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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331 - 360
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421 - 432
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exiguam habet declinationem à Vertícali, deſcribendum erit quoque altera ex parte portio borea-
<
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lis horologii, quam horizontalis linea abſcindit, que madmodum & </
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>
<
s
xml:id
="
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"
xml:space
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">in Verticali horologio Borea-
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le deſcriptum eſt ex vtraque parte: </
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>
<
s
xml:id
="
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"
xml:space
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preserve
">Alioquin in horologio Boreali, quod in ortum declinat, non
<
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monſtrarentur horæ, cum Sol oritur: </
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>
<
s
xml:id
="
echoid-s40254
"
xml:space
="
preserve
">neque in eo, quod in occaíum vergit, cum Sol occidit.</
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>
<
s
xml:id
="
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xml:space
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"/>
</
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>
<
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>
<
s
xml:id
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"
xml:space
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">PRIVS quoque horologium appellari poteſt Diurnum, & </
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>
<
s
xml:id
="
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"
xml:space
="
preserve
">poſterius Nocturnum, vt in Ver-
<
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<
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position
="
left
"
xlink:label
="
note-0624-01
"
xlink:href
="
note-0624-01a
"
xml:space
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">Horologium de
<
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clinans diurnũ,
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ac nocturnum.</
note
>
ticali horologio docuimus.</
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>
<
s
xml:id
="
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"
xml:space
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"/>
</
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<
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>
<
s
xml:id
="
echoid-s40259
"
xml:space
="
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">IAM verò arcus longitudinum dierum eodem prorſus modo deſcribentur, ſi pro radiis ſi-
<
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<
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position
="
left
"
xlink:label
="
note-0624-02
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xlink:href
="
note-0624-02a
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xml:space
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">Arcus longitu-
<
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dinum dierum
<
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quo pacto de-
<
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ſctibantur.</
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>
gnorum aſſumantur radii longitudinum dierum, dummodo obſeruetur, hoſce arcus in ho-
<
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/>
rologio, quod ad Boream vergit, conuerti in complementa vſque ad 24. </
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>
<
s
xml:id
="
echoid-s40260
"
xml:space
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">vt in Verticali horo-
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logio ſcripſimus cap.</
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<
s
xml:id
="
echoid-s40261
"
xml:space
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">8. </
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<
s
xml:id
="
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"
xml:space
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">In figura radiorum Zodiaci duximus radios horarum 0. </
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>
<
s
xml:id
="
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xml:space
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">6. </
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<
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xml:space
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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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<
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position
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xlink:label
="
note-0624-03
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xlink:href
="
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xml:space
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">10</
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14. </
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<
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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:space
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">24.</
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<
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="
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</
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<
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<
s
xml:id
="
echoid-s40272
"
xml:space
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">QVOD ſi ex lineamentis hactenus deſcriptis maius aut minus horologium pro data ſtyli ma-
<
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gnitudine deſcribendum ſit, efficiemus id hoc modo. </
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>
<
s
xml:id
="
echoid-s40273
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xml:space
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">Deſcribatur ſeorſum (vt prope figuram
<
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radiorum Zodiaci factum eſt) triangulum I C G, ex horologio cap. </
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>
<
s
xml:id
="
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xml:space
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">præcedentis, vel ex figura ra-
<
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diorum Zodiaei huius cap. </
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>
<
s
xml:id
="
echoid-s40275
"
xml:space
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">deſumptum, in quo I C, axis mundi eſt; </
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>
<
s
xml:id
="
echoid-s40276
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xml:space
="
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">I G, Aequator; </
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<
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xml:id
="
echoid-s40277
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xml:space
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">C G, linea
<
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ſtyli; </
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>
<
s
xml:id
="
echoid-s40278
"
xml:space
="
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">gnomon verò I K, rectos angulos faciens cum linea indicis C G. </
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>
<
s
xml:id
="
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xml:space
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">Sumendo igitur in ſtylo
<
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I K, producto rectam I A, dato gnomoni ęqualem, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">ducendo per A, rectam B D, rectæ C G, pa-
<
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rallelam, ſi axis B I, transferatur ex C, in figura radiorum Zodiaci vſque ad punctum B, verſus
<
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I, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">ex B, radii ſignorum educantur, ac reliqua omnia fiant, vt prius, deſcribentur arcus ſignorũ
<
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/>
pro magnitudine dati ſtyli I A, ſicuti antea deſcripti ſunt ad datum ſtylum I K. </
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>
<
s
xml:id
="
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xml:space
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<
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">20</
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riæ ex C, prodeuntes in figura radiorum Zodiaci, & </
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>
