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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neceſſarium fere inuenire in tropicis puncta illorum ſignorum, quorum puncta in linea æquino
<
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ctiali inuenta adeo propinqua ſunt lineæ horizontali, vt vix ſine errore aliquo linca ſigni aſcenden
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tis per duo illa puncta vicina duci poſſit, niſi accedat tertium in tropico repertum. </
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<
s
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xml:space
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ctum inueniendum ſit in tropico ſupra lineam horizontalem, inueniemus illud, etiamſi tropicus
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xlink:href
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<
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<
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<
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non ſit deſcriptus ſupra horizontalem lineam hac arte. </
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<
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xml:space
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<
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xml:space
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">g. </
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<
s
xml:id
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xml:space
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">punctum pro ſigno
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♍. </
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>
<
s
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xml:space
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">Quoniam Sole exiſtente in principio ♑, ſignum ♍, oritur hora 9. </
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>
<
s
xml:id
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xml:space
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">min. </
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<
s
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xml:space
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">26. </
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<
s
xml:id
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xml:space
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">poſt meridiem, vt
<
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ex 4. </
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<
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xml:space
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<
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">9. </
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<
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xml:space
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">huius lib. </
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<
s
xml:id
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xml:space
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">patet, numerabimus in occidentali horologio à G, verſus F, horas
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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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">Min. </
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>
<
s
xml:id
="
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xml:space
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">26. </
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<
s
xml:id
="
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xml:space
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">vel (quod idem eſt) à puncto I, (quoniam circulus in occidentali horologio non eſt in-
<
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teger deſcriptus.) </
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>
<
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xml:space
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">verſus F, complementum illarum horaru m vſque ad 12. </
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<
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xml:space
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">hoc eſt, hor. </
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<
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xml:space
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">Min. </
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<
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xml:space
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">34.
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</
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<
s
xml:id
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xml:space
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">vſque ad punctum O, per quod ducemus rectam occulte tranſeuntem per E, centrum, quæ æqui-
<
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noctialem lineam ſecet in L, puncto, per quod verſus arcum ♑, ducemus perpendicularem ad li-
<
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neam æquinoctialem L K, quæ tropicum ♑, ſi deſcriptus eſſet, ſecaret in puncto, per quod ſignũ
<
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aſcendens ♉, ducendum eſſet. </
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>
<
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xml:space
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">Sed quia tropicus ♑, vltra horizontalem lineam non eſt deſcriptus
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in occidentali horologio, abſcindemus ex linea æquinoctiali infra lineam horizontalem rectam
<
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<
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xml:space
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A M, rectæ A L, æqualem, & </
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<
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xml:space
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">ex M, ad æquinoctialem lineam ducemus perpendicularem M N,
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quæ tropicum ♑, ſecet in N, & </
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<
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xml:id
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xml:space
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">rectæ M N, abſcindemus æqualem L K. </
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<
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xml:id
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xml:space
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">Punctum igitur K, erit
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illud, per quod & </
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<
s
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xml:space
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">tropicus ♑, & </
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<
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xml:space
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">ſignum aſcendens ♍, ducendum eſt, vt perſpicuum eſt. </
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<
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xml:space
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">Eadem eſt
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ratio in cæteris obſeruanda. </
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<
s
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xml:space
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">Neque vero mirum tibi videatur, quod acceperimus nonnulla puncta
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tam in æquinoctiali linea, quàm in tropicis ſupra lineam horizontalem, cum tamen nunquam
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à Sole illuminetur pars illa horologii, quæ ſupra lineam horizontalem extat: </
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>
<
s
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xml:space
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">quoniam niſi denſi-
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tas terræ obſiſteret, planum horologii orientalis ſemper à media nocte vſque ad meridiem inte-
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gris 12. </
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>
<
s
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xml:space
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">horis, quarum vna pars infra horizontalem lineam, altera ſupra eandem continetur, à ra-
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<
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xlink:label
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xml:space
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">Qua rationę
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aſcendentia ſi-
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gna per doctri-
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nam conicorũ
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A poll. deſcribã
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tur.</
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diis ſolaribus illuſtraretur. </
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<
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xml:space
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">quod idem dices de plano occidentalis horologij à meridie in mediã
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noctem. </
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<
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xml:space
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">Vnde tunc illæ horæ indicarent, quænam ſigna Zodiaci Horizontem attingant. </
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<
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xml:space
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">Quòd ſi
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lineæ tangentes tropicos ducantur per puncta in tropicis inuenta, (quæ ducentur, vt in coroll.</
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