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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LIBER OCTAVVS.
"/>
ad Horizontem, vmbraque ſtyli lateribus regulæ æquidiſtet, indicabit vmbræ extremitas altitudi-
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xlink:label
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xml:space
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">Horæ cognitio
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ex alri@ud@ne
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Sol@s quadran-
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te, vt alio inſtru
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mento inuẽta.</
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nem Solis, atque adeo ex proximis tabellis altitudinum Solis præſentem horam facile cognoſce-
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mus. </
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<
s
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xml:space
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">Quam horam deprehendemus etiam ex eiſdem tabellis, ſi quadrante, aut alio inſtrumento
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altitudinem Solis inquira m
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us.</
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<
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<
s
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xml:space
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">QVOD ſi cylindrus in plano collocetur rectus, in quo horologiũ horizontale deſcriptũ ſit,
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<
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xlink:label
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xlink:href
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xml:space
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">Deſcriptio hora
<
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rum in cylin-
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dro ex vmbra
<
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caden te in ho-
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ras horologii ho
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rizon @a@is, vel
<
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hemiſphæri@i
<
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concaui.</
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aut horologium hemiſphęricum concauũ firmatum, deſcribentur horæ in cylindro ex vmbra, vt
<
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ad finem proximi lib. </
s
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<
s
xml:id
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xml:space
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">monuimus, hac ratione. </
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<
s
xml:id
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xml:space
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">Circumducto ſtylo ad lineam cuiuſque ſigni, vel ar-
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cus diurni, circumuoluatur planum, donec vmbra ſtyli in horologio deſcripto cadat in horam
<
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illius paralleli, ad cuius lineam ſtylus cylindri eſt accommodatus, & </
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<
s
xml:id
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xml:space
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">ipſe cylindrus in plano in eo
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ſitu firmato circa eius axem vertatur, donec vmbra ſtyli æquidiſtet lineis ſignorum, aut arcuum
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xlink:label
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xml:space
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>
diutnorum, extremumq́ue vmbræ punctum notetur. </
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<
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xml:id
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xml:space
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">Per hoc enim ducenda erit hora illa in cy-
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lindro. </
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<
s
xml:id
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xml:space
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">Non aliter eiuſdem horæ puncta, & </
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<
s
xml:id
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xml:space
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">aliarum omnium in omnibus lineis ſignorum, vel ar-
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cuum diurnorum inueſtigari poterunt.</
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<
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style
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in quadrante. CAP. VI.</
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<
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<
s
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xml:space
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">NON multum differt horarum in quadrante deſcriptio ab ea, quam præcedenti cap. </
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<
s
xml:id
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xml:space
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">in cy-
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lindro, vel in plano inſtar cylindri, tradidimus, cum vtrobique horæ ex altitudinibus Solis
<
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<
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position
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xlink:label
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xlink:href
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xml:space
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">Deſcriptio ho@a
<
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rum ab occ. in
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quadrante.</
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>
ſupra Horizontem deſcribantur. </
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>
<
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xml:space
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">Sit ergo quadrans A B C, in quo horæ ab occ. </
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<
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xml:space
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">deſcribendæ
<
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<
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ſint, diuiſus in grad. </
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<
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<
s
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xml:space
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">quorum ordo à B, in C, progrediatur. </
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<
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">Deſcriptis ex A, duobus arcubus
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per puncta D, & </
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<
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xml:space
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">E, ad quamcunque diſtantiam, quorum ille, qui quadranti B C, propinquus eſt,
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tropico ♑, hic vero à quadrante
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B C, magis diſtans tropico ♋, tri-
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buatur. </
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<
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xml:space
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priorem tropico ♋, & </
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<
s
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">poſteriorẽ
<
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tropico ♑, aſcribant, (quod æque
<
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bene, atque illud, fieri poteſt, quan-
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tum ad horarum deſcriptionem)
<
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multò tamen commodius contra-
<
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<
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">30</
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rium fiet, vt nos diximus, propter
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maiorem horarum diſtinctionem.
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</
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<
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xml:space
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<
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inter arcus per D, & </
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<
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">E, deſcriptos
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bifariam, deſcribatur per punctũ
<
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diuiſionis ex A, arcus per F, tran-
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ſiens pro Aequatore; </
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<
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xml:space
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">qui duci etiã
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poſſet per punctum quodcunque
<
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inter arcus per D, & </
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<
s
xml:id
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">E, deſcriptos,
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licet rectam inter illos bifariam
<
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<
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nõ diuideret. </
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<
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diantur tres rectæ occultæ per alti-
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tudines meridianas ♑, ♈, vel ♎,
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& </
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<
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">♋, hoc eſt, per grad. </
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<
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<
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</
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<
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<
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">per grad. </
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<
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<
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xml:space
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<
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xml:id
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">per grad. </
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<
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<
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<
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Min. </
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<
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<
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xml:space
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">ſecantes arcus per D, F, E, deſcriptos in punctis D, F, E, per quæ arcus circuli deſcriptus
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D F E, erit linea meridiana. </
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<
s
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xml:space
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">Deinde ex A, educantur aliæ rectę occultæ per altitudines meridia-
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nas arcuum diurnorum horarum 9. </
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<
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<
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<
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<
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<
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<
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">15. </
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<
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">ex tabellis præcedentis cap. </
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<
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(Facilius enim horę ab occ. </
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<
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xml:space
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">& </
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>
<
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">or. </
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<
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xml:id
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xml:space
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">per arcus diurnos deſcribuntur, quàm per initia ſignorum, quẽ-
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admodum & </
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<
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xml:id
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xml:space
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">in cylindro) quæ ſecent lineam meridianam D F E, in punctis M, L, K, I, H, G,
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xlink:label
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per quæ ex A, arcus deſcribantur pro arcubus diurnis. </
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<
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xml:space
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">Quòd ſi ex A, per altitudines horarnm cu-
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iuſuis arcus diurni ex tabellis antecedentis cap. </
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<
s
xml:id
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xml:space
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">acceptas rectæ occultę emittantur, ſecabitur ar-
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cus diurnus, cuius horarum altitudines ſumptæ ſunt, in horis ab occ. </
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>
<
s
xml:id
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xml:space
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">Si igitur puncta horarum
<
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reſpondentia lineis curuis coniungãtur, (omnes autẽ horæ antemeridianæ exprimuntur per cir-
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culares lineas, pomeridianæ vero congruenter ducendæ ſunt per puncta, in quibus arcus diurni
<
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<
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ab arcubus horarum antemeridianarum ſecantur, vt hora 23. </
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<
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xml:id
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xml:space
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">per proxima puncta ipſi rectæ A B,
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& </
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<
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">22. </
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<
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">per ſequentia, &</
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<
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<
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xml:space
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">Itaque ſatis erit, ſi pro arcubus ſingulis horarum antemeridianarum
<
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terna puncta reperiantur, nempe pro arcu horæ 15. </
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<
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<
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">quod in
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recta A B, exiſtit, cum tunc Sol oriatur, alterum in Aequatore, ſeu arcu diurno horarum 12. </
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<
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xml:space
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<
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xml:id
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<
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in arcu diurno horarum 15. </
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<
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">tertium. </
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<
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xml:id
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">Item pro arcu horæ 17. </
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>
<
s
xml:id
="
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xml:space
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">vnum in arcu diurno horarum
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9. </
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<
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xml:id
="
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xml:space
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">& </
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<
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xml:id
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">alterum in arcu diurno horarum 12. </
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<
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">vel 11. </
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<
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">tertium denique in arcu diurno horarum 14.</
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