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>
            <pb pagenum="85" xlink:href="015/01/104.jpg"/>
            <p type="main">
              <s id="id001548">
                <arrow.to.target n="marg312"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001549">
                <margin.target id="marg312"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id001550">Ex hoc etiam ſequitur,
                <lb/>
                <figure id="id.015.01.104.1.jpg" xlink:href="015/01/104/1.jpg" number="99"/>
                <lb/>
              quod cùm omne graue
                <lb/>
              ſpontè ſemper appropin­
                <lb/>
              quet centro mundi, & a ſi
                <lb/>
              moueretur per planum e,
                <lb/>
              magis remoueretur à cen­
                <lb/>
              tro mundi, ut per e c per ea
                <lb/>
              quæ diximus, & quoniam
                <lb/>
              linea ex centro mundi ad
                <lb/>
              c longior eſt, quàm ad e,
                <lb/>
              multò poteſt enim eſſe, ut
                <lb/>
              in proportione diametri
                <lb/>
              quadrati ad latus eius, &
                <lb/>
              etiam maior. </s>
              <s id="id001551">ergo poterit
                <lb/>
              eſſe adeò parum decliuis
                <lb/>
              linea c d, ut c punctus ma­
                <lb/>
              gis diſter à centro mundi,
                <lb/>
              quàm d, & tamen feretur
                <lb/>
              ex d in c motu naturali, ut demonſtratum eſt, ergo per purum mo­
                <lb/>
              tum naturalem poterit a remoueri à centro mundi. </s>
              <s id="id001552">Hoc uolui pro­
                <lb/>
              ponere, ut intelligeres in plano uero c e non moueri a ſponte, quia
                <lb/>
              c neceſſariò altior eſt d: ſi ergo mouebitur, non erit c e recta, ſed
                <lb/>
              pars proportionis circuli ſuperficiei terræ, quæ ſenſu à recta diſtin­
                <lb/>
              gui non poterit. </s>
              <s id="id001553">Hoc ergo eſt primum, ex quo ſequitur.</s>
            </p>
            <p type="main">
              <s id="id001554">
                <arrow.to.target n="marg313"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001555">
                <margin.target id="marg313"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id001556">Quod aliquid poterit uideri decliue, in quo non deſcendet imò
                <lb/>
              erit, ut potè ſi aliqua linea obliqua eſſet inter c e, & f e, illa eſſet decli­
                <lb/>
              uis ſpecie, & re, & tamen graue in illa non deſcenderet, quia à cen­
                <lb/>
              tro mundi magis remoueretur: hoc tamen eſt perdifficile factu, &
                <lb/>
              maximè in parua diſtantia, uel etiam unius miliaris. </s>
              <s id="id001557">Atque hæc
                <lb/>
              in leuigatis.</s>
            </p>
            <p type="main">
              <s id="id001558">Propoſitio nonageſima ſecunda.</s>
            </p>
            <p type="main">
              <s id="id001559">Proportionem ponderis æqualis iuxta longitudinis compara­
                <lb/>
              tionem demonſtrare.</s>
            </p>
            <figure id="id.015.01.104.2.jpg" xlink:href="015/01/104/2.jpg" number="100"/>
            <p type="main">
              <s id="id001560">Hoc eſt, quod Archimedes reliquit </s>
            </p>
            <p type="main">
              <s id="id001561">
                <arrow.to.target n="marg314"/>
                <lb/>
              intactum, cum eſſet maximè neceſſa­
                <lb/>
              rium, & oſtendit magis abſtruſa, ſed
                <lb/>
              pace illius dixerim minus utilia. </s>
              <s id="id001562">Cum
                <lb/>
              ergo ſumpſiſſem uirgam b f ponderis
                <lb/>
              unciarum xxiij, fuiſſet b a uigeſima quarta pars, b f fuit pondus æ­
                <lb/>
              quilibrij in b appenſum librarum uiginti ſex cum dimidia: fuit igi­
                <lb/>
              tur proportio ponderis e f ad pondus f b, ut tredecim ferme ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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