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="id000824">
                <pb pagenum="44" xlink:href="015/01/063.jpg"/>
              uetur ſurſum à dextro in ſiniſtrum in inferiore parte, mouebitur à
                <lb/>
              ſiniſtro in dextrum, & uterque circulorum g & k in ſuperiore parte,
                <lb/>
              & in inferiore mouebitur contrario motu, ſcilicet in ſuperiore à ſini
                <lb/>
              ſtro in dextrum, & inferiore à dextro in ſiniſtrum, illi uerò duo or­
                <lb/>
              bes ſimili motu mouebuntur tam in parte ſuperiore, quàm inferio­
                <lb/>
              re, & proportio motuum eorum inter ſe erit uelut dimetientium
                <lb/>
              eorundem.
                <lb/>
                <arrow.to.target n="marg143"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000825">
                <margin.target id="marg142"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="margin">
              <s id="id000826">
                <margin.target id="marg143"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id000827">Rurſus cum a b circumuertatur cum manubrio c d f e, tanto uelo
                <lb/>
              cius circumuertetur, & in ea proportione, qua d f continetur in c n,
                <lb/>
              & in eodem tempore, in quo manubrium circumuertitur in eodem
                <lb/>
              axis circumuertitur, & orbis, ut dictum eſt, ergo in eodem tempo­
                <lb/>
              re, in quo axis circumuertitur in eodem orbis: ergo tanto tardius
                <lb/>
              uidebitur moueri axis ipſo orbe, quanta eſt proportio minoris in
                <lb/>
              æqualitatis ipſius axis, ſeu ambitus, ſeu ſemidimetientis ad ambi­
                <lb/>
              tum, ſeu ſemidimetientem orbis.</s>
            </p>
            <p type="main">
              <s id="id000828">Propoſitio quinquageſimaquarta.</s>
            </p>
            <p type="main">
              <s id="id000829">Proportio circuli ad ſuum diametrum per
                <expan abbr="ſimilitudinẽ">ſimilitudinem</expan>
              eſt quar­
                <lb/>
              ta pars peripheriæ. </s>
              <s id="id000830">Rurſusque eiuſdem circuli ad peripheriam diame
                <lb/>
              tri quarta pars.</s>
            </p>
            <p type="main">
              <s id="id000831">
                <arrow.to.target n="marg144"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000832">
                <margin.target id="marg144"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000833">Quoniam enim ſuperficies circuli, ut ab
                <lb/>
                <figure id="id.015.01.063.1.jpg" xlink:href="015/01/063/1.jpg" number="59"/>
                <lb/>
              Archimede demonſtratum eſt, fit ex dimi­</s>
            </p>
            <p type="main">
              <s id="id000834">
                <arrow.to.target n="marg145"/>
                <lb/>
              dio diametri in
                <expan abbr="dimidiũ">dimidium</expan>
              peripheriæ erit, ut
                <lb/>
              eadem fiat ex tota peripheria in
                <expan abbr="quartã">quartam</expan>
              par
                <lb/>
              tem diametri, & ex tota diametro in quar­
                <lb/>
              tam
                <expan abbr="partẽ">partem</expan>
              peripherię. </s>
              <s id="id000835">ergo proportio areę
                <lb/>
              circuli ad diametrum per ſimilitudinem
                <lb/>
                <arrow.to.target n="marg146"/>
                <lb/>
              eſt quarta pars peripherię, & proportio areę
                <lb/>
              ad
                <expan abbr="peripheriã">peripheriam</expan>
              eſt quarta pars dimetientis, quod erat probandum.</s>
            </p>
            <p type="margin">
              <s id="id000836">
                <margin.target id="marg145"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              16.
                <emph type="italics"/>
              ſex
                <lb/>
              ti
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lement.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000837">
                <margin.target id="marg146"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              diff.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id000838">Propoſitio quinquageſima quinta.</s>
            </p>
            <p type="main">
              <s id="id000839">Proportionem medicamentorum per ordines ſuppoſita æquali
                <lb/>
              proportione in ordinibus per quantitates, & proportiones de­
                <lb/>
              monſtrare.
                <lb/>
                <arrow.to.target n="marg147"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000840">
                <margin.target id="marg147"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000841">Galenus libro quinto de Simplicibus medicamentis, quem ſe­</s>
            </p>
            <p type="main">
              <s id="id000842">
                <arrow.to.target n="marg148"/>
                <lb/>
              quuti ſunt alij medici, ponit quatuor ordines
                <expan abbr="medicamentorũ">medicamentorum</expan>
              iux­
                <lb/>
              ta qualitates calidi, frigidi, ſicci, & humidi, & primus eſt cum
                <expan abbr="medi­camentũ">medi­
                  <lb/>
                camentum</expan>
              non ſentitur quale ſit licet operetur, uelut camęmelon, ab­
                <lb/>
              ſynthium, & oriza: ſecundus eſt, cum ſentitur, ſed non lædit, ut nux
                <lb/>
              myriſtica, ſaluia, ozimum: tertius eſt cum ſentitur, & lædit, ſed
                <lb/>
              non deſtruit, neque corrumpit corpus, uelut aſſarum apium ſta­
                <lb/>
              phiſagria, cappares, myrrha, ruta: quartus eſt, cum deſtruit ue­
                <lb/>
              lut pyretrum, piper, euphorbium cæpe aggreſte, & ſinapis, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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