Cardano, Girolamo, De subtilitate, 1663

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              <s id="s.012942">
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              cognitionem poſſe peruenire. </s>
              <s id="s.012943">Verùm quòd
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                <arrow.to.target n="marg1769"/>
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              non licet aſſequi eſt deſcriptio ſphæræ in
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              plano, abſque maximo errore. </s>
              <s id="s.012944">Partem, in­
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              quam, docet Ptolemæus deſcribere quartæ
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              parti ſatis proximam: at de tota oportet
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              primum ſupponere, neceſſarium fore vt quæ
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              iuncta ſunt, maximè diſtent. </s>
              <s id="s.012945">Sic cum in hoc
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              partes diuiſas deſcribere volueris, iam hoc
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              te ſuperius docui fermè abſque errore vllo.
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              </s>
              <s id="s.012946">Sed ſi iunctam totam atque continuam, ſup­
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              ponemus AB à polo ad polum rectam, & ei
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              æqualem CD, & aliam quoque ei æqualem
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              CE, in directum iunctam, & erit ED du­
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                <figure id="id.016.01.290.1.jpg" xlink:href="016/01/290/1.jpg" number="154"/>
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              pla AB. </s>
              <s id="s.012947">Diuidemus CD & CE, per æqualia
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              in partes 4. vt ſit E F vna quarta pars E C,
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              & CD, & ducemus arcum F H G æqualem
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                <arrow.to.target n="marg1770"/>
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              E D. </s>
              <s id="s.012948">Quòd ſic faciemus: conſtat enim ex
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              demonſtratis hîc, quòd proportio periferiæ
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              circuli ad ſuam diametrum, eſt propinquiſſi­
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              ma ei quæ eſt 47. ad 15. ſaltem in facilibus
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              numeris: igitur poſita periferia circuli 360.
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              vt à Ptolemæo ſupponitur, eſt diameter ea­
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              rundem partium 115. nam diſcrimen eſt exi­
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              guum. </s>
              <s id="s.012949">Ptolemæus autem ponit centum vi­
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              ginti. </s>
              <s id="s.012950">Quæres igitur in tabula de arcu &
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              chorda, arcum qui ſit ſeſquitertius ſuæ rectæ
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              detracta parte vigeſimaquarta, & illius re­
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              ctam, abſque diminutione illa accipies. </s>
              <s id="s.012951">Erit
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              autem partium fermè centum quadraginta
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              ſeptem. </s>
              <s id="s.012952">Diuide igitur F G in totidem par­
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              tes, & iuxta has aſſume duas lineas quæ ſint
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              ſexaginta, ex quibus & FG triangulo facto
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              conum habebis pro centro. </s>
              <s id="s.012953">Ducta igitur
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              FHG, æqualem, & ſuper eadem ſemidiame­
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              tro deſcribes ſuper K, punctum medium AB,
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              quæ fit LKM, ita vt dimidium eius vtrinque
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              promineat: inde accepta parallelorum cir­
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              culorum tabula, deſcribes vnumquenque
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              circulorum ſuper eodem centro in debita
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              diſtantia citra, & vltra LKM, & cum debita
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              magnitudine, extendendo eos qui proximio­
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              res ſunt L K M vltra lineas, quæ à centro
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              communi prouenirent ad L & M. </s>
              <s id="s.012954">Et quan­
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              tò paralleli erunt frequentiores, eò exactior
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              erit complanatio. </s>
              <s id="s.012955">Inde diuides vnumquen­
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              que circulorum in partes trecentas ſexagin­
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              ta, & per illas duces lineas meridianorum
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              loco à polo ad polum, quæ neque rectæ
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              erunt, nec circulorum portiones, ſed iuxta
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              ſymmetriam oculi, & inclinationum ducen­
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              dæ erunt. </s>
              <s id="s.012956">Hîc igitur habebis longitudinem
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              latitudini duplam, vt in globi ſuperficie, &
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              diſtantiam circulorum ſeruatam. </s>
              <s id="s.012957">Meridiani
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              etiam non niſi ob obliquitatem maiores vi­
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              debuntur, quàm eſſe debeant. </s>
              <s id="s.012958">Quamobrem id
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              genus tranſlationis è figura rotunda in pla­
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              nam, videtur omnium eſſe præſtantiſſimum:
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              quod & cœlo, & terræ deſcribendæ commu­
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              ne noſtrum inuentum eſt. </s>
              <s id="s.012959">Verùm (vt dixi
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              )
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              quiſpiam forſan hæc, taliáque in numero
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              mirabilium habenda non cenſebit, ſed vene­
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              ficia tantùm, aliáque his ſimilia. </s>
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            <p type="margin">
              <s id="s.012960">
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              Sphæræ quo­
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              modo in pla­
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              no deſcribi
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              poſſit.</s>
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            <p type="margin">
              <s id="s.012961">
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              Periferiæ
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              circuli ad
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              diæmetrum
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              proportio
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              propinquiſſi­
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              ma.</s>
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            <p type="main">
              <s id="s.012962">Porrò veneficiorum genera quatuor ſunt:
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              in inanimatis, in plantis, in animalibus, &
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              hominibus. </s>
              <s id="s.012963">In hominibus autem ſpecies ſunt
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              vndecim: alia enim amorem conciliant, alia
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              odium ſerunt, quędam tabefaciunt, alia pror­
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              ſus occidunt, alia rurſus veternum prouo­
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              cant, alia faciunt diuinare, quædam morbos
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              curant, quædam impotentes ad Venerem fa­
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              ciunt, quædam augent fœlicitatem, quædam
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              omninò infœlicia, alia mentem mouent
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              Quæ mentem mouent, rurſus ſeptem ſunt
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              ſpecierum: alia enim terrorem, alia auda­
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              ciam, quædam mœrorem, quædam inſaniam
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              excitant: alia ſpectra videri per ſomnum
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              faciunt, aut etiam verè, & dum vigilant.
