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="id003972">
                <pb pagenum="233" xlink:href="015/01/252.jpg"/>
              uernoſo corpore, qui
                <expan abbr="grauiſsimũ">grauiſsimum</expan>
              edit
                <expan abbr="ſonũ">ſonum</expan>
              intercluſus, ut
                <expan abbr="etiã">etiam</expan>
              in uo
                <lb/>
              cibus, aut quia à magno corpore ſtridulus efficitur, aut inter duo
                <lb/>
              corpora, qui grauitate medius eſt. </s>
              <s id="id003973">Impetu uerò
                <expan abbr="efficit̃">efficitur</expan>
              intenſus non
                <lb/>
              magnus, nam tonitrus procul audimus non iſtum quamuis celerri­
                <lb/>
              mum, acutum uerò ob anguſtiam loci. </s>
              <s id="id003974">Atque hę cauſę ſunt ſonorum.</s>
            </p>
            <p type="main">
              <s id="id003975">Propoſitio ducenteſima tertia.</s>
            </p>
            <p type="main">
              <s id="id003976">Cur ſcytalis onera portentur facilius, explorare.</s>
            </p>
            <figure id="id.015.01.252.1.jpg" xlink:href="015/01/252/1.jpg" number="250"/>
            <p type="main">
              <s id="id003977">Demiror
                <expan abbr="nõ">non</expan>
              exactè cauſam
                <expan abbr="manifeſtiſsimã">manifeſtiſsimam</expan>
              </s>
            </p>
            <p type="main">
              <s id="id003978">
                <arrow.to.target n="marg778"/>
                <lb/>
              Ariſtotelem non
                <expan abbr="aſſecutũ">aſſecutum</expan>
              fuiſſe, aut potius ad
                <lb/>
                <arrow.to.target n="marg779"/>
                <lb/>
              nos
                <expan abbr="corruptã">corruptam</expan>
              ſcripturam perueniſſe: nam qui
                <lb/>
              expo
                <expan abbr="nũt">nunt</expan>
              multo minus
                <expan abbr="intelligũt">intelligunt</expan>
              . </s>
              <s id="id003979">Sit ergo cur
                <lb/>
              rus humilis ſcytalis
                <expan abbr="iucumbẽs">iucumbens</expan>
              a b c. </s>
              <s id="id003980">Diximus
                <lb/>
                <expan abbr="autẽ">autem</expan>
              ſuprà quid eſſet ſcytala & currus rotis,
                <expan abbr="q̃">quae</expan>
                <lb/>
              ſuntlonge maiores ſcytalis e f g h,
                <expan abbr="demõſtran">demonſtran</expan>
                <lb/>
                <expan abbr="dũ">dum</expan>
              eſt
                <expan abbr="ſcytalã">ſcytalam</expan>
              , quamuis minoris ambitus ma­
                <lb/>
              gis mouere <08> rotam,
                <expan abbr="cũ">cum</expan>
              ergo de una demon­
                <lb/>
              ſtrauerimus, de
                <expan abbr="oĩbus">oimbus</expan>
              erit
                <expan abbr="intelligendũ">intelligendum</expan>
              . </s>
              <s id="id003981">Quia
                <lb/>
              ergo ſcytala k l m habet hypomochlion in k et
                <lb/>
              m, &
                <expan abbr="põdus">pondus</expan>
              premit in l,
                <expan abbr="igit̃">igitur</expan>
              rota uerſatilis mo
                <lb/>
                <arrow.to.target n="marg780"/>
                <lb/>
                <expan abbr="uebit̃">uebitur</expan>
              tanto facilius procedendo, quanta eſt
                <expan abbr="lõ">lom</expan>
              gitudo l m & l k, ſed &
                <lb/>
              rotulę illę
                <expan abbr="uerſabũt">uerſabunt</expan>
              hypomochlion, q̊d eſt l
                <expan abbr="cõparatione">comparatione</expan>
              k & m col­
                <lb/>
              lopum,
                <expan abbr="igit̃">igitur</expan>
              facilius multo
                <expan abbr="uerſabit̃">uerſabitur</expan>
              currus à ſcytalis <08> rotis. </s>
