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="id001864">
                <pb pagenum="102" xlink:href="015/01/121.jpg"/>
              fertur, quàm ex f in c: uelocius autem ex c uſque ad medium: nam
                <lb/>
              plurimum deſcendit. </s>
              <s id="id001865">Ex h ad b autem celerrimè, quoniam deſcen­
                <lb/>
              dit, & appropinquat lineæ a b, ut uter que motus ſit naturalis. </s>
              <s id="id001866">Non
                <lb/>
              ergo mouetur pręter naturam niſi quatenus longius recedit à linea
                <lb/>
              a b, unde in inferiore parte mouetur ad eandem, ideò de parte c b
                <lb/>
              tota perſpicua eſt ratio, cur facillimè deſcendat, ſimiliter & tota,
                <lb/>
              hoc enim eſt demonſtratum. </s>
              <s id="id001867">Similiter & quare difficillimè feratur
                <lb/>
              ex b uſ que ad p, & ultra p uſ que ad directum r f: at de motu ex a in f,
                <lb/>
              quod debeat ferri, quia plus remouetur, quam deſcendat, nulla eſt
                <lb/>
              ratio: ut nec cur ex oppoſito f ad a difficilem ſe præſtet: & hoc eſt,
                <lb/>
              quia tertiam rationem etiam ipſe Ariſtoteles, & qui eum ſequuti
                <lb/>
              ſunt, prætermiſit. </s>
              <s id="id001868">Ea autem eſt, quod dum fertur ad g, uel f etiam li­
                <lb/>
              cet non deſcendat magis, quàm remoueatur, ex a
                <lb/>
                <figure id="id.015.01.121.1.jpg" xlink:href="015/01/121/1.jpg" number="116"/>
                <lb/>
              ad centrum terræ tamen magis appropinquat.
                <lb/>
              </s>
              <s id="id001869">Quia enim e a eſt ęqualis e c, quoniam prodeunt
                <lb/>
              à centro circuli eiuſdem, & b e, & e c ſunt maio­
                <lb/>
              res b c, ideò b a erit maior b c, eſt autem b cen­
                <lb/>
                <arrow.to.target n="marg390"/>
                <lb/>
              trum mundi, ergo a motum ad c, appropinqua­
                <lb/>
              uit ipſi b</s>
            </p>
            <p type="margin">
              <s id="id001870">
                <margin.target id="marg388"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              98.</s>
            </p>
            <p type="margin">
              <s id="id001871">
                <margin.target id="marg389"/>
              I
                <emph type="italics"/>
              n præceden
                <lb/>
              ti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001872">
                <margin.target id="marg390"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              17.
                <emph type="italics"/>
              pri
                <lb/>
              mi
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id001873">Dico etiam quod libra ex chalybe tenuiſsimo,
                <lb/>
              & quanto
                <expan abbr="leuiorũ">leuiorum</expan>
              concharum, & longioris iugi
                <lb/>
              10 exactior, quoniam lances illæ minori exceſſu
                <lb/>
              mouentur, quia plus diſtant ab hypomochlio.
                <lb/>
              </s>
              <s id="id001874">Sit ergo libra, cuius iugum a b trutina c: lances d & e, alia libra,
                <lb/>
              cuius lances h, & k, & l m longiores, iugum f g. </s>
              <s id="id001875">Conſtat, quod
                <lb/>
              qualis proportio f g ad a b, talis ambitus, ad ambitum: motus er­
                <lb/>
              go ſi ſit æqualis utrarumque, igitur a tanto minore proportione
                <lb/>
                <figure id="id.015.01.121.2.jpg" xlink:href="015/01/121/2.jpg" number="117"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>