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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meridianæ H I, deſcripti erunt circuli Verticales. </
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<
s
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xml:space
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">Facile autem ducentur hæ lineæ æquidiſtantes,
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ſi per quodcunque punctum lineæ meridianæ, vt per B, horizontali lineæ parallela agatur, & </
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<
s
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nia puncta lineæ horizontalis beneficio circini ex G, ſumpta transferantur in dictam parallelam
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ex puncto B. </
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<
s
xml:id
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xml:space
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">Nam rectæ connectentes bina puncta æqualiter à G, & </
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<
s
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xml:space
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">B, remota ipſi G B, pa-
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rallelæ erunt.</
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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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number
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<
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0243-01
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<
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xml:space
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">Demonſtratio
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deſcription is
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Verticalium c
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it
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culorum.</
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huiuſmodi parallelæ
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ſint in plano Vertica
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lis horologii circuli
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Verticales, ſeu potius
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<
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communes ſectiones
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Verticalium circulo-
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rum, & </
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<
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logii Verticalis, hac
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ratione demonſtrabi
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mus. </
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<
s
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xml:space
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">Intelligatur pla
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num circuli ex A, de-
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ſcripti circa horizon
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talem lineam circum
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uerti, donec centrum
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<
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A, coniungatur cum
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D, vertice ſtyli, ita vt
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idem ſit, quod pla-
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num Horizontis per
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lineam horizontalẽ,
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& </
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<
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xml:space
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">gnomonem G D,
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tranſeuntis. </
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<
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xml:space
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">Quoniã
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igitur communes ſe-
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ctiones Horizontis ac circulorum Verticaliũ per polos Horizontis incedentium diuidunt Hori-
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zontem, atque adeo & </
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<
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">circulum ex A, deſcriptum, (cum in tali poſitione idem centrum habeant
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Horizon, & </
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<
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">circulus dictus) in partes æquales; </
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<
s
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xml:space
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">erunt rectæ ex A, per puncta diuiſionum tranſeun
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tes, communes ſectiones Verticalium, & </
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">Horizontis. </
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horologii in punctis, in quibus dictæ ſectiones communes lineæ horizontali occurrunt. </
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<
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verò, ex propoſ. </
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<
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<
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">ſuperioris lib. </
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">communes ſectiones Verticalium circulorum, & </
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<
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">plani horolo-
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gii Verticalis parallelæ ſunt, quòd planum horologij Verticalis æquidiſtet communi illorum ſe-
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ctioni, nempe axi Horizontis per verticem, eiusq́ue oppoſitum ducto; </
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<
s
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xml:space
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">manifeſtum eſt, rectas il-
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las, quæ meridianæ lineæ (quę vna eſt ex Verticalibus lineis) parallelæ ſunt, eſſe communes ſectio-
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nes circulorum Verticalium, & </
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<
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">plani horologii. </
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<
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">Verticalis autem propriè dictus proiici non po-
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teſt in planum horologii, cum ei æquidiſtet, atque adeò nullam in eo ſectionem faciat. </
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<
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">Circulos
<
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<
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ergo Verticales in eodem Verticali horologio deſcripſimus. </
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<
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">Quod erat faciendum.</
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<
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<
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">PERSPICVVM autem eſt, hos circulos Verticales, auſtrales eſſe in horologio, quod ad meri-
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culi in auſtrali
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horologio om-
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nes ſunt auſtra
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les, & boreal@s
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in boreali.</
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diem ſpectat; </
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<
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">In eo verò, quod ad Bore@m, Septentrionales. </
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<
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">In vtroque porrò numerus graduum ter-
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minatur in linea meridiana; </
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<
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">eadem{q́ue} vtrobique eſt deſcriptio. </
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<
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">Vnde & </
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<
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">hic linea horizontalis abſcindet
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portionem, quæ ponenda erit in facie boreali, ita tamen vt horizont alis linea in ſuperiori loco collocetur,
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vt in ſcholio propoſ. </
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<
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<
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xml:space
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in ſiniſtram, & </
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<
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<
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">quia ij dem numeri ſunt in vtraque parte, & </
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<
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">eundem ſitum habent lineę Verti-
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cales ad vtraſque partes meridianæ lineæ, vt conſtat.</
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<
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deſcribere.</
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<
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">DESCRIBATVR Analemmatis Meridianus A B C D, in quo Horizontis diameter B D;
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rallelorum Ho
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rizontis, ſiue Al
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mucatarath, in
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eodem Verti@@
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li horologio.</
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diameter Verticalis A C. </
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<
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">Diuiſo autem vtroque quadrante A B, A D, in 90 partes æquales, vt ſin
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gulæ partes ſingulos complectantur gradus, vel in pauciores; </
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<
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">pro magnitudine horologii, (Nos
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vtrumque partiti ſumus in fex, vt ſingulæ partes reſpondeant 15. </
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<
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">gradibus) iungantur bina puncta
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æqualiter à recta B D, diſtantia lineis rectis, quæ communes ſectiones erunt Meridiani, & </
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