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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cum B D, angulos angulo B D E, hoc eſt, cõplemento altitudinis poli ęquales conſtituent. </
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<
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ſtra hac figura ijdem ſunt, qui in figura Andreę Schoneri. </
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<
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xml:space
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">Satis autẽ eſt, ſi recta E O, æqualis ſumatur ipſi
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D P. </
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<
s
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xml:space
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">Nam puncta inuenta in recta P C, translata in rectam P A, initio ſemper facto a puncto P, dabunt
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etiam puncta in recta P A, per quæ lineę declinationum ducendę ſunt; </
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<
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xml:space
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">propterea quòd dictæ parallelæ ais
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ferunt ex P A, ſegmenta æqualia reſpondentibus ſegmentis rectæ P C: </
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<
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">nempe rectam P I, æqualem re-
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ctæ P K, & </
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xml:space
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">Quoniam enim in triangulis I L P, K G P, anguli alterni L, G, inter parallelas I L, G K,
<
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æquales ſunt, & </
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xml:space
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">(Nam recta ducta M E,
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ſecabitur in N, bifariam, propter æquales arcus A M, A E: </
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<
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">quod eadem demonſtratione probari po-
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teſt, qua vſi ſumus in propoſ. </
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<
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<
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">ad oſtendendum, rectam M N, in Analemmate bifariam ſecari
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in O. </
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<
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">Cum ergo in parallelogrammis P M, P E, latera P L, P G, oppoſitis lateribus N M, N E, ęqua
<
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lia ſint, æquales erunt etiam rectæ P L, P G.) </
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<
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xml:space
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">erunt quoque latera P I, P K, inter ſe æqualia.</
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CTIALIS LINEAE, LINEAE XXIIII. </
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</
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<
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xml:space
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">vt intelligeremus, quænam horæ ab ortu uel occaſu, & </
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<
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">à meridie vel media nocte ſe mutuo ſecent in vno
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diurnorum, &
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nocturnorum,
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ex quibus co-
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guoſcitur, quæ-
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n@ horæ à mer.
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uel med noc. &
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ab or uel occ ſe
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mu uo interſe-
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@ent in propo-
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ſito arcu diur-
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no, aut noctur-
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@@.</
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eodem{q́ue} puncto illarum linearũ, ita hic proponemus octo alias tabulas arcuũ diurnorum, & </
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vt ſciamus, quænam horæ ab ortu vel occaſu, et à meridic vel media nocte ſe mutuo ſecent in vno eodem{q́ue}
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puncto illorum ar cuum in quouis horologio deſcriptorum. </
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<
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nem tam horarum ab ortu, & </
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<
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barum tabularũ ex arcubus diurnis, nocturniſq́, depromitur, vt ex ijs, quę mox dicemus, colligi poteſt. </
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hiſce. </
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<
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<
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ni, vel nocturni, quitabulę, in qua deſcriptæ ſunt, præponitur; </
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<
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">ita vt in quibus punctis horę aſtronomicæ,
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ſiue a mer. </
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<
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<
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<
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">arcum diurnum, nocturnumue cuiuſuis tabulæ ſecant, in ijſdem omnino eundẽ ſe-
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cent horę ab ortu, vel occaſu, quę illis horis aſtronomicis, ſiue a mer. </
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<
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vel ſiniſtram. </
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<
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& </
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<
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">ab ortu, vel occaſu Sol oriatur in propoſito arcu diurno, aut in nocturno occidat. </
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paucis aperiam, quo artificio ex ar cubus diurnis, nocturniſq́, huiuſmodi tabulæ ſint compoſitæ.) </
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<
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nente horas 10. </
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aliæ quinqu
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e ad occaſum Solis vſque; </
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