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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<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 536
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GNOMONICES
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centrũ ducta ſecare poſſit hanc perpendicularem, vt in exemplis fac@um eſſe cernis. </
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<
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xml:space
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">Illæ porrò ſolę horę
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gnoſcatur ex cir
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cunferentiis ho
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rizõtalibus, quæ
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horæ in propo-
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ſito horologio
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deſcribi poſſint.</
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in horologio australi deſcribi poſſunt, quarum circunferentiæ horizontales talem ſitum in Horizonte ha-
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bent, vt rectæ ab earũ extremis vltra centrũ E, productę horizontalẽ lineã H K, ſecent, alię vero non.
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</
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<
s
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xml:space
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">Idem{q́ue} dicendum eſt de boreali horologio. </
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<
s
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xml:space
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">Hinc factũ eſt, vt horæ 24. </
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<
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xml:space
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<
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<
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<
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xml:id
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xml:space
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">in horeali horolo
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gio deſcriptę ſint, non autem in auſtrali: </
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<
s
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xml:space
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">Itẽ horę 24. </
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<
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<
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<
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<
s
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xml:space
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">in auſtrali, nõ autẽ in boreali, &</
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xml:space
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">c. </
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<
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Vt autem exemplum habeas alicuius lineæ horariæ, quæ punctum habeat & </
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<
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<
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xml:space
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">in tropico
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♑, inuenimus punctum g, pro hora 16. </
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>
<
s
xml:id
="
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xml:space
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">ab occ. </
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>
<
s
xml:id
="
echoid-s37759
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xml:space
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">in tropico ♋, ex circunferentia horizontali eiuſdem ho-
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re 16. </
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>
<
s
xml:id
="
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xml:space
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">Bh, quę auſtralis eſt, orientalis{q́ue}, & </
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>
<
s
xml:id
="
echoid-s37761
"
xml:space
="
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">ex deſcenſiuę circunferentiæ complemento h l. </
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>
<
s
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xml:space
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">quamuis enim
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recta l E, producta in exemplo non ſecet perpendicularem, quæ ad h m, ducta eſt, punctum tamen, vbi
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eam ſecaret, tranſtulimus in perpendicularem m g, vſque ad g. </
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>
<
s
xml:id
="
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xml:space
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">Item ex B p, circunferentia horizonta-
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">10</
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li eiuſdem horę 16. </
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<
s
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xml:space
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">♑, ab occ. </
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>
<
s
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xml:space
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">quæ etiam auſtralis eſt, oriẽtalis{q́ue}, & </
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>
<
s
xml:id
="
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xml:space
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">ex deſcenſiuæ circunferentiæ comple
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mento p q, reperim{us} punctum r, pro hora 16. </
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>
<
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xml:space
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">ab occ. </
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>
<
s
xml:id
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xml:space
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">in tropico ♑, ita vt r g, ſit linea horæ 16. </
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>
<
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="
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xml:space
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">ab
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occ. </
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<
s
xml:id
="
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xml:space
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">Poſtremo vt linea æquinoctialis ducatur, inueſtiganda erunt duo, aut tria, aut plura puncta pro dua-
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xml:space
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">Aequinoctialis
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linea quo pacto
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ducatur,</
note
>
b{us}, aut tribus, aut pluribus horis, Sole existente in Aequatore. </
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>
<
s
xml:id
="
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xml:space
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">Per ea enim ducenda erit æquinoctia-
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lis linea. </
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>
<
s
xml:id
="
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xml:space
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">Ita vides, inuentum eſſepunctum ſ, in linea r g, horę 16. </
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>
<
s
xml:id
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xml:space
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">pro hora 16. </
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>
<
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">ab occ. </
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>
<
s
xml:id
="
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xml:space
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">Sole exiſtente in
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Aequatore, ex circunferentia horizontali B t, eiuſdem horę, quæ orientalis eſt, & </
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>
<
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xml:id
="
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xml:space
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">auſtralis, & </
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>
<
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xml:id
="
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">ex comple
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mento t u, circunferentię deſcenſiuę. </
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>
<
s
xml:id
="
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"
xml:space
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">Ad rectam enim t E α, ducta eſt perpendicularis α β, quam in
<
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β, ſecat rectau E β, punctum{q́ue} β, translatum eſt in α ſ, perpendicularem ad H K; </
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>
<
s
xml:id
="
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xml:space
="
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">quod quidem pun-
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ctum ſ, neceſſario in rectam r g, cadet, ſi erratum non eſt. </
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>
<
s
xml:id
="
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xml:space
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">Hoc artificio totum horologium abſoluetur,
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quod ad hor{as}, & </
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>
<
s
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="
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">arcus ſignorum attinet. </
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<
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xml:space
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">Alia enim, quæ in horologijs lib. </
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<
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="
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">2. </
