Cardano, Girolamo, De subtilitate, 1663

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              <s id="s.012157">
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              dictum eſt autem de his aliàs. </s>
              <s id="s.012158">Verum &
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              aquæ quædam, vt boraginis, quæ per deſtil­
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              lationem habentur. </s>
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            <p type="main">
              <s id="s.012159">Sed in omnibus, præter rem ipſam ars
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              deſideratur: velut in maculis tollendis, ab­
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              luere oportet, inde exprimere non leuiter, ac
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              rurſus madefacere, exprimeréque, id quater
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              aut quinquies cùm effeceris, emaculatam
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              oleo, pinguedineve confeſtim veſtem con­
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                <arrow.to.target n="marg1667"/>
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              ſpicies. </s>
              <s id="s.012160">Caue tamen, ne felis vrina color pe­
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              rierit, macula enim videbitur, quæ non eſt:
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              ergo tunc inſtaurandus colos, non detergen­
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              da macula: Cocco purpureus, rubens braſi­
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              lio, cœruleus Indico, & glaſto, ſed addito vio­
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              lento, ſine quo locus eſt viridi, velut ferrugi­
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              neum ſchuodenum lignum cum braſilio ef­
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              ficit, croceum indico, & glaſto, nigrum verò
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              atramento. </s>
              <s id="s.012161">Pingues verò maculas valdè, fe­
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              runt cinere oſſium caſtratorum tenuiſſimo
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              aboleri, cùm ſemper maculam inſperſus per
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              horas 24. inter tabulas ac linea comprimi­
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              tur. </s>
              <s id="s.012162">Verùm dices, cur non in candido aut
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              croceo, quæ in omnibus aliis coloribus va­
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              lent, maculas detergere etiam poſſunt? </s>
              <s id="s.012163">an
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              quia quæ detergunt, cùm valida ſint, macu­
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              lam aliam efficiunt in albo? </s>
              <s id="s.012164">at in croceo pro­
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              prium colorem tollunt: ſunt tamen quæ in
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              omnibus eluere maculas valeant. </s>
              <s id="s.012165">Sed modus
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              & res lino, lanæ, ſericóque diuerſa.
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              </s>
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            <p type="margin">
              <s id="s.012166">
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              Colores qui­
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              bus inſtau­
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              rentur.</s>
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            <p type="margin">
              <s id="s.012167">
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              Quomodo li­
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              brum confe­
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              ſtim in ordi­
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              nem rediges.</s>
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            <p type="main">
              <s id="s.012168">Quædam ſunt tamen, quæ non ad vnum
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              artis genus reducuntur, etſi ſubtilitate con­
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              ſtent mira: velut ſi librum in ordinem breui
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              redigere tentares, librum alium conficies è
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              charta duriore ac tenui malleo durata. </s>
              <s id="s.012169">Inde
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              duplici filo nec fragili, aut quadruplici à ver­
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              tice ad imum ducto, connexóque hinc inde,
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              duo capies exemplaria penitùs ſimilia, iuxta
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              typi vnius formam, diuidéſque ſententias,
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              vnius quidem à fronte, alterius à tergo ac
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              quas, quibus voles, ſubiicies inter fila, char­
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              támque, totiéſque mutabis ac tranſpones,
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              adiicies, demes, donec ordo non ſolum ſen­
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              tentiarum, ſed & verborum vndequaque
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              conueniat. </s>
              <s id="s.012170">Tunc glutine aliquo ſublata li­
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              bellorum fruſtra chartis annectes puris. </s>
              <s id="s.012171">Ita
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              tridui labore totum librum melius in ordi­
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              nem ac facilius rediges, quàm ſi toto anno
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              tranſcribendo laboraſſes. </s>
              <s id="s.012172">Nam ſæpè prior
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              commutatio meliore oblata diſplicebit. </s>
              <s id="s.012173">In
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              hac tranſmutandi locus ſemper relinquitur.
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              </s>
              <s id="s.012174">Multa ſunt in hoc genere ſingularis cuiuſ­
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              dam ſubtilitatis, & egregiæ vtilitatis, ſed
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              ſufficiat tria adieciſſe exempla: nam his
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              quatuor ducibus ſatisfacere etiam in aliis
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              quiſque ſibi poterit. </s>
              <s id="s.012175">Primùm igitur eſt, cùm
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              farraginem quandam in ordinem aliquem
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              conſtitutum, vel etiam alterius libri, certa ra­
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              tione redigere volueris. </s>
              <s id="s.012176">Præpones ordine
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              numerorum ab vnitate numeros vnicuique:
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              diuides & totam farraginem in decem par­
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              tes, aut nouem, vndecimve, & totam ad ca­
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              pita illa rediges. </s>
              <s id="s.012177">Primo præpone 1, ſecun­
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              do 1. tertio 2. atque ita deinceps, vt præter­
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              quam primæ vnitati, cæteris punctis adii­
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              ciatur. </s>
              <s id="s.012178">Quæ igitur ſub prima vnitate conti­
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              nentur, iterum in ordinem rediges: ſi quidem
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              pauca fuerint, ab vno ad decem: ſi valdè
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              plura, ab vno ad mille, ſi mediocria, ab vno
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              ad centum. </s>
              <s id="s.012179">Sic quæ ſubiiciuntur 1. ſi pauca,
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              à decem ad viginti: ſi plurima, à mille ad
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              duo millia: ſi mediocria, à centum ad ducen­
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              ta. </s>
              <s id="s.012180">Eodem ordine procedes poſt 2. in his, quæ
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              illi notæ ſubiiciuntur, donec in exquiſitum
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              ordinem cuncta redegeris. </s>
              <s id="s.012181">Poſtmodum præ­
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              pones ordine numerorum alios numeros cor­
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              reſpondentes, maiores maioribus, minores
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              minoribus, ita tamen, vt qui ſunt in primo,
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              & vltimo ordine ſint æquales, non tamen
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              ſibi inuicem reſpondentes. </s>
              <s id="s.012182">Dele omnes me­
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              dios numeros, relinquuntur igitur tibi duo
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              ordines, primus atque vltimus, quos cauſa
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              breuitatis exempli placuit
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              ad decem ſolùm extendi.
