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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lorum, & </
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<
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<
s
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xml:space
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">Cum igitur communes hę ſectiones parallelæ ſint, ex propoſ. </
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<
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<
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rioris lib. </
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<
s
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xml:space
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">propterea quòd planum horologij æquidiſtat communi ſectioni illorum circulorum,
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0264-01
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<
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nempe axi Verticalis circuli, erunt rectæ ipſi horizontali lineæ parallelæ, ac per puncta lineæ æqui
<
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noctialis educte, communes ſectiones eirculorum domorum cæleſtium, & </
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<
s
xml:id
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echoid-s16643
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xml:space
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">plani horologij. </
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<
s
xml:id
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xml:space
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">Quod
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eſt propoſitum.</
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<
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</
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<
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<
s
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xml:space
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">SECVNDVM vero ſententiam Campani, Domus cæleſtes Verticalem circulum diuiden-
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<
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xml:space
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">Deſcriptio do-
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morum cœle-
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ſtium ſecun dũ
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Campanũ, in
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eodem Meri-
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diano horolo
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gio.</
note
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<
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tes in 12. </
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<
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xml:space
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">partes æquales delineabuntur hac ratione. </
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<
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xml:id
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xml:space
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">Per A, demittatur ad horizontalem lineam
<
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A B, perdicularis A D, quæ erit communis ſectio Verticalis circuli & </
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<
s
xml:id
="
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xml:space
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">plani horologij, vt demon-
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ſtrauimus propoſ. </
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<
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xml:space
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<
s
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">huius libri. </
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<
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xml:space
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">Deinde in linea horizontali ſum pta recta A B, ſtylo A E, æqua-
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li, deſcribatur ex B, ad quodcunque interuallum circulus, qui in 12. </
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<
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xml:space
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">partes æquales ſecetur, initio
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facto à linea horizontali, ac per centrum B, & </
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<
s
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xml:space
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">diuiſionum puncta rectæ occultæ tranſmittantur
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ſecantes rectam A D, in punctis, per quæ lineæ horizontali parallelæ actæ erunt lineæ cæleſtiũ do-
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morum. </
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>
<
s
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xml:space
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">Circumducto enim circulo ex B, deſcripto circa rectam A D, donec rectus ſit ad horolo-
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xml:space
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">Demonſtratio
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deſcriptionis
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domo@um cœle
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ſtium ſeoundũ
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Campanum.</
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gij planum, centrumque B, cum centro mundi coniungatur, ita vt recta A B, eadem ſiat, quæ linea
<
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ſtyli, & </
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<
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">circulus ipſe in plano circuli Verticalis conſtituatur; </
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<
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xml:space
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">erunt rectæ per centrum B, tranſeun
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tes, comunes ſectiones circulorum domorum cæleſtium, (ex quorum numero etiam eſt Horizon
<
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<
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per rectam A B, incedens) & </
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<
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xml:space
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<
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xml:space
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">Nam horum circulorũ, & </
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<
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xml:space
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">Verticalis ſectiones com
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munes Verticalem, & </
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<
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xml:space
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">proinde, ex demonſtratis à nobis in ſphærã, & </
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<
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">circulũ ſibi concentricum ex
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B, deſcriptum ſecant in partes 12. </
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<
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">æquales, ac per mundi centrum ducuntur. </
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<
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xml:space
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">Igitur dicti circuli
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plano horologij occurrent in punctis, in quibus rectæ ex B, emiſſæ rectam A D, ſecant; </
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<
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per eadem illa puncta rectæ AD, tranſibunt communes ſectiones eorundem circulorum, & </
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<
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xml:space
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">plani
<
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horologij. </
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<
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xml:space
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">Cum igitur communes hæ ſectiones ſint parallelæ, per propoſ. </
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<
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<
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<
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planum horologij communi ſectioni illorum circulorum, nempe axi Verticalis circuli, æquidi-
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ſtet, liquido conſtat, rectas ipſi horizontali lineæ pallalelas per puncta lineæ A D, eductas, com-
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munes eſſe ſectiones circulorum domorum cæleſtium, & </
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<
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xml:id
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">plani horologij. </
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<
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">Domos igitur cæleſtes
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in eodem horologio Meridiano deſcripſimus. </
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<
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m, lineas domorum cæleſtium ſecundum priorem modum per ea pun
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<
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xlink:label
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xlink:href
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xml:space
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">Per quas horas
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in æquinoctiali
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linea ducantur
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domus cœleſtes
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ſecundum Ioa.
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Regiom.</
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cta lineæ æquinoctialis duci, per quæ lineę horariæ à linea horizontali duabus, & </
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<
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xml:space
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ducuntur, quales ſunt in orientali horologio horæ 8. </
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<
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<
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4. </
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<
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<
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xml:space
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am quælibet domus complectitur grad. </
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<
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<
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">ſi quælibet pars duodecima circuli
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ex E, vel B, deſcripti in 30. </
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<
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xml:space
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">partes, vel pauciores æquales diuidatur, pro magnitudine horologii, cęteraq́,
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fiant, quę prius, deſcriptæ erunt lineę aliorum circulorum poſitionum per partes domorum cęleſtiũ tran-
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ſeuntium. </
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<
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">In exemplo ſingulę domus diuiſę ſunt bifariam, ita vt inter quaſcunque binas lineas cadant
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grad. </
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<
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