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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cuntur, antequam æquinoctiali lineæ occurrant, vt in ſcholio propoſ. </
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iuſmodi ſunt ſolum illæ horæ, quæ in ſemicirculo t N u, reperiuntur, vt patet. </
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<
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horis, cuiuſmodi in noſtro exemplo ſunt 9. </
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cta in tropico ♋, hoc modo. </
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<
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M a N b, (habentur autem horæ oppoſitæ ex additione horarum 12. </
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24. </
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<
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ex 9. </
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24. </
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<
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">c.) </
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<
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">ducemus per centrum E, rectas ſecantes æquinoctialem lineam in punctis,
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per quæ ſi ex H, ducantur rectæ, ſecabitur quidem tropicus ♋, in punctis, quæ horis illis oppoſitis
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reſpondent, vt demonſtratum eſt: </
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picus ♋, in punctis, quæ illis aliis horis reſpondent, quæ in ſemicirculo t N u, non continentur, & </
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quarum oppoſitæ acceptæ ſunt. </
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23. </
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">ducta recta per centrum E, ſecat æquinoctialem lineam in n: </
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picum ♋, in q, puncto horæ 11. </
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<
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">producta denique recta n H, vltra centrum ſecat tropicum ♋, in
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puncto p, quod dico horæ 23. </
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& </
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">per horam vndecimam tropici ♋, ſecat, per propoſ. </
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adeo & </
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">Aequatorem, ſiue circulum M a N b, bifariam, tranſibit omnino per horam 23. </
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gro ſemicirculo, hoc eſt, horis 12. </
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<
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horam vndecimam, & </
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<
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xml:space
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ximi per polos mundi, & </
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<
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munis ſectio eſt eiuſdem circuli maximi & </
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horologii occurrit in punctis n, & </
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<
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<
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">hac tamen lege, vt portio H n, æquinoctialem lineam ſecans
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referat ſemicirculum illius circuli maximi per horam vndecimam in tropico ♋, tranſeuntem, cu-
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ius videlicet ſectio m E, per centrum E, ducitur, antequam lineæ æquinoctiali occurrat, vt in ſcho
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lio propoſ. </
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<
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">Ex quo fit, vt reliqua portio H p, vltra centrum horolo-
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gii producta, & </
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<
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">æquinoctialem lineam non ſecans, referat alterum ſemicirculum per ho-
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ram 23. </
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<
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quæ æquinoctialem lineam ſecat, indicare horam vnius ſemicirculi, portionem verò eius vltra cẽ-
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trum productam, quæ lineam æquinoctialem non ſecat, monſtrare horam alterius ſemicirculi op-
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poſiti; </
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<
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">ita vt duæ illæ horæ integro ſemicirculo, ſeu 12. </
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<
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hic contingit. </
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<
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beatur. </
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<
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22. </
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<
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</
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<
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">EODEM modo, ſi circulum ex E, deſcriptum ſecemus in duas portiones, quarum d N e, ſi-
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milis ſit arcui diurno tropici ♑, & </
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<
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">d M e, nocturno eiuſdem, (quod facile fiet, ſi arcubus M a, Mb,
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æquales arcus ſumamus N d, N e, rectamq́; </
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