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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GNOMONICES
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lo; </
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<
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xml:space
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">acproinde recta H I, communis ſectio erit Meridiani, & </
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<
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">Æquatoris, ſi triangulum D H I, ſta-
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tuatur in plano Meridiani, hoc eſt, rectum ad
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planum horologii. </
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>
<
s
xml:id
="
echoid-s28463
"
xml:space
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">Quia verò axis mundi occurrit
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Æquatori in centro mundi, erit H, centrum mundi. </
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>
<
s
xml:id
="
echoid-s28464
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xml:space
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">Quare H F, perpendicularis ex centro mun-
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di cadens in lineam meridianam ſtylus erit, & </
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>
<
s
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="
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xml:space
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">eius locus F. </
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<
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xml:space
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">Idem aſlequemur, ſi ex I, puncto ę-
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<
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fig-0450-01
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fig-0450-01a
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299
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<
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0450-01
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xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0450-01
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</
figure
>
quinoctialis liueæ emitta
<
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mus rectam I H, facien-
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tem cum linea meridia-
<
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na angulum complemen
<
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ti altitudinis poli H I D,
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quæ eundem circulum ſe
<
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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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">10</
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cet in H. </
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>
<
s
xml:id
="
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xml:space
="
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">Nam rurſus de-
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miſſa ex H. </
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>
<
s
xml:id
="
echoid-s28468
"
xml:space
="
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">ad meridianã
<
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lineã perpẽdicularis H F,
<
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erit ſtyli longitudo, lo-
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cusq́ue ipſius in puncto
<
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F. </
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>
<
s
xml:id
="
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xml:space
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">Ducta enim recta H D,
<
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/>
<
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position
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xlink:label
="
note-0450-02
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xlink:href
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xml:space
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">35. tertij.</
note
>
erit angulus I H D, in ſe
<
unsure
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-
<
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micirculo rectus: </
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>
<
s
xml:id
="
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"
xml:space
="
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">ac pro-
<
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/>
pterea in triãgulo D H I,
<
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/>
reliquus angulus H D I, al
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0450-03
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xlink:href
="
note-0450-03a
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xml:space
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">20</
note
>
titudini poli æqualis erit.
<
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</
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>
<
s
xml:id
="
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xml:space
="
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">Quare vt prius H F, erit
<
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ſtylus in F, erigendus.</
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>
<
s
xml:id
="
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xml:space
="
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</
p
>
<
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>
<
s
xml:id
="
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xml:space
="
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">QVOD ſi D, centrũ
<
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horologii datum nõ fue-
<
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rit, ita rem propoſitã exe-
<
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quemur. </
s
>
<
s
xml:id
="
echoid-s28474
"
xml:space
="
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">Si horologium
<
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fuerit Aſtronomicum cõ-
<
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tinens horas à meridie, & </
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>
<
s
xml:id
="
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xml:space
="
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">
<
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/>
media nocte, producemus lineã K D, horæ 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">vel 5. </
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>
<
s
xml:id
="
echoid-s28477
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xml:space
="
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">B D, aut 7. </
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>
<
s
xml:id
="
echoid-s28478
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xml:space
="
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">vel denique cuiuſcunque alterius
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0450-04
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xlink:href
="
note-0450-04a
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xml:space
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">30</
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>
horæ, quæ meridianã lineam ſecet in D. </
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>
<
s
xml:id
="
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"
xml:space
="
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">Erit namque D, centrum horologii, cum omnes lineæ ho
<
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rarum à meridie, ac media nocte lineam meridianã ſecent in centro horologii, vt in coroll. </
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>
<
s
xml:id
="
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xml:space
="
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">pro-
<
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poſ. </
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<
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xml:id
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xml:space
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">21. </
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<
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xml:space
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">lib. </
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<
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xml:space
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">1. </
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>
<
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="
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xml:space
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">demonſtratum eſt. </
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>
<
s
xml:id
="
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xml:space
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">Si autem fuerit horologium Babylonicum, vel Italicum horas ab