<
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="
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xml:space
="
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">in horologio, quod in cap. </
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>
<
s
xml:id
="
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="
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">pręcedente deſcri-
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pſimus, eędem omnino permanent in eadem altitudine poli, & </
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>
<
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xml:id
="
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xml:space
="
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">declinatione plani eadem. </
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>
<
s
xml:id
="
echoid-s40286
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xml:space
="
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">Aequi
<
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noctialis autem linea ducenda eſt ad lineam ſtyli perpendicularis, tanto interuallo à centro horo-
<
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logii diſtans, quanta eſt recta B D.</
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>
<
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</
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</
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div
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type
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<
head
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style
="
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xml:space
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">DE HOROLOGIO ITALICO, ET BABYLONICO,
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quod à Verticali circulo declinat. CAP. XXV.</
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>
<
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<
s
xml:id
="
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xml:space
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">SECETVR circulus ex L, deſcriptus, beneficio cuius in linea æquinoctiali puncta horarum
<
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<
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position
="
left
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xlink:label
="
note-0624-05
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xlink:href
="
note-0624-05a
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xml:space
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">Compoſitio ho
<
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/>
rologii Italici,
<
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ac Babyolnici à
<
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/>
Verticali decli-
<
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@anti@.</
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>
offendi mus, in arcum diurnnm tropici ♋, a N b, & </
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>
<
s
xml:id
="
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xml:space
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">arcum diurnum tropici ♑, d N e, ita vt
<
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<
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position
="
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xlink:label
="
note-0624-06
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xlink:href
="
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">30</
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>
rectę a b, d e, ſecent rectam M N, ad angulos rectos, numerenturq́ue arcus ſemidiurni ♋, & </
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>
<
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="
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">♑,
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vtrinque à puncto N, in circulo M a N b, vt integri arcus diurni habeantur, veluti cap.</
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<
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xml:id
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xml:space
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">4. </
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<
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dimus. </
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<
s
xml:id
="
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"
xml:space
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">Deinde pro horologio Italico diſtribuatur ſemel, atque iterum circulus Ma N b, in 24.
<
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</
s
>
<
s
xml:id
="
echoid-s40294
"
xml:space
="
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">partes æquales, primum facto initio à puncto a, ſecundo à puncto d, ita vt a, ſit hora 24. </
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>
<
s
xml:id
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xml:space
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">ab occ. </
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<
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xml:id
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<
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in tropico ♋, & </
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<
s
xml:id
="
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"
xml:space
="
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">proximum punctum verſus N, hora 23. </
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>
<
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xml:id
="
echoid-s40298
"
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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">c. </
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>
<
s
xml:id
="
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"
xml:space
="
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">At vero d, ſit hora 24. </
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>
<
s
xml:id
="
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"
xml:space
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">ab occ. </
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>
<
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xml:id
="
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"
xml:space
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">in
<
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tropico ♑, & </
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>
<
s
xml:id
="
echoid-s40303
"
xml:space
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">proximum punctum verſus N, hora 23. </
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>
<
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xml:id
="
echoid-s40304
"
xml:space
="
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">&</
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>
<
s
xml:id
="
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"
xml:space
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">c. </
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>
<
s
xml:id
="
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"
xml:space
="
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">Rurſus idem circulus diuidatur ſemel
<
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in 24. </
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>
<
s
xml:id
="
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"
xml:space
="
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">partes æquales, initio ſumpto à puncto b, & </
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>
<
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xml:id
="
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"
xml:space
="
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">iterum in 24. </
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>
<
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xml:id
="
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"
xml:space
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">partes æquales, initio facto à pun
<
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cto e, ita vt b, ſit 24. </
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>
<
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xml:id
="
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"
xml:space
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">hora ab or. </
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<
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xml:id
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"
xml:space
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">in tropico ♋, & </
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>
<
s
xml:id
="
echoid-s40312
"
xml:space
