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="id002015">
                <pb pagenum="111" xlink:href="015/01/130.jpg"/>
              nem ſuam naturaliter ſe retrahentibus impulſui nullum inſtrumen
                <lb/>
              tum à natura delegatum inuenio, nam ad extenſionem muſculi ſa­
                <lb/>
              nè ex aduerſo ſunt fabricati: cum ergo duo ſint tantum motus mu­
                <lb/>
              ſculorum tenſio, dum
                <expan abbr="retrahũtur">retrahuntur</expan>
              ad principium ſuum, & remiſsio,
                <lb/>
              dum membrum quieſcit in naturali nullus erit locus impulſioni,
                <lb/>
              niſi ex conſequentia non per ſe, quamobrem multo infirmiorem il­
                <lb/>
              lum attractione in brachijs eſſe, neceſſe eſt.</s>
            </p>
            <p type="margin">
              <s id="id002016">
                <margin.target id="marg406"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id002017">Propoſitio centeſima ſexta decima.</s>
            </p>
            <p type="main">
              <s id="id002018">Cur machinæ ablongæ igneæ longius emittant ſphæram ex­
                <lb/>
              plorare.
                <lb/>
                <arrow.to.target n="marg407"/>
              </s>
            </p>
            <p type="margin">
              <s id="id002019">
                <margin.target id="marg407"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id002020">Quoniam ratio ſuperius adducta, neque in his, neque in hypophy­</s>
            </p>
            <p type="main">
              <s id="id002021">
                <arrow.to.target n="marg408"/>
                <lb/>
              ſis (uocant cerbatanas) non poteſt ſatisfacere, cum tamen idem ſe­
                <lb/>
              quatur in his, ut in illis uidetur, quaſi uis eſſe in ſphærula ſic emiſ­
                <lb/>
              ſa, & non in aëre, quemadmodum dicebamus, coniuncto eſſe. </s>
              <s id="id002022">Ex
                <lb/>
              quo neceſſe eſſet, ut quod longius ferretur, etiam ualidiores ictus
                <lb/>
                <figure id="id.015.01.130.1.jpg" xlink:href="015/01/130/1.jpg" number="122"/>
                <lb/>
              inferret, hoc autem
                <lb/>
              non ita ſe habet, ſed
                <lb/>
              ictus magnitudo
                <lb/>
              ex robore machi­
                <lb/>
              narum tam ignea­
                <lb/>
              rum, quam ſcorpio
                <lb/>
              num pendet, nam
                <lb/>
              ſit a ſcorpio ma­
                <lb/>
              gnus, ſed tenuis, ex
                <lb/>
              hòc palam eſt lon­
                <lb/>
              gius mittere ſagit­
                <lb/>
              tam, quòd à parua,
                <lb/>
              & breui, quantun­
                <lb/>
              uis craſſa non lon­
                <lb/>
              ge mittitur: at uerò
                <lb/>
              quod b craſſus & paruus maiore cum impetu mittat oſtenditur
                <lb/>
              nam ea pondera ſagittæ mouet, quæ non poteſt mouere a, igitur b
                <lb/>
              ualidiore robore mouet, quam a. </s>
              <s id="id002023">Præterea illud oſtendit iugum fu­
                <lb/>
              nis arcus craſsiora duriora, quæ maioribus uiribus
                <expan abbr="indigẽt">indigent</expan>
              , quam
                <lb/>
              a, qui à puero tendi poterit. </s>
              <s id="id002024">Non eſt ergo eadem ratio mittendi
                <lb/>
              longius, & ualidiore cum robore. </s>
              <s id="id002025">Eadem ergo cum ratio ſit in
                <lb/>
              machinis igneis, craſsiores enim, & latiores ac breuiores magis
                <lb/>
              concutiunt, quam longiores tenuiores minoris ſphæræ capaces:
                <lb/>
              non ſolum ob magnitudinem ſphæræ magis illæ concutiunt, ſed,
                <lb/>
              ut dixi, ob maiorem impetus uim: cauſa ergo eſt manifeſta in his,
                <lb/>
              ſed non cauſa, qua longius ferantur in longiore canali. </s>
              <s id="id002026">Sed </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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