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 TERTIVS.
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<
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<
s
xml:id
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xml:space
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">SI planum ad Horizontem inclinatum fuerit ſtabile, it a rem aggrediemur. </
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<
s
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xml:space
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">In plano ducemus Hori-
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xlink:label
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xlink:href
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xml:space
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">Qua ratione in
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plano ad Hori-
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zonæm in@lina
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to ſtabili horo-
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logium ſit con-
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ſtruendum.</
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>
zonti lineam æquidiſtantem F K, pro linea æquinoctiali, & </
s
>
<
s
xml:id
="
echoid-s23714
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xml:space
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">ad eam ducemus per pendicularem H E, pro
<
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linea meridiana, quæ illam ſecet in I. </
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<
s
xml:id
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xml:space
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">Deinde ex I, verſus partem inferiorem, ſi centrum horologij infra
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æquinoctialem lineam cadit, aut verſus ſuperiorem partem, ſi horologij centrum cadit ſupra lineam æqui
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noctialem, (Id quod ſuperiora ſex præcepta clariſſime docent) transferemus ex portione Analemmatis
<
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rectam H I, in lineam meridianam H E, vſque ad punctum H, quod centrum erit horologij. </
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>
<
s
xml:id
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echoid-s23716
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xml:space
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">Item in ean
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dem lineam meridianam ex portione Analemmatis transferem{us} rectam I D, ex I, vſque ad E. </
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<
s
xml:id
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xml:space
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">Po-
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stremo ex E, deſcripto circulo, eoq́, di@iſo in 24 hor{as}, &</
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<
s
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="
echoid-s23718
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xml:space
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">c. </
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>
<
s
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xml:space
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">reliqua perficiem{us}, vt prius.</
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>
<
s
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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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echoid-s23721
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xml:space
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preserve
">SI vero idem horologium deſcribendum ſit in plano dato, ſine portione Analemmatis ſeorſum con-
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<
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right
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xlink:label
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note-0373-02
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xlink:href
="
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xml:space
="
preserve
">Deſcriptio eiuſ
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dem horologii
<
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ad Horizontẽ
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inclinati pro
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data ſ@yli lon gi
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/>
@udine, cuius e-
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tiam locus da-
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tus fit, ſine por-
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tione Analem
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matis ſeorſum
<
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conſtru@ta.</
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>
ſtructa, ad quamcunque longitudinem ſtyli, cuius etiam loc{us} dat{us} ſit, progrediemur hac via. </
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>
<
s
xml:id
="
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xml:space
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">Sit lon-
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<
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xlink:label
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gitudo styli data D G, eiusq́, loc{us} in plano horologii punctum G. </
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<
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xml:space
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">Si igitur planum horologii fuerit quod-
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0373-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0373-01
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<
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position
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xml:space
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">20</
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cunque, vt horologium in eo deſcriptum in proprio deinde fitu collocetur, vel in planum ſtabile, quod ad
<
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Horizontem ſit inclinatum, transfer atur, ducem{us} per G, locum ſtyli lineam rectam vtcunque H E, pro
<
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linea meridiana: </
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>
<
s
xml:id
="
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xml:space
="
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">Si autem planum horologii proponatur ſtabile, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">ad Horizontem inclinatum, duce-
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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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">40</
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m{us} per G, lineam Horizonti par allelam D G, ad quam in G, excitabimus perpendicularem H E, pro
<
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linea meridiana: </
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<
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xml:id
="
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xml:space
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">& </
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<
s
xml:id
="
echoid-s23727
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xml:space
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">ex G D, abſcindemus rectam G D, dato ſtylo ęqualem. </
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<
s
xml:id
="
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xml:space
="
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">Ex centro autem D, arcum
<
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circuli deſcribemus, in eoq́, à recta D G, ad partes G, producta numer abim{us} complementum altitudi-
<
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/>
nis poli ſupra planum inclinatum inuentæ, verſus quidẽ partem inferiorem horologii, (quam nunc poni-
<
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/>
mus eſſe à puncto G, verſ{us} H) ſi centrũ horologii infra lineam æquinoctialẽ cadit, (quod quando contin-
<
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/>
gat, ex ſuperiorib{us} præceptis colligitur) verſ{us} partem autem ſuperiorem, ſi centrum horologii ſupra
<
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lineam ęquinoctialem exiſtit; </
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<
s
xml:id
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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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">ex D, per finem ſupputationis rectam educem{us}, quę meridianam lineã
<
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ſecet in H, centro horologii. </
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>
<
s
xml:id
="
echoid-s23731
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xml:space
="
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">In eodem quoque arcu ab eadem recta D G, verſ{us} oppoſitam partem nu-
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merabimus ipſam altitudinem poli ſupra planum inclinatum inuentam, & </
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>
<
s
xml:id
="
echoid-s23732
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xml:space
="
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">per finem numer ationis ex D,
<
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rectam ducem{us}, quæ ad D H, perpendicularis erit, ſecabit{q́ue} meridianam lineam in puncto I, per quod
<
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<
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position
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ducenda eſt linea æquinoctialis F K, ad meridianam lineam perpendicularis. </
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<
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="
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xml:space
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">Sumpta iam recta I E, ipſi
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I D, æquali, deſcripto{q́ue} circulo ex E, qui in partes 24. </
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>
<
s
xml:id
="
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xml:space
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">æquales ſecetun, abſoluem{us} reliqua, vt pri{us}.
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</
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<
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xml:space
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">Demonſtratio hui{us} rei ab ea non differt, quam in ſcholio propoſ. </
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<
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">1. </
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<
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<
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xml:space
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">ſcripſim{us}, cum horo-
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logium horizontale ad datam ſtyli longitudinem conſtrueremus. </
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<
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xml:id
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xml:space
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">Eſt enim planum ad Horizontem inclin-
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natum Horizon quidam, vt perſpicuum eſt.</
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</
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<
s
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xml:space
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">PER Ellipſim quoque in plano horologii deſcriptam, cui{us} maior ſemidiameter eſt H I, minon au-
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xlink:label
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xlink:href
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xml:space
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">Deſcriptio eiuſ
<
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dem horologii
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beneficio Elli-
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pſis.</
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tem I D, & </
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<
s
xml:id
="
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xml:space
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">centrum H, deſcribem{us} idem horologium, vt horizont ale deſcripſim{us} in ſcholio propoſ. </
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<
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</
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<
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<
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">Id quod ex figura, quam in eo ſcholio appoſuimus, facile intelligi poteſt. </
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<
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xml:id
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">Refert enim ea
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figur a in regione, cui{us} latitudo complectitur grad. </
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<
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<
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">horologium inclinatum ad Horizontem gr. </
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<
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parte boreali: </
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<
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">quia tunc pol{us} arctic{us} habet ſupr a illud planum altitudinem grad, 42. </
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<
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& </
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<
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">ſupra Horizontem illi{us} loci, pro quo illud horizontale horologium conſtruxim{us}.</
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