<
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/>
ortu, vel occaſu complectens, producemus duas horas ab crtu, vel occaſu ſecantes horam 6. </
s
>
<
s
xml:id
="
echoid-s28486
"
xml:space
="
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">à me
<
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/>
ridie, vel media nocte in vno eodemq́; </
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>
<
s
xml:id
="
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xml:space
="
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">puncto, vt ex tabula lineæ horæ 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">à meridie, vel media no-
<
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/>
cte poſita in ſcholio propoſ. </
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>
<
s
xml:id
="
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xml:space
="
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">20. </
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>
<
s
xml:id
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xml:space
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">lib. </
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>
<
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xml:id
="
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xml:space
="
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">1. </
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>
<
s
xml:id
="
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"
xml:space
="
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">conſtat, quales ſunt linea B k, horæ 23. </
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>
<
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xml:id
="
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xml:space
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">ab occaſu, & </
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>
<
s
xml:id
="
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xml:space
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">linea
<
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C K, horæ 13. </
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>
<
s
xml:id
="
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xml:space
="
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">ab occaſ
<
unsure
/>
u ſecantes ſeſe in K. </
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>
<
s
xml:id
="
echoid-s28496
"
xml:space
="
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">Si igitur per K, ducamus lineæ æquinoctiali parallelam
<
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K D, quæ meridianam lineam in D, ſecet, erit K D, linea horæ 6. </
s
>
<
s
xml:id
="
echoid-s28497
"
xml:space
="
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">à meridie, vel media nocte, cum
<
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/>
per punctum K, tranſeat huiuſmodi linea, vt ex dicta tabula perſpicuum eſt, parallelaq́ue ſit æqui
<
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/>
noctiali lineæ in horizontali horologio, vt in ſcholio propoſ. </
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>
<
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xml:id
="
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xml:space
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">22. </
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<
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">lib. </
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<
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xml:space
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">1 oſtenſum eſt. </
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<
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xml:id
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xml:space
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">Quamobrem
<
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<
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">40</
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D, centrum erit horologii, ac proinde ſi circa D I, ſemicirculum deſcribamus, inueniemus ſtylũ,
<
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eiuſq́ue ſedem, veluti prius. </
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>
<
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xml:id
="
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xml:space
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">Eadem linea horæ 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">à meridie, vel media nocte tranſit per punctum
<
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commune horarum 22. </
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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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">14. </
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<
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">ab ortu vel occaſu. </
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<
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xml:space
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">Item 21. </
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<
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<
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<
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">& </
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<
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">16. </
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<
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">aut 1. </
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<
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<
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">11. </
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<
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">&</
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<
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">c. </
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<
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xml:space
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">vt
<
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ex eadem tabula lineæ horæ 6. </
s
>
<
s
xml:id
="
echoid-s28518
"
xml:space
="
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">à meridie, vel media nocte liquet. </
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>
<
s
xml:id
="
echoid-s28519
"
xml:space
="
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">Vnde vt certi ſimus, num li-
<
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nea K D, ducta æquinoctiali lineæ parallela indicet verè horam 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">à meridie, vel media nocte, in-
<
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ueſtiganda erunt duo, aut tria, quatuorve, aut etiam plura puncta, ex prædicta tabula, per quæ li-
<
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nea horæ 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">à meridie, vel media nocte ducenda eſt. </
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>
<
s
xml:id
="
echoid-s28522
"
xml:space
="
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">Si enim per vnum illorum ducta lineæ æqui
<
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noctiali parallela tranſierit per reliqua puncta, haud dubie accuratiſſimè deſcripta erit linea ho-
<
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ræ 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">à meridie, vel media nocte, ac propterea & </
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>
<
s
xml:id
="
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xml:space
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">centrum horologii rectè inuentum erit. </
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>
<
s
xml:id
="
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"
xml:space
="
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">Si for-
<
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taſſis commodè duci non poſſit in horologio linea horæ 6. </
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>
<
s
xml:id
="
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"
xml:space
="
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">à meridie, vel media nocte, inquire-
<
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mus ex quacunque alia tabula lineæ alicuius horę à meridie, vel media nocte poſita in eodẽſcho-
<
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<
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="
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lio propoſ. </
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<
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<
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">lib. </
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<
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">1. </
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>
<
s
xml:id
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xml:space
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">alia puncta, per quæ illa linea horæ à meridie, vel media nocte duci debet.
