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="id003177">
                <pb pagenum="179 [=183]" xlink:href="015/01/202.jpg"/>
              ſumptionem. </s>
              <s id="id003178">Propterea nil mirum eſt ſi Nexo de his ſubtiliter di­
                <lb/>
              ſputauit, mirum fuit quod in tanta animi perturbatione niſi ad
                <lb/>
              amentia, ut illi putant, referatur. </s>
              <s id="id003179">Sed quid iam amplius uagor, extat
                <lb/>
                <arrow.to.target n="marg588"/>
                <lb/>
              compendioſa ratio conſtructionis illius apud eundem Vitruuium
                <lb/>
              ubi Philander ex Atheneo ſonus hydradis ſuauis admodum atque
                <lb/>
                <arrow.to.target n="marg589"/>
                <lb/>
              iucundus auditu eſt: ita ut omnes concinnitate capti conuerterent,
                <lb/>
              fuitque Alexendrinę urbis inuentum authore Cteſibio tonſore, eſt
                <lb/>
              autem magnæ Clepſydræ inſtrumentum non abſimile, ſunt enim
                <lb/>
              fiſtulæ in aquam contortæ, quæ, cùm aqua à iuuene quopiam per­
                <lb/>
              cutitur, axinis per organum tranſeuntibus inflantur,
                <expan abbr="periucũdum­qúe">periucundum­
                  <lb/>
                qúe</expan>
              ſonum emittunt. </s>
              <s id="id003180">Eſt autem aræ rotundæ hoc inſtrumentum
                <lb/>
              perſimile inuentumque Ptolemæi ſecundi Euergitę temporibus, de
                <lb/>
              quo eundem Cteſibium ſcripſiſſe ferunt. </s>
              <s id="id003181">Fiebant autem ex ære &
                <lb/>
              baſis e ligno cum regulis dextra ac ſiniſtra ſcalari regula compactis,
                <lb/>
              aqua autem in ęrea arca continebatur. </s>
              <s id="id003182">Facilè autem eſt per hæc reli
                <lb/>
              qua inuenire: nam epiſtomijs includebatur aër atque reſerabatur, &
                <lb/>
              modus erat per uectes: non tamen octo
                <expan abbr="fiſtularũ">fiſtularum</expan>
              & exin de uocum
                <lb/>
              numerum inſtrumentum id ſuperabat organa noſtra ut locupleti­
                <lb/>
              ora ita aſperiora. </s>
              <s id="id003183">Liquet ergo ſi fabrilis omnis ars ad Architectum
                <lb/>
              pertinet, illum etiam hac ratione oportere eſſe peritum muſicæ.
                <lb/>
                <arrow.to.target n="marg590"/>
              </s>
            </p>
            <p type="margin">
              <s id="id003184">
                <margin.target id="marg586"/>
              C
                <emph type="italics"/>
              ap.
                <emph.end type="italics"/>
              15.
                <emph type="italics"/>
              ad
                <emph.end type="italics"/>
                <lb/>
              18.
                <emph type="italics"/>
              & in
                <lb/>
              cap.
                <emph.end type="italics"/>
              13.</s>
            </p>
            <p type="margin">
              <s id="id003185">
                <margin.target id="marg587"/>
              C
                <emph type="italics"/>
              ap.
                <emph.end type="italics"/>
              5.</s>
            </p>
            <p type="margin">
              <s id="id003186">
                <margin.target id="marg588"/>
              L
                <emph type="italics"/>
              ib,
                <emph.end type="italics"/>
              10.
                <emph type="italics"/>
              cd,
                <emph.end type="italics"/>
                <lb/>
              16.</s>
            </p>
            <p type="margin">
              <s id="id003187">
                <margin.target id="marg589"/>
              L
                <emph type="italics"/>
              ib.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              cap.
                <emph.end type="italics"/>
                <lb/>
              24.</s>
            </p>
            <p type="margin">
              <s id="id003188">
                <margin.target id="marg590"/>
              L
                <emph type="italics"/>
              ib.
                <emph.end type="italics"/>
              5.
                <emph type="italics"/>
              ca.
                <emph.end type="italics"/>
              5.</s>
            </p>
            <p type="main">
              <s id="id003189">“De Vaſis uerò æneis theatri quod melius eſt quàm ut eundem
                <lb/>
              authorem conſulamus, dicentem uaſa ęrea pro ratione magnitudi­
                <lb/>
              nis theatri ita fabricentur, ut cum
                <expan abbr="tangũtur">tanguntur</expan>
              , ſonitum facere poſsint
                <lb/>
              inter ſe diateſſaron diapente, ex ordine addit diapaſon, poſtea inter
                <lb/>
              ſedes theatri conſtitutis cellis ratione muſica ibi collocentur: ita uti
                <lb/>
              nullum parietem tangant circaque habeant locum
                <expan abbr="uacuũ">uacuum</expan>
              et à ſummo
                <lb/>
              capite ſpatium, ponantque inuerſa & habeant in parte quę ſpectat ad
                <lb/>
              ſcenam ſuppoſitos cuneos ne minus alios ſemipede, contraque eas
                <lb/>
              cellas relinquantur aperturę inferiorum graduum cubilibus lon­
                <lb/>
              gę pedes duos altæ ſemipedem. </s>
              <s id="id003190">Et ſi non erit ampla magnitudine
                <lb/>
              theatrum, media altitudinis tranſuerſaregio deſignetur, & in ea tre
                <lb/>
              decim cellæ duodecim æqualibus. interuallis diſtantes
                <expan abbr="confornicent̃">confornicentur</expan>
                <lb/>
              uti ea echea quæ ſupra ſcripta ſunt, ad neten hyperboleon ſonan­
                <lb/>
              tia in cellis quæ ſuntin cornibus extremis utraque parte prima col­
                <lb/>
              locentur, ſecunda ab extremis diateſſaron ad
                <expan abbr="netẽ">netem</expan>
              diezeugmenon,
                <lb/>
              tertia diateſſaron ad neten parameſon, quarta ad neten ſynemme­
                <lb/>
              non, quinta diateſſaron ad meſen, ſexta diateſſaron ad hypaten me­
                <lb/>
              ſen in medio unum diateſſaron ad hypaten hypaton. </s>
              <s id="id003191">Quæ sequun­
                <lb/>
              tur & ad intelligentiam prædictorum melius ex Gulielmo Philan­
                <lb/>
              dro emendata ſic tranſcribemus: Eas regiones in tredecim cellas
                <lb/>
              diuidit æqualibus interuallis: id eſt, cellas paribus uiciſsim </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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