Cardano, Girolamo, De subtilitate, 1663

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            <pb pagenum="587" xlink:href="016/01/234.jpg"/>
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              Odij.</s>
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              <s id="s.010661">
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              Inuidiæ.
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              </s>
              <s id="s.010662">Amoris.</s>
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              Suſpicionis.
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              </s>
              <s id="s.010664">Audaciæ.</s>
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            <p type="margin">
              <s id="s.010665">
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              Lib.7.Apho­
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              riſ.40.</s>
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              Clamor ini­
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              tio pugnæ.</s>
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            <figure id="id.016.01.234.1.jpg" xlink:href="016/01/234/1.jpg" number="89"/>
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              LIBER DECIMVSQVINTVS,
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            <p type="main">
              <s id="s.010668">
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              De inutilibus ſubtilitatibus.
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              <s id="s.010669">EIVSMODI ſunt hæc, cur ſi
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              ſuper tabulam aliam ictus in­
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              cidat, non adeò frangitur ſup­
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              poſita tabula, vt in cuneis fi­
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              gendis: certè quia ictus per
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              totam ſuppoſitam tabulam diſtribuitur, vn­
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              de minor euadit in ſingulis partibus: nec
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              cogitur pars deſcendere alia relicta, quod
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              maximè fracturæ initium eſt: eo etiam inter­
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              medio temperatur ictus: âër quoque cùm im­
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              pulſu careat, violenter ingredi non poteſt
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              ſecundum tabulam ſubiectam, quare nec di­
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              uidere. </s>
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              <s id="s.010670">Simile illud, cur vaſa vitrea igni expo­
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              ſita ſuperimpoſito ſurculo non rumpantur:
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              quoniam lignum non incaleſcit, cogitque
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              vt vitri partes miſceantur: frangitur au­
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              tem, quia aqueum humidum prius infla­
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              tum conuertitur. </s>
              <s id="s.010671">Verùm nullius vſus eſt
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                <arrow.to.target n="marg1504"/>
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              inſtrumentum ex ſeptem annulis. </s>
              <s id="s.010672">Bractea
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              ferrea digitum lata, palmi longitudine, te­
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              nuis, in qua ſeptem foramina, rotunda, an­
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              guſta, æquíſque ſpatiis, ſecundum longi
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              tudinem diſpoſita, ſeptem excipiunt virgu­
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              las tenues, altitudine vnciæ fermè, mobi­
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              les in imo, & in ſuprema parte circumfle­
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              xas, vt annulos digiti magnitudine inclu­
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              ſos retineant, ipſe verò virgæ à ſequenti
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              annulo infra flexuram continentur. </s>
              <s id="s.010673">Ob id­
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              que omnes annuli præter primum, ab ante­
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              cedente, ne exiliant liberè extra
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              anteriorem virgam prohibentur:
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              ferrea omnia & ferrea etiam na­
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              uicula, cuius ſpeciem ad vnguem
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              in margine reddimus, longa la­
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              táque pro magnitudine ſubiectæ
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              laminæ. </s>
              <s id="s.010674">Hoc inſtrumento ludus
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              excogitatus miræ ſubtilitatis. </s>
              <s id="s.010675">Pri­
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              mus, ſecundúſque annulus per
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              inane A, ſpatium immittitur, in­
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              de nauicula per eoſdem annulos,
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              pòſt illorum primus per inane A,
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              demittitur, poſt quem tertius an­
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              nulus per nauiculæ vacuam me­
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              diam partem, vt primi duo ſur­
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              ſum trahitur, illique nauicula in­
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              truditur: tum etiam primò ſur­
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              ſum deducto, iam tres circumam­
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                <figure id="id.016.01.234.2.jpg" xlink:href="016/01/234/2.jpg" number="90"/>
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              biunt nauiculam ipſam: demittes igitur duos
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              primos exempta prius nauicula, ita illa ſo­
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              li tertio incluſa manebit, inde quartum ſu­
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              perinducere licebit, vt omnis hæc induſtria
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              tribus præceptis contineatur. </s>
              <s id="s.010676">Primùm,
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              quòd annulus ſurſum trahendus, dimitten­
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              dúſve, vnum tantùm habeat ante ſe, cui
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              nauicula includatur. </s>
              <s id="s.010677">Secundùm, vt dùm de­
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              mittis, vnà ſemper primos duos demittat,
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              & vnum trahat, vel vnum demittendo duos
