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="id003006">
                <pb pagenum="172" xlink:href="015/01/191.jpg"/>
              meri iuuare poteſt, aut quàm afferre utilitatem? </s>
              <s id="id003007">nimis certè in
                <expan abbr="dignũ">dignum</expan>
              eſt
                <lb/>
              uti
                <expan abbr="argumẽto">argumento</expan>
              à ſimilitudine ſumpto: tum maximè adeò leui. </s>
              <s id="id003008">Sed quo­
                <lb/>
              niam conſtat omnia quæ in mundo ſunt ordine coniuncta eſſe, & ne­
                <lb/>
              ceſsitate uinciri, ideò cùm finis ipſe uerus ſit, non tam debemus Ptole­
                <lb/>
              mæum damnare, quae non probauerit, quàm laudare, quod
                <expan abbr="ueritatẽ">ueritatem</expan>
              ſine
                <lb/>
              ratione ſit aſſectus. </s>
              <s id="id003009">Sæpe enim accidit huiuſmodi uiris adeò pręſtan­
                <lb/>
              tibus ut ueritas detegatur, quam cùm illi, ut mos eſt
                <expan abbr="hominũ">hominum</expan>
              , rationi­
                <lb/>
              bus adornare nituntur, tranſgredientes metam muneris, in abſurda &
                <lb/>
              ineptias
                <expan abbr="incidũt">incidunt</expan>
              . </s>
              <s id="id003010">Ergo id modò declarare aggrediar, ſupponens quae ue­
                <lb/>
              rum eſt, ſcilicet hanc muſicam
                <expan abbr="concinnitatẽ">concinnitatem</expan>
              cum diuinis
                <expan abbr="connexã">connexam</expan>
              eſſe,
                <lb/>
              & ab illis originem ducere. </s>
              <s id="id003011">Verùm dubium eſt, an ſoni propter nume
                <lb/>
              ros iucundi ſint, an propter aliud? </s>
              <s id="id003012">& ſi propter aliud, cur ergo numeri
                <lb/>
              ad hoc ſunt neceſſarij? </s>
              <s id="id003013">& cur obſeruare eos oportet ne ab illorum ordi
                <lb/>
              ne diſiungi poſsint? </s>
              <s id="id003014">Hoc
                <expan abbr="aũt">aut</expan>
              perfacilè
                <expan abbr="intelligit̃">intelligitur</expan>
              , & à nobis aliâs decla­
                <lb/>
              ratum eſt, ſcilicet delectare nos, quæ percipiuntur quæque ratione facta
                <lb/>
              uidentur,
                <expan abbr="quoniã">quoniam</expan>
              in his naturæ uis relucet & imago uniuerſi, ergo dele
                <lb/>
              ctant nos, quoniam naturę ordine nos conſtamus. </s>
              <s id="id003015">Illud difficilius lon
                <lb/>
              gè q̊d
                <expan abbr="tamẽ">tamen</expan>
              diligenti obſeruatione
                <expan abbr="dignũ">dignum</expan>
              uidetur, ſcilicet, quonam pa
                <lb/>
              cto harmonia cum rebus cœleſtibus aut humanis
                <expan abbr="cõiuncta">coniuncta</expan>
              ſit. </s>
              <s id="id003016">Forſan
                <lb/>
              & illud ab re non eſſet intelligere, cur nullum animal pręter hominem
                <lb/>
              capax ſit harmoniæ? </s>
              <s id="id003017">an forſan
                <expan abbr="quoniã">quoniam</expan>
              ſolus homo ratione participet,
                <lb/>
              & ob id ſolus gaudet ratione? </s>
              <s id="id003018">ordinata
                <expan abbr="aũt">aut</expan>
              ratione
                <expan abbr="cõſtant">conſtant</expan>
              aut ſola aut
                <lb/>
              maximè, numerus autem quid aliud eſt quàm ordinis
                <expan abbr="ſeparatorũ">ſeparatorum</expan>
              ima­
                <lb/>
              go. </s>
              <s id="id003019">Porrò hæc accipienda ſunt ex his quæ ſenſibus deprehenduntur,
                <lb/>
              qualia ſunt quae animus mouetur & uarios affectus induit iuxta harmo­
                <lb/>
              niæ diuerſitatem lætitię, triſtitię, impetus, remiſsionis, timoris, ſpei, ira­
                <lb/>
              cundiæ, & commiſerationis. </s>
              <s id="id003020">Nos enim maximè octo affectus mouent
                <lb/>
              muſicæ modulationes. </s>
              <s id="id003021">Secundum quid autem mouent? </s>
              <s id="id003022">uel quia con­
                <lb/>
              ſonæ aut diſſonæ, uel quia concitatę aut tardæ, uel quod maius eſt quae
                <lb/>
              tendant in acutum ad alacritatem, uel in grauem deſinant & remiſſum
                <lb/>
              ſonum ad
                <expan abbr="cõmiſerationem">commiſerationem</expan>
              , & lachrymas, aut etiam ex modo tetrachor
                <lb/>
              dorum. </s>
              <s id="id003023">Illud ſanè non obſcurum eſt,
                <expan abbr="animã">animam</expan>
              cum ſono maximè eſſe con
                <lb/>
                <expan abbr="iunctã">iunctam</expan>
              , nam neque odoribus ut odores ſunt, neque ſaporibus, aut his quæ
                <lb/>
              tanguntur licet plurimum delectent, aut etiam lædant, anima mouetur
                <lb/>
              ad affectus, licet, ut dixi, magis homo delectetur, aut triſtitia afficiatur
                <lb/>
              quemadmodum ex ſonorum uaria natura, quod etiam in morſis à Ta
                <lb/>
              rantula (araneę genus eſt) deprehenditur. </s>
              <s id="id003024">Quinimò nec à luce nec à co
                <lb/>
              loribus aut pictura, niſi ut hæc ad memoriam
                <expan abbr="reuocãt">reuocant</expan>
              ea, propter quæ
                <lb/>
              ad hilaritatem aut triſtitiam uel iram, uel commiſerationem mouemur.
                <lb/>
              </s>
              <s id="id003025">Vnde
                <expan abbr="quoſdã">quoſdam</expan>
              reges ferunt iniurias acceptas iuſsiſſe depingi in aula ne
                <lb/>
              poſſent obliuiſci, at longè plures
                <expan abbr="curarũt">curarunt</expan>
              , ut potius
                <expan abbr="eorũ">eorum</expan>
              facta egregia </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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