="
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">proximum punctum verſus N, hora 1. </
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>
<
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xml:id
="
echoid-s40313
"
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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">c. </
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<
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xml:id
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xml:space
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">pun-
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ctum vero e, hora 24. </
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>
<
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xml:id
="
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"
xml:space
="
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">♑, ab or. </
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>
<
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xml:id
="
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"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s40318
"
xml:space
="
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">proximum punctum verſus N, hora 1. </
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>
<
s
xml:id
="
echoid-s40319
"
xml:space
="
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">&</
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>
<
s
xml:id
="
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"
xml:space
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">c. </
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>
<
s
xml:id
="
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"
xml:space
="
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">Inueniemus enim
<
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per hęc puncta diuiſionũ in vtroque tropico puncta horarum ab occ. </
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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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"
xml:space
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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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">horologiumq́ue Ita-
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<
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xlink:label
="
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xlink:href
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">40</
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>
licum, & </
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>
<
s
xml:id
="
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"
xml:space
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">Babylonicum perficiemus, non aliter, atque horizontale conſtruximus cap. </
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>
<
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xml:id
="
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"
xml:space
="
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">4. </
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>
<
s
xml:id
="
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"
xml:space
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">Exempli
<
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gratia. </
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>
<
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xml:id
="
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xml:space
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">Ex f, puncto horæ 16. </
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>
<
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xml:space
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">♋. </
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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-s40331
"
xml:space
="
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">ducta recta per centrum L, ſecat ęquinoctialem lineam
<
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/>
in g, puncto, per quod ſi ex C, centro horologii recta emittatur, ſecabitur tropicus ♋, in h, puncto
<
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/>
horę 16. </
s
>
<
s
xml:id
="
echoid-s40332
"
xml:space
="
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">ab occ. </
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>
<
s
xml:id
="
echoid-s40333
"
xml:space
="
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">Sic etiam recta ex m, puncto horę 21. </
s
>
<
s
xml:id
="
echoid-s40334
"
xml:space
="
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">♑, ab occ. </
s
>
<
s
xml:id
="
echoid-s40335
"
xml:space
="
preserve
">per L, educta ſecat lineam æqui-
<
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/>
noctialem in puncton, per quod recta ducta ex C, ſecat tropicum ♑, in p, puncto horæ 21. </
s
>
<
s
xml:id
="
echoid-s40336
"
xml:space
="
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">ab
<
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occ. </
s
>
<
s
xml:id
="
echoid-s40337
"
xml:space
="
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">Pari ratione linea recta ex q, horæ 14. </
s
>
<
s
xml:id
="
echoid-s40338
"
xml:space
="
preserve
">ab occ. </
s
>
<
s
xml:id
="
echoid-s40339
"
xml:space
="
preserve
">in tropico ♑, quæ quidem in arcu nocturno
<
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/>
♑, d M e, continetur, ducta per L, ſecat lineam ęquinoctialem in r, puncto, per quod recta du-
<
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/>
cta ex C, ſecat tropicum ♑, in arcu nocturno in t, puncto horæ 14. </
s
>
<
s
xml:id
="
echoid-s40340
"
xml:space
="
preserve
">ab occ.</
s
>
<
s
xml:id
="
echoid-s40341
"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s40342
"
xml:space
="
preserve
">HAC ratione inueniemus ſolum puncta illarum horarum, quę in ſemicirculo A N B, cuius
<
lb
/>
diameter A B, ęquinoctiali lineæ ęquidiſtat, continentur: </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">propterea quòd rectę ex ipſis per L,
<
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/>
<
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="
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"
xlink:label
="
note-0624-08
"
xlink:href
="
note-0624-08a
"
xml:space
="
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">50</
note
>
ductæ tranſeunt per centrum L, priuſquam ęquinoctialem lineam ſecant. </
s
>
<
s
xml:id
="
echoid-s40344
"
xml:space
="
preserve
">Vnde aliarum hora-
<
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/>
rum puncta inueniemus, vt de horizontali horologio diximus cap. </
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>
<
s
xml:id
="
echoid-s40345
"
xml:space
="
preserve
">4. </
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>
<
s
xml:id
="
echoid-s40346
"
xml:space
="
preserve
">per horas è regione illis op-
<
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poſitas. </
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>
<
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xml:id
="
echoid-s40347
"
xml:space
="
preserve
">Vt ſi velimus reperire punctum horæ 23. </
s
>
<
s
xml:id
="
echoid-s40348
"
xml:space
="
preserve
">ab occ. </
s
>
<
s
xml:id
="
echoid-s40349
"
xml:space
="
preserve
">in tropico ♑, cui in circulo reſpon-
<
lb
/>
det punctum D, extra ſemicirculum A N B, ducemus ex E, puncto oppoſito, nempe ex hora 11.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s40350
"
xml:space
="
preserve
">ab occ. </
s
>
<
s
xml:id
="
echoid-s40351
"
xml:space
="
preserve
">in tropico ♑, in arcu nocturno ♑, comprehenſa, rectam per L, & </
s
>
<
s
xml:id
="
echoid-s40352
"
xml:space
="
preserve
">D, quæ ſecabit æquino-
<
lb
/>
ctialem lineam in puncto R, (quod quia valde remotum eſt, in exemplo non continetur) per
<
lb
/>
quod ſi ducatur recta ex C, ſecabitur tropicus ♑, in arcu nocturno in puncto F, horæ 11. </
s
>
<
s
xml:id
="
echoid-s40353
"
xml:space
="
preserve
">ab occ. </
s
>
<
s
xml:id
="
echoid-s40354
"
xml:space
="
preserve
">
<
lb
/>
producta verò recta R C, vltra centrum C, ſecabit eundem tropicum ♑, in P, puncto horæ 23. </
s
>
<
s
xml:id
="
echoid-s40355
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s40356
"
xml:space
="
preserve
">
<
lb
/>
ſic de cæteris.</
s
>
<
s
xml:id
="
echoid-s40357
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s40358
"
xml:space
="
preserve
">EODEM modo puncta horarum ab ortu Solis in vtroque tropico deprehendemus. </
s
>
<
s
xml:id
="
echoid-s40359
"
xml:space
="
preserve
">Pro ho
<
lb
/>
rologio porro Boreali nullum exemplum afferimus, quia lineæ horarum ab or. </
s
>
<
s
xml:id
="
echoid-s40360
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s40361
"
xml:space
="
preserve
">occ. </
s
>
<
s
xml:id
="
echoid-s40362
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
