Cardano, Girolamo, De subtilitate, 1663

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    <archimedes>
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          <chap>
            <p type="main">
              <s id="s.011920">
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              nos ſexeuplo lentius trahet, quàm ſi eodem
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              robore imò etiam paulò maiore ſupra vnica
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              traheret fune, longè autem lentius ſexcuplo
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              vel quadruplo, quantò funis longitudo ma­
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              gis addit ad pondus: quo fit vt puer ille vix
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              vnius horæ ſpatio idem pondus his trochleis
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              trahet, quòd ſexcuplo robuſtior vir, vnica
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              fune ſuperius ſtans, illicò leuare poteſt. </s>
              <s id="s.011921">Ita­
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              que artis & ingenij eſt, vt quiſque pondus
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              quodlibet leuare poſſit. </s>
              <s id="s.011922">At verò vt funis à
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              pluribus trahi poſſit, ſub orbiculo trahitur
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              terræ æquidiſtans. </s>
              <s id="s.011923">Quòd ſi faciliùs trahere
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              libet, ergata vtimur, quòd inſtrumentum in
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              vſu eſt omnibus: hoc enim axibus circum­
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              actis circumuoluta funis trahit pondera
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              quæque. </s>
              <s id="s.011924">At in hoc etiam quantumlibet
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              laborem leuare licet axium longitudine:
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              nam eò facilius trahunt, quò fuerint lon­
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              giores.
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                <figure id="id.016.01.268.1.jpg" xlink:href="016/01/268/1.jpg" number="122"/>
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                <figure id="id.016.01.268.2.jpg" xlink:href="016/01/268/2.jpg" number="123"/>
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            </p>
            <p type="margin">
              <s id="s.011925">
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              Ratio
                <expan abbr="trahẽ-di">trahen­
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                di</expan>
              impellen­
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              dive maxima
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              quæque par­
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              uis viribus.</s>
            </p>
            <p type="main">
              <s id="s.011926">Simili ratione conſtat cochleæ, quas vi­
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              tes vocamus. </s>
              <s id="s.011927">Cochlea AB, intus verò maſcu­
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              lus, ſeu vitis C D, quæ circumagitur vt ſo­
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              let: manubrium quod maſculo iungitur EF,
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              vertitur axe GH facilè ob dictam rationem.
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              </s>
              <s id="s.011928">I imo KL, maſculo iunctum ad perpendicu­
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              lum, huic adiicitur pondus librarum vtpote
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              centum mille, quod ſit M. </s>
              <s id="s.011929">Verſa igitur GH,
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              trahetur KL ſurſum, pondúſque M aſcendet:
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              contrario modo verſa GH, & ratione eadem
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              KL impelletur, inflectétque ferrum oppoſi­
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              tum craſſitudinis incredibilis. </s>
              <s id="s.011930">Demonſtre­
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              mus igitur quòd pondus M moueri poſſit, &
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              qua ratione. </s>
              <s id="s.011931">Nam cùm ſit centum N, pon­
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              deris in L, ſingulæ ſpiræ ſuſtineant, ſi de­
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              cem fuerint, erunt in ſingulis decem millia.
