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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tis conſtructum ſit, vt in antecedenti ſcholio docuimus; </
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<
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xml:space
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">ſi tamen in alio illo Analemmate ex dia-
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xml:space
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">Quo pacto dia-
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metri conicorũ
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ſectionũ in quo
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uis Analemma
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te reperiantur.</
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metro Horizontis abſcindatur vtrinque à centro recta æqualis gnomoni D G, producta ipſa dia-
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metro Horizontis, ſi longitudo gno-
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monis id poſtulet, & </
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<
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te per extremum punctum recta duca
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tur parallela diametro Verticalis, per
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quam planum horologii ducitur. </
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<
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enim recta in maiori, vel minori Ana
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lemmate à diametris ſignorum oppo
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ſitorum diuidetur in partes æquales
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<
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partibus rectæ Q R, in noſtro hoc A-
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nalemmate. </
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<
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poteſt. </
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<
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">Quoniam tam illa recta, quàm
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hæc Q R, æqualiter à centro ſui Ana-
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lemmatis diſtat, & </
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<
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">anguli, quos dia-
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metri oppoſitorum ſignorum faciunt
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cum diametro Aequatoris, in quoli-
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bet Analemmate eiuſdem magnitudi
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nis ſunt, cum ſemper eiſdem declina-
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tionibus eorundem ſignorum inſiſtãt
<
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<
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ad centra; </
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<
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">efficitur, vt & </
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<
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">anguli, quos
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eædem diametri cum diametro Hori
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zontis faciunt, (qui quidem vel com-
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ponuntur ex illis, & </
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<
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">ex angulo cõple-
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menti altitudinis poli contento ſub diametro Æquatoris, & </
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<
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xml:space
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">diametro Horizontis, vel relinquun
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tur poſt detractionem illorum ex eodem angulo complementi altitudinis poli) æquales inter ſe
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<
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xlink:label
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ſint, cum & </
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<
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">anguli contenti ſub diametro Horizontis, & </
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<
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">diametro Æquatoris æquales ſint. </
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<
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re cum anguli, quos rectæ per extremitatem gnomonis (nempe per punctum G, in noſtro Analem
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mate, & </
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<
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xml:space
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">per punctum huic reſpondens in alio Analemmate) ductæ diametro Verticalis æquidi-
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ſtantes cum diametro Horizontis faciunt, recti ſint, & </
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<
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">anguli, quos in vtroque Analemmate ra-
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<
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dius cuiusuis ſigni cum eadem diametro Horizontis conſtituit, æquales quoque, vt diximus; </
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<
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perientur ſemper bina triangula in vtroque Analemmate, nempe vnum in vno, & </
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<
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">alterum in al-
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tero, habentia binos angulos æquales, vtrumque vtrique. </
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<
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<
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">latus habeant æquale,
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quod dictis angulis adiacet, nempe magnitudinem ſtyli; </
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<
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xml:space
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">habebunt quoque reliqua latera æqua-
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lia, nimirum illa, quæ inter extremitatem ſtyli, & </
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<
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">radium cuiuſque ſigni in vtroque Analemma-
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">26. primi.</
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te interijciuntur, &</
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<
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">Quod etiam inde patere poteſt; </
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<
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">quòd ſi Analemma illud maius aut minus
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ſuperponi intelligatur huic noſtro, ita vt centra, & </
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<
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">diametri Horizontis, Verticalis, atque Æqua-
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toris inter ſe congruant, recta per extremitatem ſtyli in illo ducta congruat rectæ Q R, in noſtro
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Analemmate, propter æqualitatem gnomonum, & </
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<
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">angulorum rectorum, quos gnomones cum
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dictis rectis conſtituunt. </
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<
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<
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">diametri Eclipticæ oppoſita ſigna connectentes inter ſe
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<
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congruant, (quod eoſdem angulos in vtroque Analemmate cum diametro Æquatoris efficiant,
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propter eaſdem declinationes in vtroque, vt ex conſtructione Analemmatis conſtat) liquido con-
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ſtat, rectas inter extremitatem ſtyli G, & </
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<
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">radios ſignorum in noſtro Analemmate æquales eſſe eiſ-
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dem rectis in alio Analemmate; </
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<
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<
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">ITAQVE ſi in lineam meridianam horologii deſcripti, ſiue ex centro H, ſiue ex puncto I,
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vbi Æquatoris planum plano horologii occurrit, transferantur puncta G, K, L, M, I, P, O, N, eo
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ordine, quo in figura poſita ſunt, accepta beneficio circini ex puncto, vbi in Analemmate axis mun
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di, vel diameter Aequatoris rectam, quæ per extremitatem gnomonis ducta eſt diametro Vertica-
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lis æquidiſtans, interſecat; </
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<
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">erit G, locus ſtyli D G; </
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<
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">reliqua verò puncta erunt illa, in quæ vmbra ſty-
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li proiicitur, Sole exiſtente in Meridiano circulo, & </
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<
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">initiis ſignorum, & </
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<
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<
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cæ ſectiones ſignorum, quæ ſunt vel circuli, vel parabolæ, vel hyperbolæ, vel Ellipſes, vt in præce-
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denti lib. </
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<
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">Si igitur per I, ad meridianam lineam linea perpendicularis duca-
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tur, erit hæc æquinoctialis linea: </
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<
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">Si vero circa diametros K R, L R, M R, N Q, O Q, P Q, de-
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ſcribantur ex propoſ. </
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re, vel etiam in tabella quadam exili & </
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">plana, vel certè in chartis conglutinatis, excindanturq́ue
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vt fiant quædam quaſi regulæ curuæ, per quas eædem ſectiones in horologio deſcribantur, ita vt
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per puncta K, L, M, N, O, P, tranſeant, & </
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<
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">axes earum lineæ meridianæ cõgruant, deſcripti erunt
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paralleli ſignorum Zodiaci. </
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<
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">Satis eſt autem, ſi deſcribantur ſectiones conicæ ſignorum Borealiũ,
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vel Auſtralium, quando Verticalis omnes parallelos ſecat; </
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<
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rum oppoſitorum. </
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<
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">Vnde eiſdem regulis, quas hunc in finem excindi iuſſimus, facile in oppoſita
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parte horologii (Appello nunc partes horologii oppoſitas illas, quas linea æquinoctialis </
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