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="id001385">
                <pb pagenum="74" xlink:href="015/01/093.jpg"/>
              tendere, cum tamen tendat à dextro latere ſcilicet ab Oriente no­
                <lb/>
              uem partibus, ſeu decima parte unius recti in centro terræ, quæ eſt
                <lb/>
              quadrageſima totius ambitus cœli. </s>
              <s id="id001386">Statuatur centrum mundi a, &
                <lb/>
              b a c axis, ſecundum quam mouetur motu diurno, ita l a dextra exit
                <lb/>
              oriens, k a ſiniſtra occidens, & ſtatuatur d centrum terræ, ſeu ſuprà
                <lb/>
              ſeu infrà, non tamen in linea b c, ſed uel ſuprà in dextra parte, uel in­
                <lb/>
              frà in ſiniſtra, ita ut ducta linea per illud punctum arcus b g ſit no­
                <lb/>
              uem partium. </s>
              <s id="id001387">Conſtituta ergo acu in e puncto, ubi linea h ad g ſecat
                <lb/>
              peripheriam terrę dico, quod acus dirigetur per h g, & non per b c,
                <lb/>
              nam acus mouetur ad centrum per eam, & in eo ſitu tota dirigitur,
                <lb/>
              quia omnes partes grauis conſentiunt in motu principij grauitatis
                <lb/>
              ad centrum, hoc enim demonſtratum: nixus ergo eſt ut moueatur
                <lb/>
              per c d, & in eo nixu qui eſt quies cuſtodit lineam axis, quæ eſt a b,
                <lb/>
              ut quieſcat, ergo non quieſcet, niſi in linea d g, quod erat demon­
                <lb/>
              ſtrandum. </s>
              <s id="id001388">Quæ autem ſequuntur ex his corrolaria omnia concor­
                <lb/>
              dant cum experimentis. </s>
              <s id="id001389">Ergo hic ſermo eſt demonſtratiuus, ut e­
                <lb/>
              nim bene dixit Auerroes: Sermo demonſtratiuus ſatisfacit omni­
                <lb/>
              bus problematibus quæ
                <expan abbr="cõtingunt">contingunt</expan>
              circa principale quæſitum. </s>
              <s id="id001390">Ex
                <lb/>
              hoc ergo patet, quod angulus diſtantia d ab a in latitudine eſt deci­
                <lb/>
              ma pars recti, et quod quanto magis diſtatin longitudine centrum
                <lb/>
              terræ à centro mundi, tanto etiam minus diſtatin latitudine. </s>
              <s id="id001391">Hæc
                <lb/>
              enim ſunt demonſtrata clarè in mathematicis. </s>
              <s id="id001392">Vnde fieri poſſet
                <lb/>
              quod hæc quantitas diſtantiæ eſſet res, per quam exigua etiam ſi
                <lb/>
              non eſſet maior quatuor digitis ſufficeret, modo etiam per ualde
                <lb/>
              paruum ſpatium diſtaret ab eodem in longitudine. </s>
              <s id="id001393">De cauſa au­
                <lb/>
              tem huius differentiæ aliâs dicendum erit, hic locus non eſt, ſed ſuf­
                <lb/>
              ficit ſcire quod ita ſit, quod ſi mobilis ſit punctus d, clarum eſt ali­
                <lb/>
              quando futurum ut minus diſtet g à b, aliquando ut ſit idem. </s>
              <s id="id001394">Et
                <lb/>
              qualiſcunque motus ſit, neceſſe eſt eam diſtantiam uariari.</s>
            </p>
            <p type="main">
              <s id="id001395">Propoſitio octuageſima quinta.</s>
            </p>
            <p type="main">
              <s id="id001396">Proportio ponderis unius grauis ad aliud ſub eadem menſura
                <lb/>
              eſt, ueluti eiuſdem ad differentiam ponderis uaſis repleti ex altero
                <lb/>
              graui, & ex ambobus detracto priore.</s>
            </p>
            <p type="main">
              <s id="id001397">
                <arrow.to.target n="marg293"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001398">
                <margin.target id="marg293"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001399">Sit aurum a, & liquor b, quæ repleant uas c, &
                <lb/>
              pondus amborum ſit librarum quadraginta, &
                <lb/>
                <figure id="id.015.01.093.1.jpg" xlink:href="015/01/093/1.jpg" number="87"/>
                <lb/>
              uas repletum liquore ſolo ſit librarum xxix, au­
                <lb/>
              rum autem ſit ponderis librarum xij, igitur reli­
                <lb/>
              quum erit ponderis xxviij, differentia ergo ua­
                <lb/>
              ſis pleni, & non pleni liquore eſt libra una, pon­
                <lb/>
              dus auri eſt librarum duodecim: dico quod au­
                <lb/>
              ri pondus eſt duodecuplum ponderi liquoris, & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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