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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226206GNOMONICES num horologij Verticali æquidiſtans rectum eſt ad Meridiani planum; erit & communis ſectio
Aequatoris, ac plani horologii ad idem planum Meridiani, ideoq́;
& per defin. 3. lib. 11. Euclidis,
1119. vndec. ad lineam meridianam H I, in plano Meridiani exiſtentem, perpendicularis in puncto I, in quo
Aequator lineæ meridianæ in horologio occcurrit, vt dictum eſt.
Recta igitur F K, quæ in horo-
157[Figure 157]2210332044305540 logio per I, ad meridianam lineam H I, perpendicularis eſt ducta, communis ſectio eſt Aequato-
ris, &
plani horologii, nempe linea æquinoctialis: Circa quam ſi moueri intelligatur planum cir-
culi ex centro E, deſcripti, donec cum mundi centro D, in triangulo D H I, (quod rectum eſſe di-
6650 ximus ad planum horologii, &
in plano Meridiani exiſtere, vnà cum tota portione Analemmatis,
quamuis ſolum triangulum in horologio deſcriptum ſit) coniungatur E, centrum circuli, propte-
rea quòd rectę D I, I E, æquales ſunt, ex conſtructione, &
in illo motu circuli ex E, deſcripti recta
I E, ſem per maneat in plano Meridiani, in quo exiſtit D I, erit ipſe circulus circa D, centrum mun-
di, ſeu Aequatoris deſcriptus, &
in plano eiuſdem Aequatoris exiſtens, cùm Aequatoris planum
per rectas D I, I K, ducatur, quemadmodum &
circulus dictus in tali poſitione per eaſdem eſt du-
ctus;
ita vt circulus hic, & Aequator in eodem exiſtant plano, idemq́; habeant centrum, nimirum
D, centrum mundi.
Intelligatur quoque I E, protracta in vtramque partem in eadem poſitione,
quippe quę ſimul cum circuli plano moueatur tanquam communis ſectio Meridiani, &
Aequato
ris, cum tam Meridianus, quàm Aequator in huiuſmodi poſitione per rectam D I, vel I E, trãſeat.
Quocirca per ca, quæ propoſ. 1. huius lib. de horologio horizontali demonſtrata ſunt, erunt

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