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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rallelę, ſingulę ſingulis; </
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<
s
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xml:space
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">propterea quòd anguli H D A, D H I, æquales ſunt duobus rectis. </
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<
s
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xml:space
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per conſtructionem angulus H D I, rectus, & </
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<
s
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xml:space
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">D H I, angulus altitudinis poli, atque A D I, (qui ex
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ſcholio propoſ. </
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<
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<
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<
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">angulus eſt complementi altitudinis poli) ſimul etiam æquales
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vni recto, &</
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<
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xml:space
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<
s
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xml:space
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">Itaque parallelos arcuum diurnorum in eodem horologio horizontali deſcripſi-
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mus. </
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<
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<
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<
s
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xml:space
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">HIC quoque parallelis arcuum diurnorum apponi poſſunt magnitudines dierum, & </
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<
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dũ ſit arcubus
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diurnis in horo
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logio deſcriptis.</
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& </
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<
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xml:space
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">alia huiuſmodi, vt dies menſium reſpondentes illis parallelis, & </
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<
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<
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xml:space
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">EST autem horum parallelorum vſus, vt per eos diſcamus, quotnam horas quilibet dies anni conti-
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<
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xml:space
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">Vſus arcuum
<
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diurnorũ in ho
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rologio deſcri-
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ptorum, quibus
<
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cognoſcimus,
<
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quot horas com
<
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plectatur quili-
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bet dies propo-
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fit@@.</
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neat. </
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<
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xml:space
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">Nam quando vmbra gnomonis cadit præcisè in arcum aliquem diurnum, comprehendet dies tunc
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præcisè tothoras, quot illi arcui ſunt aſcriptæ. </
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<
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xml:space
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">Si autem vmbra ſtyli non præcisè in aliquem arcum ca-
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dat, ſed in ſpatium inter duos arcus comprehenſum, iudicabimus plus minus, quot horarum tunc dies exi-
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ſtat, habita ratione diſtantiæ vmbræ à propinquiore arcu, dummodo in memoriam reuocemus, dies à duo-
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decimo Iunij vſque ad duodecimum Decembris decreſcere hac tempeſtate; </
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<
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">at verò eoſdem augeri à duo-
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decimo Decembris vſque ad duodecimum Iunij. </
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<
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">Vnde ſi, verbi gratia, vmbra cadat in medium ſpatium
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inter arcus horarum 13. </
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">& </
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<
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">14. </
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<
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xml:space
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">ſi quidem hoc fiat eo anni tempore, quod inter duodecimum diem Iunij,
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& </
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<
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xml:space
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">duodecimum diẽ Decembris interijcitur, continebit tunc dies horas ferè 13 {1/2}. </
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<
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xml:space
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">quia tunc Sol mouetur
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proprio motu ab arcu diurno horarum 14. </
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<
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">ad arcũ diurnum horarum 13. </
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<
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">cum tunc dies deereſcant. </
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<
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rò idem accidat in reliquo anni tempore, erit rurſus dies horarum quaſi 13 {1/2}. </
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<
s
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xml:space
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">quia tunc dies incrementũ
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ſumunt, at que adeo Sol proprio motu ab arcu diurno horarum 13. </
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<
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<
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tur. </
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<
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<
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">PROBLEMA. 4. PROPOSITIO 4.</
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<
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<
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">CIRCVLOS Verticales, quos Azimuth dicunt, in eodem hori-
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zontali horologio deſcribere.</
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<
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<
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<
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<
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">DVCATVR per G, locum gnomonis in horologio recta A B, ad lineam meridianam H I,
<
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xml:space
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culorum Verti-
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calium in eodẽ
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horologio hori-
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zontali.</
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perpendicularis. </
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<
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xml:space
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">Deinde ex G, circulus quicunque deſcriptus diuidatur in partes 360. </
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<
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">æquales,
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initio facto à recta A B. </
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<
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xml:space
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">(Nos ob loci anguſtias eum diſtribuimus tantum in 24. </
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<
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<
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number
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xlink:href
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<
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tineat gradus 15.) </
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<
s
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xml:space
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">Si enim ex centro G, per diuiſionum puncta rectę educantur, quę tamen intra
<
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tropicos contineantur, vt in figura apparet, cum lineamenta extra ipſos ſuperuacanea ſint; </
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<
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pti erunt circuli Verticales, ſiue Azimuth, hoc eſt, communes ſectiones circulorum Verticalium,
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& </
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<
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<
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">in quas quidem vmbra gnomonis, ex propoſ. </
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<
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<
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">ſuperioris lib. </
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<
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">proiicitur, So-
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le in dictis circulis exiſtente. </
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<
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">Quod facile hoc modo demonſtrabitur.</
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<
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</
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<
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<
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">QVONIAM tam planum Verticalis propriè dicti, quod per G, tranſit, (Eſt enim gnomon
<
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<
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deſcriptionis
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Ver@calium.</
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horologij horizontalis pars ſectionis communis Meridiani, & </
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<
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