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              </s>
              <s id="s.012183">Primus igitur ordinem ſi­
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              nificat, quo farrago ſcri­
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              pta eſt, vltimus, quo ſcribi
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              deberet. </s>
              <s id="s.012184">Vt igitur vnum
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              ad alterum traducas, ſcri­
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              bes ſerie numerorum to­
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              tidem in alia tabula, vt
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              fiat primus ordo tabulæ
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              ſecundæ: quare igitur in
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              primo ordine primæ ta­
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              bulæ vnumquenque nu­
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              merum, cui reſpondeat ex
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              vltimo primæ tabulæ, &
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              illum, cui correſpondet,
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              quære in tabula ſecunda
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              in primo ordine (hoc enim
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              facillimum eſt, cùm ſerie
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              naturali ibi numeri diſpo­
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              nantur) eóque inuento in
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              illius directo numerum
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              primi ordinis primæ tabu­
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              læ colloca. </s>
            </p>
            <p type="margin">
              <s id="s.012185">
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              Farrago quo­
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              modo in or­
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              dinem redi­
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              gatur.</s>
            </p>
            <figure id="id.016.01.273.1.jpg" xlink:href="016/01/273/1.jpg" number="130"/>
            <p type="margin">
              <s id="s.012186">
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                <emph type="italics"/>
              Vlt. Primus
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              </s>
            </p>
            <p type="margin">
              <figure id="id.016.01.273.2.jpg" xlink:href="016/01/273/2.jpg" number="131"/>
              <s id="s.012187">
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                <emph type="italics"/>
              Pri. Secundus.
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              </s>
            </p>
            <p type="main">
              <s id="s.012188">Atque ita bre­
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              uiſſimo temporis ſpatio­
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              rem perages, quoniam tres
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              numeros, quos quæris, abſque labore inue­
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              nies: illos quidem primæ tabulæ primi or­
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              dinis: quia ſemper procedis deſcendendo: il­
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              los vltimi ordinis, quia è regione ſunt inuen­
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              torum: illos primi ordinis ſecundæ tabulæ,
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              quia ſunt ſecundùm naturalem numerorum
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              ſeriem diſpoſiti. </s>
              <s id="s.012189">Vt in exemplo: primò in­
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              uenio in primo ordine primæ tabulæ 1. è re­
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              gione inuenio 7. quæro 7. in primo ordine
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              ſecundæ tabulæ, è cuius regione ſcribo 1. In­
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              de inuenio 2. in primo ordine primæ tabulæ,
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              in cuius directo inuenio 3. quæro 3. in primo
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              ordine ſecundæ tabulæ, in cuius directo ſcri­
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              bo 2. inuentum in primo ordine primæ ta­
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              bulæ. </s>
              <s id="s.012190">Sic igitur abſoluta tabula ſecunda: pri­
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              mus ordo indicat, quod primo tractandum:
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              ſecundus vbi è ferragine ſumendum ſit, quod
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              ſub eo argumento tractare volumus. </s>
              <s id="s.012191">Tunc
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              autem numeri omnes ordinis vltimi primæ
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              tabulæ ſunt obliterandi. </s>
            </p>
            <p type="main">
              <s id="s.012192">Secundum in his ſubtilitatis exemplum
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              eſt, cùm addere quicquam volueris libro
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              iam conſcripto, illud commodè efficies, ſi
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              ſingula, quæ addere velis, numerorum ſerua­
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              ta ſerie notaueris, eundémque numerum in
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              loco libri, ad quem transferri debent, ſcripſe­
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              ris. </s>
              <s id="s.012193">At ſi abſoluta hac additione, alta ſuccur­
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              rant, quæ prætermittere nolis, nec tamen
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              tranſcribere: alium libellum compones
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              præpoſitis numeris ordine naturali ſingulis
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              additionibus: ſed ſi prima additione mille
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              non exceſſerit, ſecundæ additionis nume­
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              ri à mille inchoabunt, & vltra per ordinem </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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