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              </s>
              <s id="s.012964">Sed quæcunque dum vigilant, ſpectra vide­
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              ri faciunt ad ludicram artem, aut dæmonas
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              pertinere ſæpius videntur: nonnunquam ta­
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              men ad veneficia. </s>
              <s id="s.012965">Sunt & quæ ſtuporem in­
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              ducant non ſolùm in animis hominum, ſed
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              & in corporibus, vt alij mentem immotam
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              habeant, alij cruciatus non ſentiant. </s>
              <s id="s.012966">Cauſæ
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              horum ſunt quatuor: vires manifeſtæ re­
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              rum, & occultæ, & fides, atque id quod no­
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              bis ignotum eſt, ſeu dæmones, ſeu inferi, ſeu
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              aliquid melius atque præſtantius. </s>
              <s id="s.012967">Materia
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              autem in cibis, potibus, ſuſpenſione, lumini­
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              bus, ſuffitis, lectulis, tactu, verbis, prælimi­
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              naribus figuris, & notis quas characteres
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              vocant: immolationibus, mentis concuſſio­
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              nibus, ſponſionibus, homicidiis, pompis ſa­
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              cris, atque prophanis, aliíſque innumeris,
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              quæ recitare longum eſſet. </s>
              <s id="s.012968">Horum minima
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              pars licita eſt, ſcilicet quæ bonum habent
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              finem, & vel naturæ viribus innititur, aut
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              ſimplici ſupplicationi. </s>
              <s id="s.012969">Aliorum exempla
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              ſubiiciam, vt intelligant homines quàm pa­
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              rum fidei his, talibúſque ſit habendum: nam
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              nullum horum quæ naturali ſubiecto ca­
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              rent, perpetuum eſt, frequentiúſque fallit,
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              quàm efficiat. </s>
              <s id="s.012970">Quòd ſi beneficio fidei effi­
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              ciat, nonne impuriſſimi eſt hominis, atque
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              ingratiſſimi, vti munere eius qui dedit, ad­
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              uerſus eum qui dedit? </s>
              <s id="s.012971">Vtque ſciant homi­
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              nes, etiam ſi ſuccedant pro votis malè quæ­
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              ſita, quàm parum vtilitatis ſint allatura. </s>
              <s id="s.012972">Ne­
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              que enim talibus ditari magis contingit,
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              quàm mercaturam exercendo, aut ſapere,
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              quàm ſtudendo, vel in arte militari facilius
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              euadere glorioſum, quàm ſtrenuis factis.
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              </s>
              <s id="s.012973">Quinimò horum omnium vita plerunque
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              flagitioſa, & calamitoſa, fama contaminata,
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              exiſtimatio contempta, finíſque miſerri­
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              mus. </s>
              <s id="s.012974">Quis magis talia profeſſus noſtris tem­
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              poribus vno Cornelio Agrippa, cuius om­
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              nes nouerunt caſus, vitam, paupertatem, in­
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              teritum. </s>
              <s id="s.012975">Et inter principes Ludouicus Sfor­
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              tia ſolus inter ſuæ familiæ, mortuus mi­
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              ſerrimè in carceribus. </s>
              <s id="s.012976">Et Patruelis eius
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              Laudenſis Epiſcopus, dum talibus operam
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              dat, vix credi poteſt, & ipſe inopia mor­
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              tuuus eſt, quum tamen eſſet illuſtri ſan­
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              guine, & (vt dixi) Epiſcopus. </s>
              <s id="s.012977">Nam ho­
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              rum tutiſſimæ ſunt opes, ac reditus ſecu­
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              riſſimi. </s>
              <s id="s.012978">Quis Martino ſeptimo Pontiſice ma­
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              gis his delectabatur, quum librum etiam
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                <emph type="italics"/>
              (
                <emph.end type="italics"/>
              vt fertur) harum ſuperſtitionum in ſinu </s>
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