<
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</
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>
<
s
xml:id
="
echoid-s28531
"
xml:space
="
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">Ducta namque illa linea ſecabitur rurſum meridiana linea in centro horologii. </
s
>
<
s
xml:id
="
echoid-s28532
"
xml:space
="
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">Vt ſi velimus du
<
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/>
cere lineam horæ 5. </
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>
<
s
xml:id
="
echoid-s28533
"
xml:space
="
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">à meridie, vel media nocte, producemus tam horas 22. </
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>
<
s
xml:id
="
echoid-s28534
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xml:space
="
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">& </
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>
<
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">12. </
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>
<
s
xml:id
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xml:space
="
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">ab ortu, vel oc-
<
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<
note
position
="
left
"
xlink:label
="
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xlink:href
="
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xml:space
="
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">Quo pacto ex
<
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loco ſtyli longi
<
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tudo eiuſdem
<
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inueſtigãda ſit
<
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/>
vna cum cen-
<
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/>
tro horologii
<
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/>
horizontalis, &
<
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/>
poli altitudo,
<
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ad quam horo
<
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/>
logium fabrica
<
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@@m eſt.</
note
>
caſu, quàm 16. </
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>
<
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="
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<
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">18. </
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<
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">aut 3. </
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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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">7. </
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>
<
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xml:id
="
echoid-s28542
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xml:space
="
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">&</
s
>
<
s
xml:id
="
echoid-s28543
"
xml:space
="
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">c. </
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>
<
s
xml:id
="
echoid-s28544
"
xml:space
="
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">Per puncta enim, vbi mutuo ſe diuident huiuſmodi horæ,
<
lb
/>
ducenda erit hora 5. </
s
>
<
s
xml:id
="
echoid-s28545
"
xml:space
="
preserve
">à meridie, vel media nocte, vt pater ex tabula lineæ horæ 5. </
s
>
<
s
xml:id
="
echoid-s28546
"
xml:space
="
preserve
">à meridie, vel me
<
lb
/>
dia nocte in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s28547
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s28548
"
xml:space
="
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">lib. </
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>
<
s
xml:id
="
echoid-s28549
"
xml:space
="
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">1. </
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>
<
s
xml:id
="
echoid-s28550
"
xml:space
="
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">poſita.</
s
>
<
s
xml:id
="
echoid-s28551
"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s28552
"
xml:space
="
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">NON aliter ſi ſtyli locus F, duntaxat detur ſine eius longitudine, altitudine poli, & </
s
>
<
s
xml:id
="
echoid-s28553
"
xml:space
="
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">centro ho
<
lb
/>
rologii, indagabimus & </
s
>
<
s
xml:id
="
echoid-s28554
"
xml:space
="
preserve
">horologii centrum, & </
s
>
<
s
xml:id
="
echoid-s28555
"
xml:space
="
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">poli eleuationem, & </
s
>
<
s
xml:id
="
echoid-s28556
"
xml:space
="
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">longitudinem ſtyli. </
s
>
<
s
xml:id
="
echoid-s28557
"
xml:space
="
preserve
">Inuenta
<
lb
/>
enim, vt proximè docuimus, linea horæ 6. </
s
>
<
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xml:id
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xml:space
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preserve
">vel alterius cuiuſque à meridie, vel media nocte, vbi
<
lb
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hæc lineam meridianam ſecabit, ibi erit centrum horologii D. </
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>
<
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