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              primos trahat. </s>
              <s id="s.010678">Tertiùm, vt quocunque ſur­
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              ſum tracto, vel demiſſo, omnes qui antè
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              ſunt ſurſum trahere neceſſe eſt, ac rurſus
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              demittere. </s>
              <s id="s.010679">Primi itaque duo à nullo alio
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              impediuntur, ne intercurrant: primum vo­
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              co eum annulum, qui liber eſt in ſexagin­
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              taquatuor vicibus (ſi ſine errore agatur) na­
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              uicula in omnibus includitur annulis, vir­
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              gáſque omnes incluſas continet in triginta­
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              vna, aliis vt nonaginta quinque ſint ab ab­
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              ſolutione ad primi tranſitum ſeu vltimi,
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              redeat verò totidem. </s>
              <s id="s.010680">Igitur circulus per­
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              ficietur totus in centum nonaginta vici­
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              bus. </s>
              <s id="s.010681">Inutile eſt hoc per ſe, ſed tamen ad
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              ſeras artificioſas arcarum transferri poteſt. </s>
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              <s id="s.010682">
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                <expan abbr="Inſtrumẽtum">Inſtrumentum</expan>
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              ludricum.</s>
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            <p type="main">
              <s id="s.010683">Similis ſubtilitas eſt in latrunculorum
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              ludo, ſed delectabilior, ob varietatem, &
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              contentionem: vt enim nauicula in genere
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              illo eſt ſubtiliſſimæ inuentionis, ita latrun­
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              culi inter ludos omnes. </s>
              <s id="s.010684">Scripſimus autem de
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              Ludis, quatuor libros olim. </s>
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              Latrunculo­
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              rum ludus
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              ſubtiliſſimus.</s>
            </p>
            <p type="main">
              <s id="s.010686">In eodem genere eſt modus cognoſcendi
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              chartam excogitatam. </s>
              <s id="s.010687">Fac vt mente illam
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              concipiat, inde oſtende per ſingulas: vbi
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              annuerit, digito illam clàm ſignabis, illi­
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              cóque miſcebis, inde inuentam oſtendes.
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              </s>
              <s id="s.010688">Alij eam notæ anteponunt, miſcéntque &
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              antequam ſeparetur vident, inde ſeparant,
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              aut arbitrio ſocij relinquunt. </s>
              <s id="s.010689">Alij numeris
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              ſæpiùs diuidentes venantur. </s>
              <s id="s.010690">Inutilis etiam
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              eſt illa ſubtilitas, quæ docet omnia commer­
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              cia pretio quadrantis dirimi poſſe, etiam­
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              ſi rei æſtimatio ſit decies centena millia.
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              </s>
              <s id="s.010691">Sit equus eius gratia exempli, pretij ſci­
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              licet decies centenùm millium, quem mi­
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              hi venditurus ſis ea pecunia: oſtendere
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              volo quadrante poſſe dirimi venditionem. </s>
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            <p type="margin">
              <s id="s.010692">
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              Charta exco­
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              gitata quo­
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              modo cogno­
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              ſcatur.</s>
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            <p type="main">
              <s id="s.010693">Nam ſi offeram quinquies centena mil­
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              lia, & renuas, offeram nouies centena mil­
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              lia: quæ ſi non recipis, offero nouies cente­
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              na, & quinquaginta millia: quæ ſi renuis,
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              iterum offero nouies centena octuaginta
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              millia: quòd ſi his aſſentiris, offero no­
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              uies centena ſeptuaginta millia: quæ ſi non
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              recipis, offero nouies centena ſeptuaginta­
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              quinque millia: quæ ſi non recipis, recipias
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              autem gratia exempli nouies centena ſe­
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              ptuaginta octo millia, quæro an recipias
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              mille minus? </s>
              <s id="s.010694">inde quingenta? </s>
              <s id="s.010695">tandem ad
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              centum, & quinquaginta, inde ad decem,
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              deinde per ſingulos denarios, inde num­
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              mos, pòſt quadrantes, imò etiam obolos
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              progredieris, donec eò veniat, vt obolo
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              venditio dirimatur. </s>
              <s id="s.010696">Id facilius oſtendes ſi
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              obolis ſingulis auctis interroges: nam in al­
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              terum duorum abſurdorum incidere coge­
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              tur, vel vt oboli additione vendat: quod priùs
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              nolebat ante oboli additionem, vel vt nul­
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              lo pretio vendere velit. </s>
              <s id="s.010697">Hæc itaque noſtra
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              arguta inuentio ad nihil vtilis eſt, egregia </s>
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