Cardano, Girolamo, De subtilitate, 1663

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.010697">
                <pb pagenum="588" xlink:href="016/01/235.jpg"/>
              cum ſua ſubtilitate, niſi vt reſpondentem ſo­
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              phiſtica quæſtione inuoluat & fatiget. </s>
              <s id="s.010698">Sed
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              in omni alimento excrementum: nec vbi ex­
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              crementum ſine alimento. </s>
            </p>
            <p type="main">
              <s id="s.010699">Tertium genus inutilis ſubtilitatis in Ray­
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              mundi Lullij libris ſpectare licet. </s>
              <s id="s.010700">Res pror­
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              ſus riſu digna, omnem velle tradere doctri­
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              nam, nullam noſſe. </s>
            </p>
            <p type="main">
              <s id="s.010701">Sed tamen vt diligentiùs conſiderauimus,
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              non prorſus contemnenda inuentio viſa eſt:
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              ſiquidem totam vnam artem, vtpote Medi­
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              cinam, duodecim ad ſummum chartis tra­
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              dere licet. </s>
              <s id="s.010702">Sic nos non ſolùm Medicinam,
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              totam chirurgiam, ac pharmaceutriam
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              cum ſignis naturalibúſque principiis, tum
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              exemplis, viginti ſex chartis complexi hac
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              ratione ſumus, additis authoritatibus de­
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              monſtrationibus, vbi opus illis eſſe exiſti­
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              maui. </s>
              <s id="s.010703">Edetur autem hic liber. </s>
              <s id="s.010704">Sed modum
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              nunc docere præſtat ex Arithmeticis arcanis
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              deſumptum. </s>
              <s id="s.010705">Quælibet ars quæ rebus non
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              placitis conſtat, viginti ſimplicibus regulis
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              contineri poteſt. </s>
              <s id="s.010706">Nam viginti propoſitis ter­
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              minis conſtituuntur
                <expan abbr="cõiugationes">coniugationes</expan>
              1048375.
                <lb/>
              Cuius numeri ratio abſolutiſſima hæc eſt:
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              ſingulares viginti. </s>
              <s id="s.010707">Pro 19. totidem. </s>
              <s id="s.010708">Pro
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              18. & 2. duc 40. in 19. fit 760. diuide per
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              2. exit 380. Pro 17. & 3. duc 18. per 380.
                <lb/>
              & diuide per 3. exit 2280. Pro 16. & 4.
                <lb/>
              duc 2280. per 17. & diuide per 4. exit
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              9690. Pro 15. & 5. duc 9690. per 16. &
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              diuide per 5. atque ita ſemper ducendo ag­
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              gregatum, procedens per numerum maio­
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              rem præcedentem, & diuidendo produ­
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              ctum per minorem numerum, ordine de­
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              uenies ad 10. qui eſt in medio: qui cùm
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              ſit abſque compari, duces præcedens ag­
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              gregatum, quòd eſt 325920. per 11. gene­
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              rali ratione fit 3695120. diuide per 10. fit
                <lb/>
              369512, Sed quia hic numerus componi­
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              tur ex ſimilibus, accipiemus ſolùm medie­
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              tatem, ſcilicet 184756. Omnibus igitur
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              ſimul iunctis, additáque vnitate pro regu­
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              la, quæ ex omnibus ſimplicibus conſtat,
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              fient ( vt dixi ) regulæ omnes, 1048575.
