Cardano, Girolamo, De subtilitate, 1663

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            <p type="main">
              <s id="s.003452">
                <pb pagenum="434" xlink:href="016/01/083.jpg"/>
              adhæſerint virgæ, tunc planum illud, &
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              verè planum eſt, & tale in quod ducta ex
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              centro terræ linea perpendicularis eſt, &
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              hoc planum ad altitudinem ſumendam ido­
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              neum eſt. </s>
              <s id="s.003453">Quòd ſi vel dum hæret circulus pla­
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              no perpendicula non hærent, aut dum hæ­
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              rent perpendicula, circulus ab aliqua parte
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              planum non tangit, planum illud non eſt
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                <arrow.to.target n="marg425"/>
                <lb/>
              idoneum. </s>
              <s id="s.003454">Quare ſi velis hac cura carere,
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              virgam tabulæ planæ & leni magnæ ad per­
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              pendiculum infige, & tunc vbicunque tabu­
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              lam collocaueris, vt perpendicula tangant
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              virgam, opportunum tibi planum inueniſſe
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              perſuadeto. </s>
              <s id="s.003455">Quòd ſi magnitudinem poſtmo­
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              dum ſyderis etiam ſcire libeat, ex vmbræ
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              fine ( vt dixi ſuperius ) cùm iam altitudinem
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              noueris potes inuenire. </s>
              <s id="s.003456">Verum, quia ſcire
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              hunc vmbræ finem eſt operoſum, & non
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              omninò leue,
                <expan abbr="tũ">tum</expan>
              maximè in aliis ſyderibus à
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              Sole & Luna, hoc alia via facillimè aſſeque­
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              ris. </s>
              <s id="s.003457">Sume in planiſpherio dimetientem ſyde­
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              ris, quem duplica & ei decimamnonam par­
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              tem adde, & cum hoc diuide ſemper ſeptem
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              millia & ducenta, & numerus proueniens
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              eſt proportio altitudinis ad dimentientem ſy­
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              deris. </s>
              <s id="s.003458">Cùm igitur altitudinem ſyderis iam
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              cognitam habeas, & proportionem altitu­
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              dinis ad dimentientem, palàm eſt dimentien­
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              tem cognitam eſſe. </s>
              <s id="s.003459">Velut ponamus dime­
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              tientem ſyderis minuta nouem cum dimidio,
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              duplicabo hæc, & fient minuta decem & no­
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              uem: quibus addam ſemper partem deci­
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              mam nonam, ob magnitudinem dimetien­
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              tis in tabula, & fient minuta viginti: diuido
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              ſeptem millia ducenta. </s>
              <s id="s.003460">& ſunt minuta dime­
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              tientis, & exeunt trecenta ſexaginta, & ideo
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              manifeſtum eſt ex hoc, dimetientem eius ſy­
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              deris eſſe ſuæ altitudinis partem trecenteſi­
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              mam ac ſexageſimam. </s>
              <s id="s.003461">Ergo quantum vtili­
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              tatis præbeat, & quàm ſubtilis ſit contem­
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              platio radiorum, ex his omnibus patet: à
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              cæteris autem menſuris, vt de quibus tra­
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              ctauerim in lib. 12. perfecti operis, nunc ab­
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              ſtinebo. </s>
            </p>
            <p type="margin">
              <s id="s.003462">
                <margin.target id="marg424"/>
              Lib.1. propo­
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              ſitione 23.</s>
            </p>
            <p type="margin">
              <s id="s.003463">
                <margin.target id="marg425"/>
              Syderum
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              magnitudo
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              quomodo fa­
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              cilè dignoſ­
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              catur.</s>
            </p>
            <figure id="id.016.01.083.1.jpg" xlink:href="016/01/083/1.jpg" number="63"/>
            <p type="main">
              <s id="s.003464">
                <emph type="center"/>
              LIBER QVINTVS,
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.003465">
                <emph type="center"/>
              De Miſtione & Miſtis imperfectè, ſeu
                <lb/>
              Metallicis.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.003466">HACTENVS igitur quinque
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              fermè partes totius operis ſunt
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              abſolutæ, ſcilicet de principiis
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              occultioribus, materia, forma,
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              vacuo, corporum vnitione pri­
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              mo. </s>
              <s id="s.003467">De elementis ſecundo, quoniam prin­
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              cipia eſſent integra, abſoluta & manife­
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              ſta. </s>
              <s id="s.003468">Tertio de cœlo. </s>
              <s id="s.003469">Quarto de lumine &
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              luce. </s>
              <s id="s.003470">Quintam partem, quæ eſt de his quæ
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              apparent, non plenè abſoluimus, cùm mul­
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              ta deſint, quæ ad aures & alios ſenſus, tum
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              mentem & etiam ad oculos pertinent. </s>
              <s id="s.003471">Nunc
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              igitur de miſtis agendum erit: nam miſta
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              primis illis indigent, tum elementis de cœ­
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              lo, & lumine, lucéque, propterea de illis
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              primùm tractauimus. </s>
              <s id="s.003472">Indigere autem miſta
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              ipſa cœlo, & quantum cœli conſtitutio in
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              hæc poſſit inferiora, manifeſtis argumentis
                <lb/>
              depræhendere licet. </s>
              <s id="s.003473">Nam farina quæ Augu­
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              ſto menſe è frumento in mola confecta eſt,
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              toto anno apud nos ſeruari ſolet incorrupta.
