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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dum in figura radiorum Zodiaci propoſ. </
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<
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<
s
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xml:space
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">huius libri radii ſignorum ad dextram radii
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Æqua-
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toris pertinent ad ſigna auſtralia infra æquinoctialem lineam deſcribenda, & </
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<
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xml:space
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">radii ad ſiniſtram ad
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ſigna borealia ſupra lineam æquinoctialem deſcribenda, ita etiam hic radii parallelorum Hori-
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zontis ex A, emiſſi ad dextram rectæ A B, quæ eſt inſtar noui cuiuſdam radii Æquatoris, vt dictum
<
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eſt, pertineant ad parallelos Horizontis infra lineam horizontalem, quæ eſt velut noua quædam
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linea æquinoctialis, deſcribendos, tanquam ſigna auſtralia: </
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<
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xml:space
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">radii verò educti ad ſiniſtram rectæ
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A B, pertineant ad parallelos Horizontis ſupra lineam horizontalem horologii deſcribendos, tan-
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quam ſigna borealia. </
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<
s
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xml:space
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">Vnde cum portio horologii ſupra lineam horizonralem æqualis ſit inferio-
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ri horolog@o, rectè transferuntur in eam radii parallelorum Horizontis ex A, educti ad ſiniſtram
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partem rectæ A B, &</
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<
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xml:space
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">c. </
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<
s
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xml:space
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">quæ omnia in figura præcedentis propoſ. </
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<
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xml:space
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">apparent.</
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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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">SED facilius deſcribentur in inferiori horologio ſupra lineam horizontalem paralleli Ho
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ri-
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xml:space
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">Parælleli Hori-
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zoncis ſupra li-
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neam horizon-
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@alem deſcribũ
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t
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ur ex eorũ op-
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po
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ſitis inſca ho
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@iz@ntalem li-
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neã @eſcr@p@is.</
note
>
zontis ex eorum oppoſitis in ſuperiori horologio deſcriptis, ſi ſecundum doctrinam, quam prope
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finem propoſ. </
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<
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xml:space
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<
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xml:space
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">huius lib tradidimus, reperiamus prius diametros tranſuerſas oppoſitarũ ſectio-
<
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num, earumq́ue centra, &</
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<
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">c. </
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<
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xml:space
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">In poſteriori figura diametri tranſuerſæ ſunt portiones rectæ D E, in-
<
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terceptę inter radios parallelorum Horizontis oppoſitorum ex A, eductos, æqualiterq́ue à recta
<
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A B, diſtantes. </
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<
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xml:space
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">Parallelos igitur Horizontis in eodem polari horologio deſignauimus. </
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<
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xml:space
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">Quod
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erat faciendum.</
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</
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<
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xml:space
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">PROBLEMA 42. PROPOSITIO 42.</
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<
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<
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xml:space
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">MERIDIANOS, hoc eſt, circulos longitudinum ciuitatum in
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eodem polari horologio deſcribere.</
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</
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<
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<
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xml:space
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">DESCRIBENTVR circuli Meridiani in horologio polari, non ſecus ac horæ à meri-
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die, vel media nocte, quemadmodum & </
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<
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<
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<
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xml:space
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">huius libri tradidimus, dummodo circulus
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F G H I, cuius beneficio lineas horarias duximus, diuiſionis principium habeat à Meridiano in-
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<
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ſularum Fortunatarum, qui habetur, ſi loci longitudo numeretur à Meridiano loci, nempe à pun
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cto F, verſus G, partes occidentales, vt res ipſa exigit. </
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<
s
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xml:space
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">Id quod facile intelligi poteſt, ſi circulus
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F G H I, concipiatur circumuolui circa lineam æquinoctialem, vſque dum cum Aequatore con-
<
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iunctus ſit, &</
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<
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<
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</
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<
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<
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xml:space
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">PRO Meridianis autem inferioris horologii, numeranda eſt longitudo loci à puncto H, ver-
<
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ſus G, vt Meridianus inſularum Fortunatarum reperiatur. </
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<
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xml:space
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">Nam ſi horologium inferius poſitum
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intelligatur in proprio ſitu, ita vt linea horizontalis ſupremum teneat locum, & </
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<
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">circulus F G H I,
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circa æquinoctialem lineam moueatur, donec cum Aequatore ſit coniunctus, & </
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<
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xml:space
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">centrum E, cum
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centro mundi; </
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<
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xml:space
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">ſecabit Meridianus loci circulum dictum ſupra Horizontem in puncto H, infra
<
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verò in F. </
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<
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xml:space
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">Itaque ab H, verſus G, ſunt partes occidentales, orientales verò verſus I. </
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<
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xml:space
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">Reliqua fiant
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vt prius. </
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<
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xml:space
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">In exemplo vides Meridianos grad. </
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<
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<
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<
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<
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<
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xml:space
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">ex altera in ho-
<
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<
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">Meridiani vi-
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@ra lineã hori-
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z@alẽ productę
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efficiunt hot
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o-
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logiũ inferius
<
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cum Merid@a-
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nis.</
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rologio inferiori, quod nobis præbet portio à linea horizontali abſciſla.</
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<
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</
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<
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<
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">EOSDEM tamen Meridianos inferioris horologii facilius obtinebimus, ſi horologii ſupe-
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rioris Meridianos vltra lineam horizontalem producamus, eiſdemq́ue aſcribamus numeros, qui
<
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componuntur ex additione grad. </
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<
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<
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