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              </s>
              <s id="s.011932">At verò in vnaquaque ſpira tantum reti­
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              nent ponderis hæ decem mille libræ, quanta
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              eſt proportio rotunditatis ad funem cui M
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              ſuſpenditur. </s>
              <s id="s.011933">Quanto igitur in C D plures
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              fuerint ſpiræ, ac humiliores, id eſt, circulo
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              proximiores, tum maiores, eò M pondus le­
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              uius reddetur, motúſque facilior: ac quantò
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              facilior, eò tardior. </s>
              <s id="s.011934">Igitur ſpatium duorum
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              cubitorum cochlea fieri poteſt tam latis, ac
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              humilibus ſpiris, quòd M pondus à decenni
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              puero facilè ſurſum trahetur. </s>
              <s id="s.011935">Verùm (vt di­
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              xi) quod facilius, eò lentius mouebitur. </s>
              <s id="s.011936">Cùm
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              igitur tractum fuerit iuxta L K, longitudi­
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              nem oportebit M ſuſpendi his quæ machi­
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              nam ſuſtinent in N & O. </s>
              <s id="s.011937">Et tunc iterum
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              emiſſa contrario motu K L adiicimus pon­
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              dus, rurſúmque trahemus, eleuabimúſque
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              ſpatio KL, donec nectendo ſæpius è mari,
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              vel è flumine nauim, ponduſve aliud immen­
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              ſum extrahamus. </s>
              <s id="s.011938">Hoc igitur illud exiſtiman­
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              dum eſt, fuiſſe inſtrumentum Archimedis
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              leuitate Græcorum, & vetuſtate amplifica­
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              tum, quo antiquos in ſui traxit admiratio­
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              nem. </s>
              <s id="s.011939">Nam ſic puer facilè trahet onuſtam
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              nauim, quàm nec iuga viginti boum loco
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              mouere poterunt. </s>
              <s id="s.011940">Conſtat Chalybe duriſſi­
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              mo, ne flectatur: leuiſſimo, nec impediatur:
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              ſolidum & oleo illinitur. </s>
              <s id="s.011941">Nam oleum admo­
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              tum iuuat ob lenitatem: cúmque putredi­
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              ni obnoxium minimè ſit, rubiginem non
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              admittit. </s>
              <s id="s.011942">Inter ea enim quæ facilem motum
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              præſtant, oleum obtinet principatum, quan­
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              quam & magis quod ex materia fit muco­
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              ſum humorem continente, qualis eſt fœnu­
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              græcum. </s>
              <s id="s.011943">Narrat Ioſephus, pro Iota patenis
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              depugnantem decocto fœnugræci conſper­
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              ſum pontem adeò labilem reddidiſſe, vt Ro­
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              mani milites è cœpta oppugnatione deſti­
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              terint, quum loco conſiſtere non poſſent: &
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              quanto inſtrumentum minus erit, tametſi
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              difficilius trahet eò tamen maiorem pariet
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              admirationem. </s>
              <s id="s.011944">Hac ratione excogitata eſt
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              machina ad immenſa pondera eleuanda,
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              quæ cochleæ inſtrumento & ergata con­
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              ſtat. </s>
              <s id="s.011945">Sit AB catena, pondus eleuandum H,
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              trabs cui affixa catena eſt tranſuerſa AD.
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              </s>
              <s id="s.011946">In tigno ad perpendiculum ſtante C, locus
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              ſit in quo fibula infixa tigno cui trabs AD
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              excauata inſiſtat, vt aſcendere, deſcenderé­
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              que poſſit A, dum D deorſum fertur. </s>
              <s id="s.011947">Sit D
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              E tignum aliud ad perpendiculum, quod co­
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              chleæ inſtar excauatum excipiatur à trabe
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              in D: & ſit ergata FG. </s>
              <s id="s.011948">Pars trabis quæ co­
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              chleam maſculam refert E, ſicut in trabe
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              cochleæ pars fœmina D. </s>
              <s id="s.011949">Tignum DE ver­
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              ſatile ergata, DC pars trabis, tripla AC parti
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              exteriori. </s>
              <s id="s.011950">Sit gratia exempli, & FG octupla
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              tigni DE craſſitudini. </s>
              <s id="s.011951">Sit verò ratio latitu­
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              dinis cochleæ ad profunditatem quintupla
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              ducemus igitur ex demonſtratis hîc primó­
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              que libro, octo in quinque, fiúntque qua­
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              draginta, quæ ducta per tria producunt 120.
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              Si igitur H ſit pondus 1200. librarum, cùm
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              diuiſum per 120. prodeant 10. à vi quæ 10.
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              libras eleuare poſſit, eodem nixu quo libræ
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              illæ 10. eleuabitur. </s>
              <s id="s.011952">Quod ſi D modiolus ina­
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                <figure id="id.016.01.268.3.jpg" xlink:href="016/01/268/3.jpg" number="124"/>
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              nis quieſcat in partibus cochleæ, vt par eſt,
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              immota ergata, poterit ſenſim fune, vel ca-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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