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="id003037">
                <pb pagenum="174" xlink:href="015/01/193.jpg"/>
              nantiarum percipit perfectam diapaſon. </s>
              <s id="id003038">Videamus ergo an aliquid ſit
                <lb/>
              ſimile in animæ facultatibus, nec
                <expan abbr="dubiũ">dubium</expan>
              eſt quin ex ſenſibus. </s>
              <s id="id003039">exterioribus
                <lb/>
              atque interioribus fiat intelligentia. </s>
              <s id="id003040">Et ſenſus
                <expan abbr="quidẽ">quidem</expan>
              exteriores ſexquiter
                <lb/>
              tia
                <expan abbr="cõſtant">conſtant</expan>
              : eſt enim
                <expan abbr="illorũ">illorum</expan>
              imperfecta cognitio: maior longè memorię
                <lb/>
              unius & rationis reliquarumque
                <expan abbr="facultatũ">facultatum</expan>
              , ex quibus
                <expan abbr="intelligẽtia">intelligentia</expan>
              oritur.
                <lb/>
              </s>
              <s id="id003041">Iam uerò habemus exactam
                <expan abbr="ſimilitudinẽ">ſimilitudinem</expan>
              facultatum animę humanę,
                <expan abbr="q̃">quae</expan>
                <lb/>
              cognoſcit. </s>
              <s id="id003042">Nunc ulterius procedamus et uideamus, an ſit aliqua
                <expan abbr="etiã">etiam</expan>
              con
                <lb/>
              iunctio inter illas, nam ſimilitudo etſi ſit una originis cauſa, non tamen
                <lb/>
              ſola digna eſt ut à Philoſopho
                <expan abbr="numeret̃">numeretur</expan>
              inter cauſas ordinis & natura­
                <lb/>
              lis uinculi. </s>
              <s id="id003043">Non eſt ut
                <expan abbr="tetrachordorũ">tetrachordorum</expan>
              genera ad partes animę
                <expan abbr="cõparen­tur">comparen­
                  <lb/>
                tur</expan>
              ,
                <expan abbr="cũ">cum</expan>
              ſint uoluntaria diuiſione, non natura conſtituta. </s>
              <s id="id003044">Sed ſi quis hoc
                <lb/>
              uelit, magis ad rationem proprietatis reſpiciat, ſuauitas in chromatico,
                <lb/>
              ſubtilitas in Enarmonico, ſtabilitas in diatonico: Vt
                <expan abbr="Enarmonicũ">Enarmonicum</expan>
              ad
                <lb/>
              mentem uerè referri poſsit,
                <expan abbr="chromaticũ">chromaticum</expan>
              ad ſenſus:
                <expan abbr="diatonicũ">diatonicum</expan>
              ad
                <expan abbr="uitã">uitam</expan>
              na
                <lb/>
              turalemque facultatem. </s>
              <s id="id003045">Sed, ut dixi, iam propius accedamus,
                <expan abbr="cõcitatior">concitatior</expan>
              ſo
                <lb/>
              nus, ut Doricus ad alacritatem pertinet, ad pugnam, ad uim animę ira­
                <lb/>
              ſcibilis: Phrygius ad
                <expan abbr="uoluptatẽ">uoluptatem</expan>
              , Lydius ad intelligentiam remiſsione
                <lb/>
                <expan abbr="corporeorũ">corporeorum</expan>
              affectuum. </s>
              <s id="id003046">Sed
                <expan abbr="nõ">non</expan>
              quęrere decet aut laborare, ut malè in­
                <lb/>
              uenta aut diſtributa aptemus ordini naturę, ſed ut res rebus. </s>
              <s id="id003047">Diximus
                <lb/>
              quatuor eſſe
                <expan abbr="differẽtias">differentias</expan>
                <expan abbr="nobiliorũ">nobiliorum</expan>
                <expan abbr="affectuũ">affectuum</expan>
              animi, ſcilicet, timoris, ſpei,
                <lb/>
                <expan abbr="iracũdię">iracundię</expan>
              ſeu ſęuitię &
                <expan abbr="cõmiſerationis">commiſerationis</expan>
              , lętitię, triſtitię, impetus ac remiſ­
                <lb/>
              ſionis. </s>
              <s id="id003048">Et
                <expan abbr="uidet̃">uidetur</expan>
              muſica nec hoc ęqualiter monere, ſed
                <expan abbr="primũ">primum</expan>
              uideamus
                <lb/>
              an hi ſoli affectus ſint maximi, quippe deeſſe
                <expan abbr="uident̃">uidentur</expan>
              amor atque odium.