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              Cùm igitur libri omnes artis, Græci, Ara­
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              bes, atque Latini, ne vigeſimam quidem
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              partem contineant, conſtat ſimpliciſſimas
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              regulas, aut non tot eſſe, aut non expleri
                <lb/>
              omnes coniugationes. </s>
              <s id="s.010709">Igitur cùm duabus
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              chartis, viginti regulæ tum modi coniuga­
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              tionum contineri poſſint, tota etiam ars
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              continebitur. </s>
              <s id="s.010710">Ita libri tres de Difficultate
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              ſpirandi, duabus regulis continentur: cùm
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              tertiam Galenus omiſerit. </s>
              <s id="s.010711">Excipiuntur quæ­
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              cunque placitis hominum conſtant: Iu­
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              riſprudentia, Grammatica, Geographia,
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              Theologia, Rhetorica, Poëſis, Hiſtoria,
                <lb/>
              nam hæ pluribus ſimplicibus regulis con­
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              ſtant. </s>
            </p>
            <p type="main">
              <s id="s.010712">Eiuſdem argumenti, id eſt, fruſtrà per­
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              ditæ operæ eſt libros componere: in qui­
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              bus, ſi quod oſtendere non poteſt, totius
                <lb/>
              argumenti fundamenti neges, omnia pror­
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              ſus corruant. </s>
              <s id="s.010713">Velut qui rerum natura­
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              lium originem, principiáque ex oraculis
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              Sibyllæ, & Poëtarum ambiguis & fabu­
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              loſis authoritatibus venatur, oſtenderéque
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              nititur. </s>
              <s id="s.010714">Videntur enim mortalium chariſ­
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              ſimam docere ſuppellectilem, tempus
                <emph type="italics"/>
              (
                <emph.end type="italics"/>
              in­
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              quam) effundere. </s>
              <s id="s.010715">Itaque meritò genus hoc
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              ſcribendi à Galeno in libris de Decretis Hip­
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              pocratis, & Platonis damnatur, improba­
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              tur, reiicitur. </s>
              <s id="s.010716">Quid enim abſurdius, ne
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              ſtultius dicam: quàm in ſeriis rebus, &
                <lb/>
              quæ firmiſſima indigerent demonſtratione,
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              teſtimonium ab oraculis, & Poëtis petere,
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              quorum mens nihil minus cogitabat, quàm
                <lb/>
              quod ſcriberent? </s>
              <s id="s.010717">Id ſolùm quærentibus illis,
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              vt numerus impleretur, carménque ſona­
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              ret. </s>
              <s id="s.010718">In eodem genere collocantur Theolo­
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              li naturalibus rationibus contra Philoſo­
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              phos diſputantes, & hæreſium omnium in­
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              uentores, & qui de ſigillis ſub certis cœ­
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              lorum conſtitutionibus faciendis loquuntur,
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              & qui de magia naturali à numerorum ra­
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              tione ſumpta, vt Agrippa infelix: nam nu­
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              meri
                <emph type="italics"/>
              (
                <emph.end type="italics"/>
              vt rectè Ariſtoteles dixit ) actionum,
                <lb/>
              & mutationum non poſſunt eſſe principia.
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                <arrow.to.target n="marg1507"/>
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              Ea enim quæ ſcribuntur, tria habere de­
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              bent, vtilitatem præſentem, certum finem,
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              inexpugnabile fundamentum. </s>
              <s id="s.010719">Quapropter
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              & Rhabani ſubtilitas inter inutiles cenſeri
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              debet, laboris immenſi, & admodum curio­
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              ſa. </s>
              <s id="s.010720">Hic ſimul carminis & numerorum legem
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              ſeruat primò, tum imaginem figurarum ſitu
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              literarum explicat, literis in figura incluſis:
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              rurſus ſenſum, & hiſtoriam continet figu­
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              ræ, atque his etiam carmina conſtruit. </s>
              <s id="s.010721">To­
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              ta verò ſerie carminum, omnem explicat
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              denuò ſenſum figuræ contentæ. </s>
              <s id="s.010722">Sic cru­
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              ces, arbores, aueſque, aliáque innumera,
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              hac arte depingit: cuius hoc vnum ſit exem­
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              plum.
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                <emph type="quote"/>
              Arbor odore potens, frondoſo vertice nata,
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              Qua ſumma verè ſacro, u fluit ordine bertas,
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              Hortus ditatus, & par cui nullus in orbe eſt.
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              </s>
              <s id="s.010723">Floribus, & foliis, milleno germine diues,
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              Omnes excedens altas rauitudine ſyluas,
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              Cum totam piè magnus ueſtit honóſque, decúſque,
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              Ambit verus honor, laetvs loquitur ea voto,
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              Stans homo liuor hoc nationi denegat atræ.
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              </s>
              <s id="s.010724">Dæmonis horrendus rem ſciri laude moueri,
                <lb/>
              Arbor ſola tenens uarios virtute colores:
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              Purpureo regis ſub tactu roſcida fulgens,
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              Æterno es radio, ſtant in te nam piè vincta,
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              Ædes turritæ, ex hoc dudum es nomine berta.
                <emph.end type="quote"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.010725">
                <margin.target id="marg1507"/>
              Quæ ſcribun­
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              tur tria ha­
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              bere debent.
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              </s>
              <s id="s.010726">Rhabani
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              ſubtilitas
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              mira.</s>
            </p>
            <p type="main">
              <s id="s.010727">Si animaduertas, deſcendendo legitur
                <lb/>
              carmen hoc:
                <lb/>
                <emph type="quote"/>
                <emph type="italics"/>
              Forma ſacrata crucis, venerando fulget amictu.
                <emph.end type="italics"/>
                <emph.end type="quote"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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