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="id003590">
                <pb pagenum="213" xlink:href="015/01/232.jpg"/>
              a e & e d et a g breuior a e et c (ut docet Euclides) cauſa eſt quia aqua
                <lb/>
              quæ deſcendit per e d & c g maiore impetu deſcendit quàm per ad
                <lb/>
              uel a g ut demonſtratum eſt, ergo non poterit quæ eſt in e d uel e g
                <lb/>
              loco dimoueri, nec cedere aquæ per obliquam lineam deſcendenti.</s>
            </p>
            <p type="margin">
              <s id="id003591">
                <margin.target id="marg655"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              m.</s>
            </p>
            <p type="main">
              <s id="id003592">Propoſitio centeſima octuageſima quinta.</s>
            </p>
            <p type="main">
              <s id="id003593">Cur homo ſedens quanto altius ſedet, & quanto magis crura ad
                <lb/>
              femora & femora ad pectus reclinata habet, facilius conſurgat, cum
                <lb/>
              tamen hæc oppoſito modo inuicem ſe habeant, declarare.</s>
            </p>
            <p type="main">
              <s id="id003594">Huius ſecundam partem Ariſtoteles in Mechanicis propoſuit,
                <lb/>
                <arrow.to.target n="marg656"/>
                <lb/>
              ſed neque ſub adiecta dubitatione, ſedens n
                <lb/>
                <figure id="id.015.01.232.1.jpg" xlink:href="015/01/232/1.jpg" number="222"/>
                <lb/>
              altius a b pectus, b c femur, c d crus eiuſ­
                <lb/>
              dem uel æqualis, pectus g h, femur h k, crus
                <lb/>
              k l longior b f quam h n facit, ut facilius ſur­
                <lb/>
              gat a b c d quàm g h k l, & tamen anguli
                <lb/>
              a b c & b c d ſunt maiores g h k & h k l, qui­
                <lb/>
              nimo cum uolumus ſurgere, contrahimus c d & k l propè & è re­
                <lb/>
              gione a b, igitur patetratio ſecundi, propior n eſt c d ipſi a b quanto
                <lb/>
              angulus a b c minor eſt, cui æqualis eſt b c d. </s>
              <s id="id003595">Cum ergo quanto pro
                <lb/>
              pior eſt c d ipſi a b eo facilius ſurgat, quoniam particeps magis di­
                <lb/>
              ſpoſitionis per quam ſurgit, propior autem quo anguli ſunt acuti­
                <lb/>
              ores, ideo facilius exurgit homo, quo contractiora ſunt crura, & an
                <lb/>
              guli femorum ad crura & pectus minora. </s>
              <s id="id003596">Huc usque Ariſtoteles &
                <lb/>
              bene.</s>
            </p>
            <p type="margin">
              <s id="id003597">
                <margin.target id="marg656"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id003598">Sed cur rurſus contractiora dum ſunt crura, homo facilius exur­
                <lb/>
              git? </s>
              <s id="id003599">Proponantur c f contracta ad perpendiculum, & inclinetur b a
                <lb/>
              in o ut fiant b o & f e aequidiſtantes, ita enim commodius ſurgimus:
                <lb/>
              nec aliter qui ſunt imbecilliores: quia ergo b eſt in directo f, ideo
                <lb/>
              muſculi femoris inferiores ob crus, & ſuperiores ob pectus ſunt
                <lb/>
              magis tenſi & anteriores cruris itidem, ideo maiore ui trahunt par
                <lb/>
              ticulam. </s>
              <s id="id003600">Vnde manente fixo f & capite etiam & pectore grauitate
                <lb/>
              ſua adiuuantibus, facilius homo exurgit quam ad latos angulos
                <lb/>
              cum contractio, ut dixi, muſculorum et inclinatio partium ſuperio­
                <lb/>
              rum fiat maior.</s>
            </p>
            <p type="main">
              <s id="id003601">Rurſus pro prima parte problematis, dico quòd quanto altior
                <lb/>
              eſt b f tanto facilius exurgit, nam ſupponatur angu­
                <lb/>
                <figure id="id.015.01.232.2.jpg" xlink:href="015/01/232/2.jpg" number="223"/>
                <lb/>
              lus reflexionis a h e æqualis a h c, & b c k æqualis h k f,
                <lb/>
              igitur cum b f ſit breuior b f, erit h k breuior b c & f k,
                <lb/>
              f c. quare b c femur, & f c crus erunt uiolentius exten­
                <lb/>
              ſa quàm in ſitu h k, k f ergo, muſculi facilius erigent
                <lb/>
              ſedentem altiore loco quàm humiliore, quod erat de­
                <lb/>
              monſtrandum.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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