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>
<
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="
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xml:space
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">& </
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<
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xml:id
="
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xml:space
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">3. </
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>
<
s
xml:id
="
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xml:space
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">deſcripſimus, hac
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<
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">20</
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ratione delineari non poſſunt, niſi quis circunferenti{as} horizontales, deſcẽſiuas{q́ue} pro illis alijs etiam de-
<
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ſcriptionibus in horologio horizontali prius inueniret: </
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>
<
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">quod neq; </
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>
<
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xml:id
="
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xml:space
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">à Ptolemęo, neque à quouis alio factum
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eſt; </
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>
<
s
xml:id
="
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xml:space
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">propterea quòd prius inueſtigandum eſſet, quo pacto paralleli Solis à Verticalibus circulis, paralle-
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<
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xlink:label
="
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xml:space
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">Comparatio in
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ter duos modos
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quibus in hoc
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ſcholio horolo-
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gia declinantia
<
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conſtructa ſunt.</
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>
lis Horizontis, circulis domorum cęleſtium, &</
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>
<
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xml:id
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xml:space
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">c. </
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<
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">diuidantur; </
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>
<
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">quod arduũ nimis eſt, ac difficile. </
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<
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xml:id
="
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xml:space
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">Vt enim
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pro ſingulis horis huiuſmodi circunferentiæ inueſtigentur, neceſſe eſt prius noſſe, vbi horę parallelos So-
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lis interſecent, & </
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>
<
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="
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xml:space
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">quantum à meridie, vel ab ortu, occaſuve Solis abſint in propriis parallelis. </
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>
<
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xml:space
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">Etenim
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ob hanc cauſam parallelos in horas ſecare in præcedentibus docuimus. </
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>
<
s
xml:id
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xml:space
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">Quę cum ita ſint, perſpicuum eſt,
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inuentum noſtrum, quo ex horologio horizontali declinans horologium deſcribitur, multo vniuerſalius
<
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eſſe hoc artificio, quo ex circunferentiis horizontalibus, deſcenſiuis{q́ue} horologium declinans depingitur,
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cùm per illud omnia puncta horologii horizontalis, etiamſi ad hor{as} non pertineant, in horologium de-
<
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<
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clinans transferantur; </
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<
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xml:id
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xml:space
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">quod per hoc aliud artificium efficere nonlicet, propterea quòd, quaratione pro
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omnibus punctis ad hor{as} non pertinentibus circunferentię horizontales, ac deſcenſiuę inquirendę ſint,
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à nemine traditum eſt. </
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>
<
s
xml:id
="
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xml:space
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">Immo hoc etiam nomine priorem rationem à nobis explicatam anteponendam
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poſteriori cenſeo, quòd omnes line{as} horarias, vel etiam alias quaſcunque ex horologio horizontali in ho-
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rologium declinans transfert, etiamſi pro ipſis puncta, per quę paralleli ſignorum ducendi ſunt, inuenta
<
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non ſint. </
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>
<
s
xml:id
="
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xml:space
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">Vnde ibi duci poteſt linea horę 22. </
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>
<
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xml:id
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">ab occ. </
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>
<
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xml:id
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">per. </
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>
<
s
xml:id
="
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xml:space
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">punctum l, in tropico ♑, inuentum, hic au-
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tem per punctum d, eiuſdem horę inuentum in eodem tropico ♑, non poteſt, niſi prius aliud punctum
<
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eiuſdem horæ, Sole exiſtente in alio ſigno, vt in principio ♐, vel ♒, reperiatur. </
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>
<
s
xml:id
="
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xml:space
="
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">Hac tamen vnare poste-
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rior ratio priori pręſtare videtur, quòd ex circunferentiis horizontalibus, deſcenſiuis{q́ue} deſcribi poſſint
<
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in horologio declinante illę etiam horæ, quę parum ab ortu, vel occaſu Solis diſtant, puta hora 23 {1/4}.
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</
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<
s
xml:id
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">40</
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23 {1/2}. </
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<
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xml:id
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">23 {3/4}. </
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<
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xml:id
="
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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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">9 {1/4}. </
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>
<
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xml:id
="
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xml:space
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">9 {1/2}. </
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>
<
s
xml:id
="
echoid-s37809
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xml:space
="
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">& </
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>
<
s
xml:id
="
echoid-s37810
"
xml:space
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">9 {3/4}. </
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>
<
s
xml:id
="
echoid-s37811
"
xml:space
="
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">ab occ. </
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>
<
s
xml:id
="
echoid-s37812
"
xml:space
="
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">&</
s
>
<
s
xml:id
="
echoid-s37813
"
xml:space
="
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">c. </
s
>
<
s
xml:id
="
echoid-s37814
"
xml:space
="
preserve
">quod priori nostra via vix fieri poteſt, propterea quòd hu-
<
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/>
iuſmodi horæ, cum in illis vmbra gnomonis in horologio horizontali nimis longa ſit, difficile
<
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/>
admodum in horologio horizontali poſſint deſcribi: </
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>
<
s
xml:id
="
echoid-s37815
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xml:space
="
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">adeo vt ad abſolutam
<
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atque perfectam horarum deſcriptionem in horologiis
<
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declinantibus vtraque via ac ratio adbi-
<
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benda eſſe videatur.</
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>
<
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="
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</
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