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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lorum Horizontis, quos Almucantarath dicunt, Deinde ex punctis diuiſionum vtriuſque qua-
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drantis per centrum E, ducantur rectæ lineæ, vt fiant triangula per axem in conis, quorum baſes
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ſunt paralleli Horizontis tam infra Horizontem, quàm ſupra, vertex autem communis centrum
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mũdi E. </
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<
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xml:space
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dictos conos ſecans per eorum axem
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A C, facit, per propoſ. </
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<
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lonii, triangula per axem. </
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datur quoque ex B D, vtrinque à pun
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cto E, recta E G, gnomoni æqualis,
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& </
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<
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xml:space
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G O, cõmunis videlicet ſectio plani
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horologii, & </
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<
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triangulorum per axem in K, L, M,
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N, punctis, vt ſint diametri conica-
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rum ſectionum K O, L, M O, N O.
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</
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<
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">Si igitur puncta K, L, M, N, ſumpta
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in hoc Analemmate ex puncto G, in
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lineam meridianam vtriuſque horo-
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logii transferantur infra horizonta-
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lem lineam ex loco ſtyli G, & </
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<
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lineam meridianam dictæ conicæ ſe-
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ctiones deſcribantur, per propoſ. </
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<
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cta K, L, M, N, (quæ quidem coni-
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cæ ſectiones ſunt hyperbolæ, per pro-
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poſ. </
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<
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xml:space
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">cum Verticalis per polos parallelorum Horizontis incedens ipſos ſecet)
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ita vt earum cornua à linea horizontali ſemper magis ac magis auertantur, deſcripti erunt pa-
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ralleli Horizontis, vt in figura præcedentis propoſ. </
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<
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">cernitur.</
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parallelor@ Ho
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rizontis in Ver
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ticali horolo-
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gio.</
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in pauciores partes, pro numero parallelorum de-
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ſcribendorum, emittantur ex centro A, per puncta
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diuiſionum lineæ rectæ, quæ reſpondebunt radiis
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parallelorũ Horizontis in quadrante E B C, præce-
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dentis figuræ contentis, initio facto à recta A B, ita
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vt radius proximus rectæ A B, ſit paralleli Horizon
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tis grad. </
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<
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<
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quibus Verticales lineæ horizontalem lineam inter-
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ſecant, eaq́; </
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<
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xml:space
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">ex A, in@rectam A B, huius figuræ trans-
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ferantur, aſcriptis iuxta A B, numeris Verticalium
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linearum, ſignatisq́; </
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terminant. </
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<
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ta agantur ipſi A C, parallelæ, vel perpendiculares
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ad A B, ducantur. </
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<
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">Quod facile fiet, ſi ipſi A B, pa-
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rallela aliqua ducatur, & </
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<
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A B, transferantur, initio facto à recta A C, &</
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pli gratia, ex figura præcedentis propoſ. </
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<
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lum A K, transferatur in rectam A B, huius figuræ,
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vſque ad punctum E, apponendo numerum 30, & </
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<
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</
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<
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<
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cus altitudinum Solis. </
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<
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xml:space
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v. </
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<
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<
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<
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rizontalis linea in figura præcedentis propoſ. </
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<
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">à lineis Verticalibus ſecatur, in lineas Vertica@es cor
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reſpondentes numeris in recta A B, huius figuræ notatis, ſignando puncta in Verticalibus lineis.
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</
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<
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<
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talem lineam, quàm ſupra, & </
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dam curua, deſcriptus erit arcus, vel parallelus Horizontis gr. </
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<
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<
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">tam in auſtrali horologio, quàm
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in boreali, quod quidem abſcinditur à linea horizontali, vt oſtendimus. </
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<
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reliqui Horizontis deſcribentur, ſi rectæ inter lineam A B, & </
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<
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terceptæ in lineas Verticales horologii correſpondentes ex linea horizontali vtrinque </
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