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="id002157">
                <pb pagenum="121" xlink:href="015/01/140.jpg"/>
              quòd tanta ne ſit, ut euidentem in gnomonibus faciat uarietatem,
                <lb/>
              ſeu quòd incertum adhuc ſit, an id uerè ſoli accidat. </s>
              <s id="id002158">Tertium eſt fi­
                <lb/>
              nis umbræ ipſius gnomonis, qui incertus eſt, ut pars non contem­
                <lb/>
              nenda in dubium uertatur, quoniam ſenſim ex obſcuro in illumi­
                <lb/>
              natum feratur, at tamen contemnitur etiam. </s>
              <s id="id002159">Quartum quòd cum
                <lb/>
              ſol moueatur in ſpira, fingitur quaſi in parallelo æquinoctiali circu
                <lb/>
              lo circumagatur ab his, qui horologia deſcribunt. </s>
              <s id="id002160">Quintum quòd
                <lb/>
              cum inæqualiter in orbe ſuo moueatur quanuis exigua ſit hæc dif­
                <lb/>
              ferentia, æqualiter
                <expan abbr="tamẽ">tamen</expan>
              moueri præſupponitur. </s>
              <s id="id002161">Sextum eſt, quòd
                <lb/>
              dies æquales ſupponuntur, qui tamen tum ex ratione partis pera­
                <lb/>
              gratæ, tum ratione aſcenſus
                <expan abbr="eiuſdẽ">eiuſdem</expan>
              ſunt inæquales, &
                <expan abbr="tamẽ">tamen</expan>
              hæc in­
                <lb/>
              qualitas
                <expan abbr="etiã">etiam</expan>
              in
                <expan abbr="horarũ">horarum</expan>
              computatione prætermittitur. </s>
              <s id="id002162">Sed & hęc ut
                <lb/>
              prior ratione magis,
                <expan abbr="quã">quam</expan>
              ſenſu
                <expan abbr="deprehendit̃">deprehenditur</expan>
              . </s>
              <s id="id002163">
                <expan abbr="Septimũ">Septimum</expan>
              eſt diſcrimen,
                <lb/>
              q̊d oritur ex uiſus circulo ſeu horizonte, & circulo tranſeunte p cen
                <lb/>
                <expan abbr="trũ">trum</expan>
              mundi, nam horizon uere
                <expan abbr="tãto">tanto</expan>
              minor eſt circulo magno, quan­
                <lb/>
              tum eſt ſemidiameter terrę,
                <expan abbr="cõparatus">comparatus</expan>
              ad
                <expan abbr="ſemidiametrũ">ſemidiametrum</expan>
              orbis cœle
                <lb/>
              ſtis, ſed eſt inſenſilis quantitatis. </s>
              <s id="id002164">
                <expan abbr="Octauũ">Octauum</expan>
              eſt, quod trianguli ex gno­
                <lb/>
              mone umbra, & radijs ſolis latera non mutant lineas, quæ à ſole ad
                <lb/>
              centrum terræ deueniunt, nec quòd maius eſt, radius ſolis ad uerti­
                <lb/>
              cem hominis breuior habetur femidimetiente. </s>
              <s id="id002165">Hæc
                <expan abbr="igit̃">igitur</expan>
              omnia
                <expan abbr="ſci­otericorũ">ſci­
                  <lb/>
                otericorum</expan>
              opifices non obſeruant, ſed negligunt. </s>
              <s id="id002166">Verum quatuor
                <lb/>
              tantùm altitudinem poli regionis locum ſolis in eclyptica locum
                <lb/>
              ſolis in circulo æquinoctialis, uel æquinoctiali parallelo, ex qui­
                <lb/>
              bus tribus fit altitudo ſolis, una in circulo ſcilicet uerticali ab hori­
                <lb/>
              zonte, & differentia lineæ meridianæ à linea uerſus polum, quam
                <lb/>
                <arrow.to.target n="marg416"/>
                <lb/>
              oſtendit lapis Herculeus, de qua dictum eſt ſuperius.</s>
            </p>
            <p type="margin">
              <s id="id002167">
                <margin.target id="marg416"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              84.</s>
            </p>
            <p type="main">
              <s id="id002168">Propoſitio centeſima uigeſima tertia.</s>
            </p>
            <p type="main">
              <s id="id002169">Cognita ratione umbrę ad gno
                <lb/>
              monem ſinum, & arcum altitudi­
                <lb/>
              nis ab horizonte quouis tempo­
                <lb/>
              re dignoſcere.</s>
            </p>
            <figure id="id.015.01.140.1.jpg" xlink:href="015/01/140/1.jpg" number="132"/>
            <p type="main">
              <s id="id002170">Sit circulus magnus, in quo ſol
                <lb/>
                <arrow.to.target n="marg417"/>
                <lb/>
              a f g ſuperſtans ad perpendicu­
                <lb/>
              lum circulo uiſus f e g, quos mani
                <lb/>
              feſtum eſt tranſire per idem cen­
                <lb/>
              trum mundi c, quia magni ſunt, &
                <lb/>
              ſit c d erecta ad perpendiculum
                <lb/>
              ſuper f g, nam perinde eſt per ſe­
                <lb/>
              ptimum contemptum, ac ſi ſuper­
                <lb/>
                <arrow.to.target n="marg418"/>
                <lb/>
              ficies horizontis tranſeat per terrę centrum, & pedes per octauum,
                <lb/>
                <arrow.to.target n="marg419"/>
                <lb/>
              ideo proportio e c ad c d umbræ ad gnomonem, ut b e ad b a, ergo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>