Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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        <body>
          <chap>
            <p type="main">
              <s id="s.005591">
                <pb pagenum="31" xlink:href="009/01/315.jpg"/>
              per verò Commandinus, & Lucas Valerius demonſtrarunt.</s>
            </p>
            <p type="main">
              <s id="s.005592">Muſica tandem ſuas habet
                <expan abbr="demõſtrationes">demonſtrationes</expan>
              , v. g. Tonum conſtare ex duo­
                <lb/>
              bus ſemitonijs minoribus, & commate, quia ratio ſeſquioctaua duobus ſe­
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              mitonijs minoribus, & vno commate conſtat. </s>
              <s id="s.005593">Tonus autem in ſeſquiocta­
                <lb/>
              ua ratione conſiſtit. </s>
              <s id="s.005594">Item Diapentem conſtare ex tribus tonis, & ſemitonio
                <lb/>
              minori; quia ſi ex ſeſquialtero interuallo, quòd eſt diapentes demas ſeſqui­
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              tertium, reſtat ſeſquioctauum. </s>
              <s id="s.005595">
                <expan abbr="Seſquitertiũ">Seſquitertium</expan>
              verò continet duos tonos cum
                <lb/>
              ſemitonio minori; ecce cauſæ materiales. </s>
              <s id="s.005596">Cur bis diapente, aut bis dia­
                <lb/>
              teſſaron conſonantia
                <expan abbr="cõponi">componi</expan>
              non poteſt? </s>
              <s id="s.005597">cauſam huius habes ſupra ſectio­
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              ne 19. problem. </s>
              <s id="s.005598">nu. </s>
              <s id="s.005599">34. ſed quàm mirum eſt Pythagoram ſonos in propor­
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              tiones diuiſiſſe, non ſecus, ac ſi quantitates quædam permanentes eſſent?</s>
            </p>
            <p type="main">
              <s id="s.005600">Reliquum eſſet de Mathematicis etiam practicis
                <expan abbr="nõnulla">nonnulla</expan>
              dicere, in qui­
                <lb/>
              bus omnes
                <expan abbr="quoq;">quoque</expan>
              cauſæ manifeſtæ reperiuntur; ex eò enim, quòd practicæ
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              ſunt, neceſſariò finem inuoluunt. </s>
              <s id="s.005601">efficientem verò
                <expan abbr="materiã">materiam</expan>
              , & formam ſæ­
                <lb/>
              pè adhibent ad præmiſſas probandas, quas aſſumunt ad concludendum id,
                <lb/>
              quod principaliter intendunt. </s>
              <s id="s.005602">Porrò inter practicas omnium præſtantiſſi­
                <lb/>
              ma eſt Geometria practica; quis enim non admiratur, cùm audit Geome­
                <lb/>
              tram ſolo viſu inacceſſas etiam magnitudines quaſcunque, vt turres, vel
                <lb/>
              montes menſurare?</s>
            </p>
            <p type="main">
              <s id="s.005603">Ex quibus liquidò conſtant Mathematicas habere perfectiſſimas
                <expan abbr="domõ-ſtrationes">demon­
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                ſtrationes</expan>
              , quarum cauſę ita ab effectu diſtinguntur, vt nullis calumnijs ſint
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              obnoxiæ: quare etiam ſi aduerſarij conuincant, quòd neutiquam faciunt,
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              Geometriam, & Arithmeticam illis carere; reliquis tamen prædictis con­
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              cedere coguntur:
                <expan abbr="easq́">easque</expan>
              ; per omne
                <expan abbr="cauſarũ">cauſarum</expan>
              genus excurrere, quòd tan­
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              ta præterea euidentia præſtant, vt nihil ambiguum, nihil contro­
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              uerſum relinquatur: Mathematicę
                <expan abbr="namq;">namque</expan>
              teſte etiam Ariſt.
                <lb/>
              1. Elenchorum non ſunt contentioſæ. </s>
              <s id="s.005604">Vnde ſit, vt to­
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              ta hæc adeò digna,
                <expan abbr="atq;">atque</expan>
              admiranda cognitio ſit
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              mera veritas, quæ omnium ſcientiarum finis
                <lb/>
              atque animæ noſtræ cibus eſt.</s>
            </p>
            <p type="head">
              <s id="s.005605">LAVS DEO.</s>
            </p>
          </chap>
        </body>
      </text>
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