Full text: Clavius, Christoph: Christopheri Clavii Bambergensis ex Societate Iesv In Sphaeram Ioannis de Sacro Bosco commentarius

213. SCHEMA ORIZONTIS RECTI
ET OBLIQVI.

334-01

ZENITH autem capitis noſtri ſemper eſt polus Horizontis. Vn-
de ex his patet, quòd quanta eſt eleuatio poli mundi ſupra Horizontem,
tanta eſt diſtantia Zenith ab Aequinoctiali, quod ſic patet. Cum in quo-
libet die naturali uterque Colurus bis iungatur Meridiano, ſiue idem ſit
quod Meridianus, quidquid de uno probatur, & de reliquo. Sumatur igi-
tur quarta pars Coluri diſtinguentis Solſtitia, quæ eſt ab Aequinoctiali
uſque ad polum mundi: Sumatur iterum quarta pars eiuſdem Coluri, quę
eſt à Zcnith uſque ad Horizontem, cum Zenith ſi polus Horizontis. Iſtæ
duę quartę, cum ſint quartæ eiuſdem circuli, inter ſe ſunt æquales: Sed ſi
ab ęqualibus æqualia demantur, uel idem commune, reſidua ſunt ęqua-
lia. Dempto communi igitur arcu, ſcilicet, qui eſt inter Zenith, & polum
mundi, reſidua erunt æqualia, ſcilicet eleuatio poli mundi ſupra Horizon-
tem, & diſtantia Zenith ab Aequinoctiali.

213.1.

Zenith ca-
pitis eſſe po
lum Hori-
zontis.
Eleuatio
poli ſupra
Horizõtem
æqualis eſt
diſtãtiæ Ze
nith ab Ae-
quatore.

214. COMMENTARIVS.

Ex Eo quod Zenith, ſeu uertex capitis noſtri perpetuo polus eſt Hori-
zontis, ita ut à Zenith quaqua uerſus ad Horizo-
tem uſque ſit Quadrans circuli, demonſtrat hoc
loco auctor, tantam eſſe eleuationem poli ſupra
Horizontẽ, quanta eſt diſtantia Zenith ab Aequa-
tore; quod nos ſupra in Meridiano circulo, ut no-
tum, aſſumpſimus. Demonſtratio uero aucto-
ris culibet perſpicua eſſe poteſt in hac figura, in
qua circulus A B C D, ſit Colurus ſolſtitio-
rum idem, qui Meridianus, Horizon, A E C; Aequator B E I; poli mundi, G, H; Zenith
F; Quadrans ab Aequatore per Zenith uſque ad

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