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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bri manifeſtum eſt. </
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<
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xml:space
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">Eadem enim demõſtratio huc afferri poteſt; </
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<
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">quia eodem modo oſtendemus,
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circulum per polos mundi, & </
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<
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<
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">inæqualem in tropico ♋. </
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<
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b, cùm idem punctum in tropico ♋, ſit horæ 12. </
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<
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">inæqualis, & </
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<
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<
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<
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xml:space
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demus (cum arcus inter b, & </
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<
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">proximum punctum diuiſionis verſus N, ſimilis ſit arcui tropici ♋,
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<
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0222-01
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xlink:href
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<
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inter duos maximos circulos per polos mundi ductos interiecto, quorum vnus per horam 12. </
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<
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<
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æqualem, alter vero per horam 11. </
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<
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xml:space
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">inæqualem in tropico ♋, ducitur; </
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<
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xml:space
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">quòd vterque arcus duode-
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cima pars ſit arcus ſemidiurni tropici ♋, in ſuo circulo) circulum maximum per polos mundi, & </
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<
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horam 11. </
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<
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xml:space
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">inæqualem in tropico ♋, ductum tranſire per proximum punctum diuiſionis à b, ver-
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ſus N, & </
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<
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">ſic de cæteris. </
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<
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">Si igitur per puncta diuiſionum, & </
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<
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xml:space
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">centrum E, rectæ ducantur ſecantes
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æquinoctialem lineam in punctis, per quæ rurſus ex H, centro horologii emittantur rectæ, repe-
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rientur in tropicis ♋, & </
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<
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">♑, puncta horarum inæqualium, non ſecus ac propoſ. </
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<
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<
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">& </
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<
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<
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">huius lib.
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</
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<
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xml:id
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xml:space
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">in eiſdem puncta inuenimus horarum ab occaſu, & </
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<
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xml:space
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">ortu. </
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<
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xml:space
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">Vnde ſi reſpondentia puncta lineis re-
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ctis iungantur, deſcriptum erit horologium Antiquum. </
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<
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xml:space
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">Tranſibunt autem omnes lineæ horarum
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inæqualium per horas à meridie, vel media nocte in linea æquinoctiali, vt conſtat ex tabula 13. </
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<
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ſcholii propoſ. </
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<
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<
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">præcedentis libri. </
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<
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xml:space
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">Sed accipe huiuſce deſcriptionis vnum, aut alterum exem-
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plum. </
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<
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">Ex f, puncto horæ 3. </
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<
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">inæqualis in tropico ♑, per E, ducta recta ſecat æquinoctialem lineã
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in g; </
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<
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">recta autem ex H, per g, emiſſa ſecat tropicum ♑, in h, puncto horæ tertiæ inæqualis. </
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<
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">Rurſus
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ex puncto m, quod opponitur horæ vndecimæ inæquali in tropico ♋, recta emiſſa per E, ſecat li-
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neam æquinoctialem in n, at recta H n, ſecat tropicum ♋, in puncto p, quod ſemicirculo maximi
<
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circuli per punctum m, ducto debetur: </
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<
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xml:space
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">producta autem n H, vltra centrum ſecat eundem tropi-
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cum ♋, in q, puncto horæ vndecimæ inæqualis, & </
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<
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">c. </
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<
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">Quæ omnia ex demonſtratis propoſ. </
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<
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<
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libri perſpicua ſunt.</
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</
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<
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<
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">HIC quoque, vt in propoſ. </
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<
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<
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">huius lib. </
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<
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xml:id
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xml:space
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">reperiemus in circulo M a N b, arcum diurnum no-
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cturnumq́; </
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<
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xml:space
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">tropici ♋, vel ♑, aliter, quàm per ea, quæ in ſcholio propoſ. </
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<
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">1. </
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<
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<
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mus; </
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<
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xml:space
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">ſi nimirum à puncto N, vtrinque ſupputemus arcum ſemidiurnum tropici ♋, vſque ad a,
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<
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& </
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<
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">b, vel tropici ♑, vſque ad d, & </
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<
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">e.</
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</
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<
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<
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">IMMO etiamſi dictum circulum non diuidamus in dictos arcus, reperiemus in eo punctum
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cuiuſuis horæ inæqualis, Sole in quocunque parallelo exiſtente, hac ratione. </
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<
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cus diurnus dati paralleli per 12. </
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<
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xml:space
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">vt in numero quotiente habeamus quantitatem vnius ho-
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ræ inæqualis in dato parallelo; </
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<
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rum horarum, & </
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<
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<
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<
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">Deinde conſideretur, quantum diſter hora inæqua-
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lis propoſita à Meridiano circulo ante meridiem, ſiue poſt. </
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<
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xml:space
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">Si enim hæc diſtantia in circulo
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M a N b, numeretur à puncto N, verſus a, ſi hora data fuerit antemeridiana, aut verſus b,
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ſi pomeridiana, offendemus punctum datæ horæ inæqualis. </
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<
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pici ♋, continet horas 15. </
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<
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<
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<
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">quibus gradibus diuiſis per 12. </
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<
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dibunt grad. </
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<
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<
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<
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">50. </
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<
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">pro magnitudine vnius horæ inæqualis in tropico ♋. </
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