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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LIBER SECVNDVS.
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b N, ſimilem eſſe, quòd hic ſimilis ſit arcui ſemidiurno tropici ♋. </
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<
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<
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ximum punctum diuiſionis verſus N, ſimilis eſt etiam arcui tropici ♋, inter duos maximos circu
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los, qui per polos ducuntur, interiecto, quorum vnus per horam 24. </
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<
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xml:space
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ctum b, alter autem per horam 23. </
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<
s
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xml:space
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">aboccaſu in tropico ♋, ducitur, quòd vterque arcus ſit pars
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<
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24. </
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<
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<
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xml:space
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">tranſibit quoque per proximum punctum diuiſionis, à puncto b, verſus N, proce-
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dendo, circulus maximus per polos mundi, & </
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<
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<
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<
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hac ratione rectæ ex centro E, ductæ per b, & </
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<
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xml:space
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">per punctum proximum verſus N, hoc eſt, ſectiones
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factę à duobus illis circulis maximis per polos, ac per horas 24. </
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<
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xml:space
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<
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<
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xml:space
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">ab occaſu in tropico ♋, du-
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ctis, auferent ex Aequatore arcũ ſimilem arcui tropici inter horas 24. </
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<
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xml:space
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">& </
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<
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xml:space
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<
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xml:space
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</
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<
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<
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<
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<
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<
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xml:space
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">quod alioquin non contingeret, Si enim per aliud punctum tranſiret dictus cir-
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culus, eſſet arcus circuli M a N b, inter b, & </
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<
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xml:id
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xml:space
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">illud punctum, maior vel minor quàm vigeſimaquar
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ta pars; </
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<
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xml:space
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">ac proinde & </
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<
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xml:space
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">arcus Aequatoris huic ſimilis, (vt conſtat ex demonſtratis à nobis ad finem
<
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cap. </
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<
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xml:space
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">1. </
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<
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xml:space
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<
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xml:space
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">atque adeo non ſimilis prædi
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cto arcui ttopici ♋. </
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<
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xml:space
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">Quod eſt abſurdum. </
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<
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& </
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<
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<
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">IAM verò ex circulo M a N b, ita diuiſo, inueniemus in arcu ♋, puncta horarum ab occaſu,
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hac ratione. </
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<
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<
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">centrum E, rectas lineas occultas educemus ſecantes æqui-
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noctialem lineam in punctis, per quæ ſi rectæ occultæ ducantur ex H, centro horologij, ſecabitur
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tropicus ♋, in punctis horarum ab occaſu. </
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<
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xml:space
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<
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">ab occaſu, & </
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<
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centrum E, ducta recta f E, ſecat lineam æquinoctialem in g; </
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<
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xml:space
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♋, in h, puncto, quod dico pertinere ad horam 18. </
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<
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<
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nis ſectio eſt Aequatoris, & </
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<
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<
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<
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<
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ducti; </
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<
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xml:space
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">propterea quòd, vt oſtendimus, dictus circulus maximus per punctum f, horę 18. </
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<
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<
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xml:space
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<
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circulus M a N b, in proprio ſitu ſtatuatur, ac per centrum mundi E, tranſit; </
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<
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xml:space
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<
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culus maximus plano horologii in puncto g. </
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<
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tranſit, per propoſ. </
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<
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<
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<
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dem maximi circuli, & </
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<
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<
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xml:space
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">Quare cum, Sole exiſtente in illo circulo maximo, vmbra
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ſtyli, per propoſ. </
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<
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<
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xml:space
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">eiuſdem libri ſuperioris, cadat in rectam Hg, & </
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<
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">eodem exiſtente in tropico
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♋, proijciatur, per propoſ. </
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<
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<
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xml:space
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">eiuſdem ſuperioris libri, in arcum ♋; </
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<
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horæ 18. </
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<
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<
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<
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">tropicus ♋, ſe interſecant, vmbra
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ſtyli proijciatur in punctum h, ac proinde per h, ducenda erit linea horæ 18. </
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<
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<
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</
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<
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">de cæteris ratio eſt ha benda.</
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</
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<
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<
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">VERVM hac ratione, vt vides, inueniuntur in tropico ♋, puncta illarum duntaxat horarũ,
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quæ in ſemicirculo t N u, continentur, propterea quòd communes ſectiones illorum maximorũ
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circulorum, & </
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<
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">Aequatoris, indicant in linea æquinoctiali illas horas, è quibus per centrum E, </
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