Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id003135">
                <pb pagenum="174 [=180]" xlink:href="015/01/199.jpg"/>
              to ruborem, ciliorum
                <expan abbr="cõtractionem">contractionem</expan>
              , tumorem faciei in ambulante
                <lb/>
              inclinationem quandam, flexionem cruris atque ſimilia. </s>
              <s id="id003136">quintum eſt
                <lb/>
              lux coloribus
                <expan abbr="exhibẽda">exhibenda</expan>
              , ſed de horum nullo propoſitum eſt hic lo­
                <lb/>
              qui, quando quidem hæc uſu magis & conſideratione, quàm ratio­
                <lb/>
              ne conſtent proportioneúe, nec ſint adeò admiranda ut neque ſim­
                <lb/>
              plex magnitudo
                <expan abbr="quãſexto">quanſexto</expan>
              loco reponere poſſumus. </s>
              <s id="id003137">Tria ergo ui­
                <lb/>
              dentur eſſe præcipua quorum nunc ratio habenda eſſet, ut ſint in
                <lb/>
              totum nouem, ſed unum ex his relinquemus, tum quia alienum ab
                <lb/>
              hac conſideratione, tum quia alibi pertractatum atque etiam ab alijs,
                <lb/>
              neque adeò admiratione dignum ſcilicet magnitudo picturarum re­
                <lb/>
              ſpondens magnitudini corporum iuxta ſitus differentiam, nam
                <lb/>
              quę altiores ſunt paulo latiores atque in ſuperiori magis parte quam
                <lb/>
              in inferiore, multò autem longiores eſſe oportet, ſic & quæ à latere
                <lb/>
              erunt eadem ratione iuxta aſpectus ingredientium rationem. </s>
              <s id="id003138">Ve­
                <lb/>
              rum hoc ut dixi omittamus, & de duplici miraculo in pictura lo­
                <lb/>
              quamur, ſcilicet diſtantia magna quam in parua tabella referimus,
                <lb/>
              et corporeitate quam in plano repręſentamus. </s>
              <s id="id003139">Horum autem duo­
                <lb/>
              rum aliqua communia ſunt aliqua propria. </s>
              <s id="id003140">Dicemus ergo
                <expan abbr="primũ">primum</expan>
                <lb/>
              de corpore ita pingendo, ut palàm extra tabulam prominere uide
                <lb/>
              atur. </s>
              <s id="id003141">Hoc autem primum ex forma ſumitur, nam ſi corpus in plano
                <lb/>
              ſit neceſſe eſt, ut partes illius quædam prorſus abſcondantur, par­
                <lb/>
              tes aliæ non prorſus, aliæ prorſus ſint in conſpicuo. </s>
              <s id="id003142">Ergo pictu­
                <lb/>
              ram talem fingere oportebit, quæ partes ſingulas pro ratione oſten
                <lb/>
              dat aut occultet. </s>
              <s id="id003143">
                <expan abbr="Secũda">Secunda</expan>
              ratio eſt quod ima corporis obſcura ſunt,
                <lb/>
              ſummę partes lucidę & claræ ac lumine quaſi dealbatæ: media, me­
                <lb/>
              dia quadam ratione ut in columnis, tantumque poteſt hæc ratio, ut
                <lb/>
              uel ſola picturas fallere nos faciat corpora eas eſſe putantes. </s>
              <s id="id003144">Opor­
                <lb/>
              tet autem imum eſſe ad unguem ſimile in colore colori anguli loci
                <lb/>
              & ſummum parti quæ ſe oculis maximè ſubiectam præbet & cla­
                <lb/>
              ram: media uerò qualia ex umbris obſcurari ſolent. </s>
              <s id="id003145">Tertia ratio eſt
                <lb/>
              pro modo partium iuxta
                <expan abbr="obliquitatẽ">obliquitatem</expan>
              aſpectus: nam inſpicienti a b
                <lb/>
              in c d ex e oculo: depingemus in c d iuxta obli­
                <lb/>
                <figure id="id.015.01.199.1.jpg" xlink:href="015/01/199/1.jpg" number="197"/>
                <lb/>
              quitatem ſuam, quia cum c d uideatur per line­
                <lb/>
              as e a c & e b d, & eleuatum in ſitu a b, neceſſe eſt
                <lb/>
              ut uideatur in ſitu a b, ergo eleuatum à c d. </s>
              <s id="id003146">Eſt
                <lb/>
              & alia conſideratio proportionis ad proxima
                <lb/>
              remotaque, grati a exempli, ſi homo eſſet poſt co­
                <lb/>
              lumnam a b, lateret eius pars, quæ eſt propinquior parieti c d, ergo
                <lb/>
              ſi depinxerimus hominis partes tantum dextram, reliquum ſub um
                <lb/>
              bra, cogitur oculus iudicare columnam eleuatam a pariete. </s>
              <s id="id003147">De­
                <lb/>
              mum omnia hæc ita ſunt ſubijcienda oculis, & per minimas </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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