              <s id="id003982">Et hoc
                <lb/>
              eſt quod dixit Philoſophus. </s>
              <s id="id003983">In utriſque. </s>
              <s id="id003984">n. </s>
              <s id="id003985">his
                <expan abbr="reuoluit̃">reuoluitur</expan>
              circulus et mo
                <lb/>
              tus
                <expan abbr="impellit̃">impellitur</expan>
              , intelligit
                <expan abbr="mutuã">mutuam</expan>
                <expan abbr="commutationẽ">commutationem</expan>
              hypomochlij cum col
                <lb/>
              lopibus, nam ut
                <expan abbr="trahãtur">trahantur</expan>
              rotulę
                <expan abbr="q̃">quae</expan>
              ſunt hypomochlij loco, collopes
                <lb/>
                <expan abbr="terminant̃">terminantur</expan>
              in medio: ut
                <expan abbr="aũt">aunt</expan>
                <expan abbr="uertat̃">uertatur</expan>
              axis, qui & hypomochlion in me­
                <lb/>
              dio
                <expan abbr="collopũ">collopum</expan>
              initium ſint rotulæ. </s>
              <s id="id003986">Ex quo
                <expan abbr="ſequit̃">ſequitur</expan>
              , q̊d quanto
                <expan abbr="lõgiores">longiores</expan>
                <lb/>
              erunt l k l t & l m, tanto facilius
                <expan abbr="mouebunt̃">mouebuntur</expan>
              currus, at quanto humi­
                <lb/>
              liores, modò non obruantur in terra, quoniam tardius mouentur,
                <lb/>
              quæ minorem habent circuitum, quæ autem tardius mouentur, fa
                <lb/>
              cilius mouentur, ut ſuprà ſæpius demonſtratum eſt: Ob has ergo
                <lb/>
              duas cauſas pondera facilius feruntur curribus cum ſcytalis, quàm
                <lb/>
              cum rotis magnis modò terra non obruantur.</s>
            </p>
            <p type="margin">
              <s id="id003987">
                <margin.target id="marg778"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              _{m}.</s>
            </p>
            <p type="margin">
              <s id="id003988">
                <margin.target id="marg779"/>
              P
                <emph type="italics"/>
              rop.
                <emph.end type="italics"/>
              114.</s>
            </p>
            <p type="margin">
              <s id="id003989">
                <margin.target id="marg780"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              71</s>
            </p>
            <p type="main">
              <s id="id003990">Propoſitio ducenteſima quarta.</s>
            </p>
            <p type="main">
              <s id="id003991">Cur pluribus trochleis pondera facilius eleuentur oſten dere.</s>
            </p>
            <p type="main">
              <s id="id003992">Dictum eſt ſatis de hoc in lib. de Subtilitate, at nunc quod ad de­
                <lb/>
                <arrow.to.target n="marg781"/>
                <lb/>
              monſtrationem attinet
                <expan abbr="eorũ">eorum</expan>
              ſubijciam. </s>
              <s id="id003993">Quia. n. </s>
              <s id="id003994">ſingulę rotulę diffi
                <lb/>
              culter
                <expan abbr="mouent̃">mouentur</expan>
              , igitur neceſſe eſt ſingulas participes eſſe grauitatis,
                <lb/>
              igitur & totam
                <expan abbr="grauitatẽ">grauitatem</expan>
              eſſe diuiſam: quare ut in
                <expan abbr="pręcedẽti">pręcedenti</expan>
              facilius
                <lb/>
              moueri. </s>
              <s id="id003995">Habent & rotulę ipſę centrum ſeu axem hypomochlij, ſeu
                <lb/>
                <arrow.to.target n="marg782"/>
                <lb/>
              fulcimenti loco, ambitum
                <expan abbr="aũt">aunt</expan>
              iuxta ſemidiametrum, uelut collopes </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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