                <lb/>
              </s>
              <s id="id003049">Et mihi dubium non eſt quin hi potentiſsimi ſint
                <expan abbr="omniũ">omnium</expan>
              præter
                <expan abbr="metũ">metum</expan>
              .
                <lb/>
              </s>
              <s id="id003050">Sed metus
                <expan abbr="cũ">cum</expan>
              cauſa, affectus propriè
                <expan abbr="nõ">non</expan>
              eſt, ſed potius ſcientia
                <expan abbr="quædã">quædam</expan>
              .
                <lb/>
              </s>
              <s id="id003051">Proprium enim perturbationum eſt excedere rationem: at metus mor
                <lb/>
              tis, proprię aut de filio, non eſt à ratione alienús, nec excedit metas, modò
                <lb/>
              inanis non ſit aut falſus, ob hoc metum excludemus ab hoc negocio:
                <lb/>
              tum maximè ob id quod nulla muſica eſt quæ
                <expan abbr="metũ">metum</expan>
              excitet cùm ea,
                <expan abbr="nõ">non</expan>
                <lb/>
              opus ſit in eo, qui ſit cum ratione coniunctus. </s>
              <s id="id003052">Indicio eſt quae potius
                <expan abbr="illũ">illum</expan>
                <lb/>
              excudit abrupta muſica, ſicut & omnia alia quæ perturbant rationem,
                <lb/>
              ueluti
                <expan abbr="ſolanũ">ſolanum</expan>
              & madrangora atque cicuta. </s>
              <s id="id003053">Amorem igitur & odium
                <expan abbr="nõ">non</expan>
                <lb/>
              excitat muſica, quia amor & odium alicuius ſunt amor & odium, muſi
                <lb/>
              ca
                <expan abbr="aũt">aunt</expan>
              generales ſolum mouet animi affectus. </s>
              <s id="id003054">Et commiſeratio, licet ſit
                <lb/>
              Didonis aut Phillidis, tamen eſt generaliter miſerentis. </s>
              <s id="id003055">Quęramus er­
                <lb/>
              go rurſus qui ſint affectus generales animi. </s>
              <s id="id003056">Et ſanè
                <expan abbr="uident̃">uidentur</expan>
              eſſe lætitia
                <lb/>
              atque triſtitia: impetus & remiſsio: ſęuitia ac miſericordia & audacia. </s>
              <s id="id003057">
                <expan abbr="Sũt">Sunt</expan>
                <lb/>
              tria ferme
                <expan abbr="cõiũcta">coniuncta</expan>
              ſimul impetus & ſæuitia atque audacia,
                <expan abbr="quoniã">quoniam</expan>
                <expan abbr="cũ">cum</expan>
              mo
                <lb/>
              tu perturbato animi ſunt eiecta ratione. </s>
              <s id="id003058">Ob id
                <expan abbr="unũquod">ununquod</expan>
              que
                <expan abbr="horũ">horum</expan>
              ab ira­
                <lb/>
              cundia
                <expan abbr="deriuat̃">deriuatur</expan>
              . </s>
              <s id="id003059">Quapropter & ita
                <expan abbr="rationẽ">rationem</expan>
              expellit aut ſuppeditat. </s>
              <s id="id003060">at ra
                <lb/>
              tio
                <expan abbr="perturbat̃">perturbatur</expan>
              , aut ab immodicis ſonis, aut in
                <expan abbr="cõptis">comptis</expan>
              et magnas mutatio </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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