Clavius, Christoph
,
Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur
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GNOMONICES
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que ad meridiem. </
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<
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cunque latitudinem.</
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PROBLEMA 13. PROPOSITIO 13.</
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Hoc eſt, lineas horarum à meridie, vel media nocte in plano, quod
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Verticali circulo ęquidiſtat, deſcribere.</
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<
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<
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rologii Aſtrono
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mi@i Verticalis.</
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circulus ſit A B C, cuius centrum D; </
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ctio eiuſdem & </
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munis ſectio eiuſdem & </
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F D; </
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rectis F D, E D, ad partes D, ſumatur
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in recta B C, ſtylo horologij futuri,
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cuiuſcunque magnitudinis datus fue-
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rit, æqualis recta D G, ex vtraque par-
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te. </
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<
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H I, ſecans E D, & </
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tur per A D, duci intelligatur Vertica
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lis circulus propriè dictus, & </
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<
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planũ horologii illi Verticali æquidi-
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ſtans; </
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ad dictum Verticalẽ rectus ſit, erit ad
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eundem communis illorẽ ſectio BC,
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perpendicularis, atque adeo & </
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num horologii per H I, ductum Ver-
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ticali parallelum, ex demonſtratis à
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nobis ad propoſ. </
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perpendicularis erit. </
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<
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plano horologii linea meridiana, vel
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horæ 12. </
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ridiani, & </
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recta H I, in plano rectarum H D, I D, hoc eſt, in plano Meridiani. </
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ndec
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.</
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planum rectus, ac proinde & </
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<
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pendicularis, cuius vertex D, idem eſt, quod centrum mundi, ex propoſ. </
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gnomonis punctum G, in linea meridiana diſtans à puncto H, in quo axis mundi plano horolo-
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gii occurrit, & </
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<
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">quod centrum horologii dicitur, interuallo G H, vel à puncto I, in quo planum
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Aequatoris lineam meridianam ſecat, interuallo G I. </
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proprium ſitum habere concipiatur, vt videlicet punctum E, in boream vergat, & </
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modum & </
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tis vocauimus.</
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<
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modo. </
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transferatur recta H I, linea meridiana portionis Analemmatis, deorſum quidem à puncto H, ſi
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horologium ad meridiem ſpectans ſit deſcribendum, ſurſum autem, ſi ſeptentrionale delinean-
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dum ſit, vt ex portione Analemmatis patet. </
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dens nimirum à D, centro mundi ad partes poli Borealis E, ſecat Aequatorem F D, infra punctũ
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H, in puncto I; </
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mundi ad partes auſtrales, ſecat eundem Aequatorem ſupra punctum H, in puncto I, &</
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ex recta H E, abſcindatur I E, rectæ D I, portionis Analemmatis æqualis: </
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H E, in plano horologii perpendicularis F K. </
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dinis, quo diuiſo in partes 24. </
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<
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puncta diuiſionum, & </
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