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                <arrow.to.target n="marg426"/>
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              Et zethum quod Martij luna fit, ferunt du­
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              rare toto anno cum æſtate diebus 20. hyeme
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              duobus menſibus maneat incorruptum. </s>
              <s id="s.003474">Re­
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              ferunt Gedanenſe zethum in decem annos,
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              nonnunquam in viginti perdurare, nec aceſ
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              cere, nec muceſcere, quod aqua Martia con­
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              ficiatur: alia cauſa eſſe poteſt, quòd Martio
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              menſe ſemina adhuc viuunt lupi ſalictarij,
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              humidum autem tunc planè conſumptum
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              eſt: maximè enim diſtat à tempore, quo
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              collectum fuit ſemen illud, ob id efficacem
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              & minimè humidum biriam ſeu ceruiſiam
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              ( ſic enim vocant Germani zethum ) effi­
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              cere poteſt. </s>
              <s id="s.003475">Efficax eſt tunc ſemen, quo­
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              niam ſoleat eo tempore pullulare. </s>
              <s id="s.003476">Infini­
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              ta ſunt huius rei experimenta: nam Ver­
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              giliæ herbæ cum ſtellis eiuſdem nomi­
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              nis oriuntur & occidunt. </s>
              <s id="s.003477">Sed illud ſo­
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              lum repetere cogor, miſta hæc omnia,
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              ſolo duntaxat homine excepto, terra &
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              aqua, & cœleſti calore conſtare. </s>
              <s id="s.003478">Ho­
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              rum pars ſub terra latitat, alia in vndis,
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              alia verò ſupra terram: nunc autem de
                <lb/>
              his quæ natura latitant, dicere propoſitum
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              eſt. </s>
            </p>
            <p type="margin">
              <s id="s.003479">
                <margin.target id="marg426"/>
              Lunæ pro ze­
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              tho
                <expan abbr="conficiẽ-do">conficien­
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                do</expan>
              , & farina
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              conſeruanda
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              obſeruatio.</s>
            </p>
            <p type="margin">
              <s id="s.003480">
                <margin.target id="marg427"/>
              Vergiliarum
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              herbarum
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              mirum.
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              </s>
              <s id="s.003481">Plin. lib.18
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              cap.27.</s>
            </p>
            <p type="main">
              <s id="s.003482">Quæcunque igitur miſta ſub terra, aquiſ­
                <lb/>
                <arrow.to.target n="marg428"/>
                <lb/>
              ve ſunt motus expertia, in quatuor genera
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              diuidunt, terras, ſuccos, lapides, metalla.
                <lb/>
              </s>
              <s id="s.003483">Non poſſe autem plura eſſe, hoc oſtendi­
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              tur argumento: nam vel liqueſcunt, & re­
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              deuntia in propriam formam dura manent,
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              & hæc metalla vocantur. </s>
              <s id="s.003484">Nihil enim aliud
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              eſt metallum, quàm quod liqueſcere poteſt,
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              & cum redit, durum manet. </s>
              <s id="s.003485">Durum autem
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              duobus modis intelligo, quod non facilè ce­
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              dat, nec facilè frangitur: tale autem omne
                <lb/>
              manifeſtum eſt quod duci poteſt: vnde bitu­
                <lb/>
              men ducitur, & non reſiſtit: cryſtallus reſiſtit,
                <lb/>
              & melius ſtibium, ſed non ducuntur, ideo
                <lb/>
              percuſſa facilè fraguntur. </s>
              <s id="s.003486">Quod verò liqueſ­
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              cit, & dum redit, durum non eſt, ſuccus voca­
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              tur. </s>
              <s id="s.003487">Quod omninò non liqueſcit, vel du­
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              rum eſt, & vocatur lapis: vel molle, &
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              facillimè in minima tranſiens, & vocatur
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              terra. </s>
            </p>
            <p type="margin">
              <s id="s.003488">
                <margin.target id="marg428"/>
              Genera om­
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              nia eorum
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              quæ ſub ter­
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              ra
                <expan abbr="latẽt">latent</expan>
              qua­
                <lb/>
              tuor eſſe de­
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              monſtratur.</s>
            </p>
            <p type="main">
              <s id="s.003489">Præter hæc tamen quatuor, permiſta ex
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                <arrow.to.target n="marg429"/>
                <lb/>
              his ſunt alia plura genera corporum. </s>
              <s id="s.003490">Quòd
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              ſi rectè qui numerare ſciat, vndecim, nec
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              plura eſſe comperiet. </s>
              <s id="s.003491">Simplicium exempla </s>
            </p>
          </chap>
        </body>
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