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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            <p type="main">
              <s id="id002254">
                <pb pagenum="125" xlink:href="015/01/144.jpg"/>
              polo mundi circulus horarius f h k ad æquinoctij circulum, & uer­
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              ticalis circulus p h l uſque ad Horizontem, & circulus parallelus æ­
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              quinoctij circulo h m, ſit ergo h l altitudo ſolis nota, igitur h g nota </s>
            </p>
            <p type="main">
              <s id="id002255">
                <arrow.to.target n="marg442"/>
                <lb/>
              erit reſiduum quartę circuli, & ſimiliter h k
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                <figure id="id.015.01.144.1.jpg" xlink:href="015/01/144/1.jpg" number="135"/>
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              nota, quia declinatio puncti dati in eclypti
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              ca eſt n nota dies, & locus ſolis ex ſuppoſi­
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              to ergo nota fh
                <expan abbr="reſiduũ">reſiduum</expan>
              quartę circuli no­
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              ta eſt
                <expan abbr="etiã">etiam</expan>
              g e, quæ eſt ęqualis altitudini po­
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              li ex ſuppoſito, ergo reſiduum quadrantis
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              f g, ergo triangulus f g h notorum laterum
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              ergo notus angulus f, ergo arcus k e diſtan
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                <arrow.to.target n="marg443"/>
                <lb/>
              tia ſumpta in æquinoctij circulo puncti h,
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              cui ſimilis eſt arcus h m ex parallelo h m, nam quando k perueniet
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                <arrow.to.target n="marg444"/>
                <lb/>
              in e h perueniet in m, & in æquali tempore, qua diuiſa per quinde­
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              cim gradus, habebimus horas
                <expan abbr="diſtãtię">diſtantię</expan>
              ſolis à Meridie ante, uel poſt,
                <lb/>
              & minuta horarum dando quibuslibet gradibus quatuor minuta
                <lb/>
              horæ, & quibuslibet minutis graduum quatuor ſecunda horæ, &
                <lb/>
              ita habebimus tempus exactiſsimum à Meridie in quacunque regi­
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              one, & in quacunque hora diei.</s>
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            <p type="margin">
              <s id="id002256">
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              P
                <emph type="italics"/>
              er
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              123.
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              P
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              ropoſ.
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              </s>
            </p>
            <p type="margin">
              <s id="id002257">
                <margin.target id="marg443"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              34.
                <lb/>
                <emph type="italics"/>
              lib.
                <emph.end type="italics"/>
              4.</s>
            </p>
            <p type="margin">
              <s id="id002258">
                <margin.target id="marg444"/>
              D
                <emph type="italics"/>
              e
                <emph.end type="italics"/>
              T
                <emph type="italics"/>
              riang.
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              M
                <emph type="italics"/>
              onteregij.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id002259">Propoſitio centeſima trigeſima.</s>
            </p>
            <p type="main">
              <s id="id002260">Data regionis altitudine, & loco ſolis proportionem gnomo­
                <lb/>
              nis tam ad umbram rectam, quam uerſam, uel etiam in cylindro de­
                <lb/>
              terminare.</s>
            </p>
            <p type="main">
              <s id="id002261">Hęc eſt propoſitio illa pulcherrima, quam tot ambagibus tradi­
                <lb/>
                <arrow.to.target n="marg445"/>
                <lb/>
              dere antiqui cum ſuis analematibus, & ſcioteris, nec tamen demon
                <lb/>
              ſtrationem, nec rationem exactam inſtrumenorum conſtructio­
                <lb/>
              nem, qua poſſemus per umbras rectas uerſas, & cylindricas ſcire ad
                <lb/>
              unguem, qualis hora, & minutum, & ſecundum diei eſſet quocun­
                <lb/>
              que anni tempore. </s>
              <s id="id002262">Plerique autem tam laborioſè id conati ſunt de­
                <lb/>
              monſtrare, ut ſtudioſos deterruerint ab opere: res autem ipſa facil­
                <lb/>
              lima eſt. </s>
              <s id="id002263">Propoſita ergo Poli exacta altitudine ſolis in Meridie
                <lb/>
              declinatione addita uel detracta, habebis reſiduum eius ad qua­
                <lb/>
              drantem f g, & ſimiliter habebis ex declinatione nota loci ſolis de­
                <lb/>
              tracta à quadrante f h & iuxta horam tuam, & minutum multi­
                <lb/>
                <arrow.to.target n="marg446"/>
                <lb/>
              plicatum per quindecim arcum k e quare angulum f, ex quo arcum
                <lb/>
              g h, quare reſiduum h l, igitur punctum umbrę rectę, uel uerſę ipſi­
                <lb/>
              us gnomonis ad unguem, & ita conſtitues horologium exactiſsi­
                <lb/>
              mum ſecundum ea, quæ dixi in Corrolarijs ſupradictis, & quia ho­
                <lb/>
                <arrow.to.target n="marg447"/>
                <lb/>
              rizon a b c d ſecat æquinoctialem in
                <expan abbr="cẽtro">centro</expan>
              terræ ducta g h k, erunt
                <lb/>
              anguli b h g, & k h l ęquales. </s>
              <s id="id002264">Igitur poſito g ortu puncti eclypti­
                <lb/>
              cæ, erit g b ortus amplitudo nota, & ideò angulus b h g, & k h l </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>