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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              <s id="id004329">
                <pb pagenum="253" xlink:href="015/01/272.jpg"/>
              & ita reſpicienti ad polum umbra erit à dextra in ſiniſtram, dum o­
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              ritur & à ſiniſtra in dextram dum occidit. </s>
              <s id="id004330">Et quod dum erit in me­
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              ridie umbra uerget ad Septentrionem. </s>
              <s id="id004331">Tertiò dico, quòd in his
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              qui habitant uerſus Septentrionem à tropico cancri umbra in Me­
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              ridie, quo cunque tempore anni borealis erit. </s>
              <s id="id004332">Quarto, quòd ijſdem
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              toto dimidio anni ab æquinoctio uerno ad autumnale, umbræ o­
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              riente & occidente Sole ſunt meridianæ tranſuerſæ: & muri reſpi­
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              cientes boream illuminantur. </s>
              <s id="id004333">Sit finitor a b c d in regione boreali,
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              cuius uertex e & f polus, eleuatio poli ſupra finitorem a f, æquino­
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              ctij circulus b q d, cui parallelus borealior Solis uia per cancri ini­
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              tium, g h l m n, circulus magnus per uerticem, & interſectiones æ­
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              quinoctij, & finitoris b h e m d, Meridiei ſemicirculus ſuperior a f e
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              l q c. </s>
              <s id="id004334">Cum ergo uertex regionis ſit in e, & circulus magnus b h d
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              tranſiens per uerticem, tranſeat per centrum terræ ex diffinitione
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              circuli magni, & linea à uertice grauium habitantium ſub uertice e,
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                <figure id="id.015.01.272.1.jpg" xlink:href="015/01/272/1.jpg" number="278"/>
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              tendat ad centrum terræ ex de­
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              monſtratis ab Ariſtotele, & ſup
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              poſitis ab Aſtrologis, q̊d gra­
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              uia omnia tendunt ad centrum
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              terræ, erit quodlibet graue ſeu
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              murus ſeu homo, ſeu per ulti­
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              mam
                <expan abbr="petitionẽ">petitionem</expan>
              , ſeu per demon­</s>
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            <p type="main">
              <s id="id004335">
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              ſtrata in undecimo ab Euclide
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              murus, & homo quiuis inco­
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              la regionis in ſuperficie circuli
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              uerticalis b e d. </s>
              <s id="id004336">Igitur dum Sol
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              eſt in b uel d, umbræ
                <expan abbr="erũt">erunt</expan>
              à dex
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              tro in ſiniſtrum, uel contrario
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              modo, & ita Sol uidebitur eſſe è regione nobis: & murus faciet um
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              bram
                <expan abbr="orientalẽ">orientalem</expan>
              uel occidentalem. </s>
              <s id="id004337">Et hoc eſt primum. </s>
              <s id="id004338">Et quoniam
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              cum Sol erit in Meridie, tum erit in q, igitur erit umbra ad Septen­
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              trionem, cum e ſit loco gnomonis & murus. </s>
              <s id="id004339">Et hoc eſt ſecun dum.
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              </s>
              <s id="id004340">Tertium etiam patet, quia Sol nun quam tranſibit
                <expan abbr="punctũ">punctum</expan>
              l in Me­
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              ridie uerſus boream, ſed regio ſupponitur borealior l, igitur tempo
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              re meridiei umbra ſemper hic borealis erit. </s>
              <s id="id004341">Et quoniam b h e m d
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              ſecat parallelos, qui ſunt in Septentrione ut puta tropicum in h
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              & m, igitur oriente Sole, & occidente rurſus per totum arcum g h
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              & m n, uidebitur borealior quàm in b uel d parte arcus magni in­
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              tercepti inter arcum magnum tranſeuntem per uerticem & locum
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              Solis, ubi ſecat finitorem & puncta b, & d: & ita erunt umbræ Me­
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              ridionales toto hoc tempore, & hoc eſt </s>
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