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="id003191">
                <pb pagenum="178 [=184]" xlink:href="015/01/203.jpg"/>
              ſticijs diſpoſitas diſtribuit ſex hinc atque hinc & unam mediam, quæ
                <lb/>
              tamen non uſus, ſed partitionis & reſponſus cauſa fit in media prę­
                <lb/>
              cinctione. </s>
              <s id="id003192">In ima præcinctione ponuntur uaſa quę habent harmo­
                <lb/>
              nię
                <expan abbr="rationẽ">rationem</expan>
              , hoc modo. </s>
              <s id="id003193">In
                <expan abbr="cornuũ">cornuum</expan>
              cellis collocantur quæ
                <expan abbr="ſonitũ">ſonitum</expan>
              ha­
                <lb/>
              bent netes hyperboleon. </s>
              <s id="id003194">Subſequuntur utrinque quæ ſunt ad neten
                <lb/>
              diezeugmenon interuallo conſonantia diateſſaron. </s>
              <s id="id003195">In tertijs cel­
                <lb/>
              lis ſunt quæ ad neten parameſen interuallo item diateſſaron, quæ
                <lb/>
              ſunt in quartis tono ſolummodo diſtant & ſunt netes ſynemenon.
                <lb/>
              </s>
              <s id="id003196">In quintis cellis ſunt ad meſen interuallo diateſſaron. </s>
              <s id="id003197">In ſextis cellis
                <lb/>
              ad hypaten meſon,
                <expan abbr="itẽ">item</expan>
              diateſſaron ſpatio. </s>
              <s id="id003198">In media cella ſunt ad hy
                <lb/>
              paten hypaton interuallo diateſſaron. </s>
              <s id="id003199">In media præcinctione ſunt
                <lb/>
              uaſa chromatos, collocantur autem in cornibus uaſa quæ ſunt ad
                <lb/>
              paraneten hyperbolem. </s>
              <s id="id003200">In ſecundis cellis ad paraneten diezeugme
                <lb/>
                <expan abbr="nõ">non</expan>
              ſpatio diateſſaron, in tertijs ad paraneten hynemenon ſpatio dia
                <lb/>
              pente. </s>
              <s id="id003201">In quartis ad lichanon meſon interuallo diateſſaron. </s>
              <s id="id003202">In quin
                <lb/>
              tis ad lichanon hypaton,
                <expan abbr="itẽ">item</expan>
              diateſſaron. </s>
              <s id="id003203">In ſextis ad parameſen q̊d
                <lb/>
              ſpatium ad paraneten hyperboleon eſt diapente ad paraneten hy­
                <lb/>
              nemenon diateſſaron. </s>
              <s id="id003204">In chromatis media cella nulla ſunt uaſa,
                <lb/>
              quod à lichano hypaton ad proslambanomenon, aut ad aliam o­
                <lb/>
              mnino decem & octo uocum nulla ſit conſonantia, ſunt enim hæ­
                <lb/>
              mitonia tantum duo & tonus. </s>
              <s id="id003205">In tertia præcinctione collocantur
                <lb/>
              uaſa diatoni. </s>
              <s id="id003206">Etin cornibus quidem ea quæ ſunt ad paraneten, hy­
                <lb/>
              perboleon. </s>
              <s id="id003207">In ſecundis cellis ad paraneten diezeugmenon. </s>
              <s id="id003208">ſpatio
                <lb/>
              diateſſaron. </s>
              <s id="id003209">In tertijs ad paraneten hynemenon diapente. </s>
              <s id="id003210">In quar­
                <lb/>
              tis ad lichanon meſon diateſſaron. </s>
              <s id="id003211">In quintis ad lichanon hypaton
                <lb/>
              diateſſaron. </s>
              <s id="id003212">In ſextis quæ ad proslambanomenon diateſſaron ſpa­
                <lb/>
              tio. </s>
              <s id="id003213">In media quæ ſunt ad meſen, quod ea ad proslambanomenon
                <lb/>
              habet conſonantiam diapaſon, & ad lychanon hypaton diapente.” </s>
            </p>
            <p type="main">
              <s id="id003214">
                <arrow.to.target n="marg591"/>
                <lb/>
              Hæc autem ex figura patent in opere de Subtilitate deſcripta.</s>
            </p>
            <p type="margin">
              <s id="id003215">
                <margin.target id="marg591"/>
              L
                <emph type="italics"/>
              ib.
                <emph.end type="italics"/>
              16.</s>
            </p>
            <p type="main">
              <s id="id003216">Porrò quod ad machinas attinet. </s>
              <s id="id003217">Sit catapulta, cuius rudens a b
                <lb/>
              quam oportet trahere, ſi emittere debeat lapi­
                <lb/>
                <figure id="id.015.01.203.1.jpg" xlink:href="015/01/203/1.jpg" number="198"/>
                <lb/>
              dem, aut ſcorpio ſagittam ad aliquod ſignum
                <lb/>
              puta c, cum ergo ſonus c a & c b homotenus fue
                <lb/>
              rit, non ſolum æqualiter pertractæ erunt c a &
                <lb/>
              c b, ſed etiam æquales: nam ſi æquales eſſent, &
                <lb/>
              inęqualiter tractæ, aut inęquales & inæqualiter
                <lb/>
              tractę
                <expan abbr="ſonũ">ſonum</expan>
              diuerſum
                <expan abbr="reddẽt">reddent</expan>
              euidenter. </s>
              <s id="id003218">At ſi in­
                <lb/>
              ęquales &
                <expan abbr="ęqualẽ">ęqualem</expan>
              ſonum reddant, erit
                <expan abbr="tñ">tnm</expan>
              ut fidis
                <lb/>
              notæ quæ ſtrepitum edit duplicem, & effigiem
                <lb/>
              oculis
                <expan abbr="multiplicẽ">multiplicem</expan>
              , unde ſagitta in partem aduer­
                <lb/>
              ſam dirigitur
                <expan abbr="rudẽtis">rudentis</expan>
              intentioris, atque hæc ex Vitruuio eodem dum
                <lb/>
              de his agit.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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