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="id004028">
                <pb pagenum="236" xlink:href="015/01/255.jpg"/>
              nem currui, & a c d recti. </s>
              <s id="id004029">Ergo ſi in æquali
                <expan abbr="tẽporis">temporis</expan>
              ſpatio b, ſuperet
                <lb/>
              b a c & a, a c d, magis per rectam feretur a quàm b, ſed quod rectum
                <lb/>
              eſt maius occupat ſpatium: igitur uelocius fertur a in d compara­
                <lb/>
              tione habita ad a d quàm b in c, comparatione habita ad b c.</s>
            </p>
            <p type="margin">
              <s id="id004030">
                <margin.target id="marg786"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              _{m}.</s>
            </p>
            <p type="margin">
              <s id="id004031">
                <margin.target id="marg787"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              primi
                <emph.end type="italics"/>
                <lb/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004032">
                <margin.target id="marg788"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              25.
                <emph type="italics"/>
              pri­
                <lb/>
              mi
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004033">
                <margin.target id="marg789"/>
              Q
                <emph type="italics"/>
              uæſt.
                <emph.end type="italics"/>
              23.
                <lb/>
              M
                <emph type="italics"/>
              ech.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id004034">Pro intellectu reliquorum ab eo dictorum, & quorundam mira­
                <lb/>
              bilium, proponatur alius rhombus illi ęqualis, in tabula pictus deli
                <lb/>
              neatis lateribus & diametris, qui fit l m o n, & diametri l p o & m p
                <lb/>
              n, & abſcindatur hic ex ſuperficie, & ſuperponatur ita, ut puncta l m
                <lb/>
              o n ordinatim cadant, & aptentur
                <expan abbr="pũctis">punctis</expan>
              a b d c, & p aptetur ipſi k.
                <lb/>
              </s>
              <s id="id004035">Et tunc ſi rhombus l o totus moueretur, neceſſe eſt, ut moueatur ſe­
                <lb/>
              cundum latus aliquod, ut pote l m, & ęquidiſtans a b, igitur dicetur
                <lb/>
                <figure id="id.015.01.255.1.jpg" xlink:href="015/01/255/1.jpg" number="254"/>
                <lb/>
              moueri ſuper latus aliquod, ſcilicet a c: atque hic eſt mo
                <lb/>
              tus, quem Ariſtoteles uocat
                <expan abbr="motũ">motum</expan>
              a b ſuper latus a c.
                <lb/>
              </s>
              <s id="id004036">Si
                <expan abbr="aũt">aunt</expan>
              fingamus quieſcere latus aliquod l o, uel pars
                <lb/>
              lateris, non poſſet omnino moueri in ſuperficie a d
                <lb/>
              rhombi: et ita
                <expan abbr="nõ">non</expan>
              perinde eſſet ac ſi a d rhombus mo
                <lb/>
              ueretur, quod tamen ſupponit Ariſtoteles. </s>
              <s id="id004037">Neque
                <expan abbr="etiã">etiam</expan>
                <lb/>
              ſi quieſceret punctum aliud quam p haberet ratio­
                <lb/>
              nem motus regularis, quod ab illo ſupponitur: reli­
                <lb/>
              quum eſt igitur, ut rhombus l o moueatur uice rhombi a d ſeruan­
                <lb/>
              do centrum, id eſt punctum p in puncto k. </s>
              <s id="id004038">Dicamus ergo primum
                <lb/>
              de motu compoſito Ariſtotelis, & pòſt de noſtro.</s>
            </p>
            <p type="main">
              <s id="id004039">Moueatur l m ſuper a c, æquidiſtans ſemper a b, ut ſeruet ſitum
                <lb/>
              quem habebat ita, quod
                <expan abbr="extremũ">extremum</expan>
              lineæ l m ſit ſemper in linea a c, &
                <lb/>
              l punctum quod gerit uicem a, deſcendat tantum in linea l m, quan­
                <lb/>
              tum l extremum in linea a c: dicit Philoſophus, quod a ſeu l ſemper
                <lb/>
              deſcendet in linea a d, & erit in e a. </s>
              <s id="id004040">Supponatur quae latus l m fit f g, &
                <lb/>
              erit l n, f t, ducatur
                <expan abbr="aũt">aunt</expan>
              ex r puncto ſectionis diametri, & lateris l m li
                <lb/>
                <arrow.to.target n="marg790"/>
                <lb/>
              near q, æquidiſtans a f,
                <expan abbr="igit̃">igitur</expan>
              rhombus a q r f eſt ſimilis rhombo toti
                <lb/>
              a b d c, & proportio a f ad fr, ut a c ad c d, ſed a c eſt ęqualis c d,
                <expan abbr="igit̃">igitur</expan>
              a f
                <lb/>
              eſt æqualis f r, ſed l deſcendit in l m,
                <expan abbr="quantũ">quantum</expan>
              eſt a f ex ſuppoſito,
                <expan abbr="igit̃">igitur</expan>
                <lb/>
                <expan abbr="punctũ">punctum</expan>
              l ſemper erit in linea a d. </s>
              <s id="id004041">Poſt deficiunt quædam uerba: ob
                <lb/>
              quæ nemo intellexit ſententiam Philoſophi, &
                <expan abbr="tamẽ">tamen</expan>
              auſi ſunt impo
                <lb/>
              nere lectoribus, tan<08> intellexiſſent, tres ſimul errores admittendo,
                <lb/>
              ſcilicet Ariſtotelem ob propriam ignorantiam, ut ſtultum accuſan­
                <lb/>
              do, qui falſa dicat, & demonſtrare nitatur: produnt ſe ipſos cum
                <lb/>
              ſua impudentia. </s>
              <s id="id004042">Et lectoribus imponere conantur, debet ergo ſic
                <lb/>
              legi (“b in ipſa b c diametro latum, ubi latus b d moueatur in late­
                <lb/>
              re b a, & b æqualiter uerſus d in b d, æqualis enim eſt ipſa b e”)
                <lb/>
              Tunc enim conſtat ut hic dixi, m moueri per b c rectam ut l per a d:
                <lb/>
              Dicit ergo
                <expan abbr="cũ">cum</expan>
              b d
                <expan abbr="moueat̃">moueatur</expan>
              in b a, tranſit unico motu
                <expan abbr="totã">totam</expan>
              b a, & pun</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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