <lb/>
              illis ratione ulla, ſed oportebit ſolum experiri. </s>
              <s id="id000855">Sed ſi ordines ſer­
                <lb/>
              uant proportionem, adhuc relinquitur dubium, an illa proportio
                <lb/>
              ſit Arithmetica, uel Geometrica, uel Muſica, & nihil mirum eſſet,
                <lb/>
              quod eſſet Muſica, ut aliâs docuimus, ubi tractauimus de differen­
                <lb/>
              tia inter ſenſum auditus, et uiſus. </s>
              <s id="id000856">Sed quia de hac nullus medicus ui
                <lb/>
              detur intellexiſſe, omittam hanc tractationem. </s>
              <s id="id000857">Et quanquàm Gale­
                <lb/>
              nus poſsit uideri non exiſtimaſſe, quòd hi ordines non ſeruent
                <lb/>
              proportionem ullam, quia non auſus eſt tractare de temperamen­
                <lb/>
              to medicamentorum compoſitorum per rationem temperamen­
                <lb/>
              ti ſimplicium, nihilominus ſuppoſito quod ita eſſet, quod ſeruetur
                <lb/>
              altera proportionum, uolo oſtendere rationem componendi in
                <lb/>
              utraque proportione & Arithmetica, & Geometrica. </s>
              <s id="id000858">Ex quo ſe­
                <lb/>
              quitur, quod Aueroes quàm oſcitanter tractauerit in quinto ſuo­
                <lb/>
              rum collectaneorum de hoc, & non diſtinguit, neque docet pri­
                <lb/>
              mum an ſit aliqua proportio, deinde ſi qua ſit, cuius generis ſit, &
                <lb/>
              cum in re tam clara pugnet prorſus, ut cœcus ictus maximos eden­
                <lb/>
              do, ſed in caſſum pleroſque, quàm malè agant qui ei in arduis tan­
                <lb/>
              tum tribuunt fidei, & authoritatis, ſed hæc eſt infelicitas noſtra, &
                <lb/>
              ira Deorum. </s>
              <s id="id000859">Suppoſito ergo quod primò ordines diſtinguantur
                <lb/>
              per proportionem arithmeticam, ſit ſuperficies a b pro quantitate,
                <lb/>
                <figure id="id.015.01.065.1.jpg" xlink:href="015/01/065/1.jpg" number="60"/>
                <lb/>
              & a ſit calida in primo gradu, & b in ter­
                <lb/>
              tio, erit ergo perinde ac ſi duo corpora
                <lb/>
              eſſent unum altitudinis unius cum baſi
                <lb/>
              quadrilatera rectangula a, aliud altitu­
                <lb/>
              dinis trium, baſi autem quadrilatera ſu­
                <lb/>
              perficie rectangula b, hoc igitur erit to­
                <lb/>
              tum miſtum, & quia quantitas medicamenti non mutatur quæ eſt
                <lb/>
              a, b, ergo talia corpora æquantur uni corpori, cuius baſis eſt a b,
                <lb/>
              cum ergo talia corpora producantur ex a in unum, & b in tria, ergo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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