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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page |< < (321) of 677 > >|
337321LIBER TERTIVS.
EX loco ſtyli K, erigatur ad horizontalem lineam linea perpendicularis K A, ſtylo I K, æqua-
11Verticaliũ cir-
culorum deſcri
ptio in eodem
horologio decli
nante à Verti-
cali.
lis, &
centro A, ad quodcunque interuallum circulus deſcriptus ſecetur in partes 360. æquales,
aut in pauciores, pro numero Verticalium, quos horologii magnitudo capere poteſt, (Nos partiti
eum ſumus in partes 24.
vt ſingula ſpatia complectantur grad. 15.) initio facto à recta, quæ ex cen
225[Figure 225]2210332044305540 tro A, per punctum B, vbi linea meridiana, &
horizontalis ſe mutuo interſecant, ducitur, vel etiam
à recta ex A, per punctum D, vbi lineam horizontalem æquinoctialis ſecat, ducta.
Deinde per cen
trum A, &
puncta diuiſionum emittantur rectæ occultæ ſecantes horizontalem lineã in punctis,
6650 quæ diligenter notanda ſunt.
Nam rectæ per hęc puncta ad lineam horizontalem perpendicula-
res ductæ, vel ipſi meridianæ lineæ parallelæ, dabunt circulos Verticales, hoc eſt, communes ſe-
ctiones plani horologij, &
circulorum Verticalium. Ducentur autem parallelæ illæ ſine magno
negotio, ſi horizontali lineæ lineam parallelam ducamus, &
in eam omnia puncta lineæ horizon-
talis beneſicio circini ex B, ſumpta transferantur, initio ſemper facto à linea meridiana:
qualis eſt
recta illa in inferiori parte horologij minutis illis lineis diſtincta.
Rectæ enim connectentes bi-
na puncta horizontalis lineæ, &
prædictæ parallelæ, æqualiter à linea meridiana diſtantia, ipſi li-
neæ meridianæ parallelæ erunt.
7733. primi.
HAS autem parallelas eſſe ſectiones communes circulorum Verticalium, & plani horolo-
gii, ita probabimus.
Intelligatur planum circuli ex A, deſcripti circa horizontalem lineam mo-
ueri, donec cum plano Horizontis coniungatur, atque adeò centrum A, cum vertice ſtyli, ſeu

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