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 QVINTVS.
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<
s
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xml:space
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">QVAMVIS autem propter impedimentum terrę Sol neutram faciem propoſiti circuli illuminet,
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niſi ſupra Horizontem existat, ſupputandæ ſunt nihilominus altitudines Solis ſupra vtramq; </
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>
<
s
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xml:space
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">faciem pro
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illis etiam horis, quibus Sol infra Horizontem latet, quia per illas facilius horologia, & </
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<
s
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xml:space
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ſcribuntur, vt ex ſequentibus patebit.</
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<
s
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xml:space
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">RVRSVS ſupra faciem borealem eiuſdem circuli Verticalis eleuatur arcticus polus totidem gra-
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dibus, quot antarcticus ſupra priorem faciem, nimirum grad. </
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<
s
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<
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<
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<
s
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pra illam extans, inſtar arcus diurni, comprehendet horas 14. </
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<
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<
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<
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</
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<
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<
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<
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<
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<
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<
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43. </
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<
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xml:space
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">verſus occaſum, ita vt hora 9. </
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<
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<
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<
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<
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inueniemus horas, quibus Sol in principio ♋, vel ♑, exiſtens dictam faciem borealem illuminaret, niſi
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<
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à terra impediretur.</
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<
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<
s
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xml:space
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">CAETERVM cum Federico Commandino explorabimus quoque ex Analemmate, quot, & </
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xml:space
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">Quæ horę son-
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tineãtur ſupra
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faciem propoſi
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tam dati circu
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li maximi, a@
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proinde qua
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hora eandem
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illuminare in-
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cipiat, aut deſi-
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nat, quo pacto
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ex Analemma-
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te deprehend@
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@ur.</
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quæ horæ ſupra datam faciẽ cuiuſuis circuli maximi contineantur, atq; </
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<
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xml:space
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">adeò qua hora Sol eandem faciem
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incipiat, aut deſinat illuminare, hoc modo. </
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<
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xml:space
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">Deſcribatur Analemma A B C D, cuius centrum E, cum pa
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rallelis ſignorũ (Deſcripſi,
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0469-01
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mus autem tres tantum pa-
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rallelos, nempe F G, ♋;
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</
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<
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">K L, ♉, H I, ♐; </
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<
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titudo cõfuſionem pareret,
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qui quidem inſtar omnium
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<
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erunt. </
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<
s
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xml:space
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">Nam F G, funge-
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tur etiam officio paralleli
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♑, cum ♋, & </
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<
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">♑, æquales
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habeant ab Acquatore de-
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clinationes; </
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<
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xml:space
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">K L, geret
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vices etiã paralleli ♍, ♓,
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& </
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<
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">♏, propterea quod hæc
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ſigna & </
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<
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">♉, æqualiter ab
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Aequatore declinant; </
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<
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">De-
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nique H I, erit quoque in-
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ſtar par alleli ♒, ♊, & </
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quia eadem eſt declinatio
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♐, & </
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<
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xml:space
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">horum ſignorum) cir
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ca diametros autem paral-
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lelorum ſemicirculi deſcri-
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bantur. </
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<
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xml:space
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</
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<
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">Horizon M N; </
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<
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12 13. </
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<
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xml:space
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">Deinde à punctis
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O, P, Q, vbi Horizon dia-
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metros parallelorum ſecat,
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<
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ad diametros ducantur per
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pendiculares Q R, P S, O T. </
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<
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xml:space
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">Quoniam igitur tam Horizon, quàm parallelus ♋, ad Meridianum rectus
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eſt, erit quoque ad eundem communis eorum ſectio recta; </
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<
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xml:space
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">at que, adeò per defin. </
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<
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<
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">libri 11. </
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<
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<
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">ad vtrã-
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<
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xlink:label
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">19. vndec.</
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que F G, M N, perpendicularis. </
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<
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xml:space
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">Quare Q R, quæ in plano paralleli ad F G, perpendicularis eſt, com-
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munis ſectio erit Horizontis & </
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<
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">paralleli ♋; </
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<
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xml:space
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">atque adeò F R, erit arcus ſemidiurnus ♋; </
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<
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">at G R, arcus
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ſemidiurnus ♑. </
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<
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xml:space
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">Eodem modo erit P S, communis ſectio Horizontis & </
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<
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">paralleli ♉, & </
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<
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">K S, arcus ſe-
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midiurnus ♉, & </
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<
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<
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<
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paralleli ♐, & </
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<
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xml:space
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">H T, arcus ſemidiurnus ♐, & </
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<
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xml:space
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">♒, at I T, arcus ſemidiurn{us} ♊, & </
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<
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<
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communis ſectio Horizontis, & </
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<
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xml:space
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">Aequatoris, ſeu paralleli ♈, & </
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<
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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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<
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xml:space
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">parallelos ſecat, perpendicula-
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res ad parallelos ducãtur V Z, X α, Y β, erunt hæ communes ſectiones Verticalis, & </
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<
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vt arcus R Z, S α, & </
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<
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<
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">Verticalem interijciãtur, & </
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<
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xml:space
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">Verticalis circuli pla-
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num, dum eos Sol percurrit, à Sole non illuminetur ex parte meridiei.</
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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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xml:space
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cile habetur, inuento ex propoſ. </
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<
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<
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<
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<
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">arcu Meridiani N δ, inter ipſum circulum, ac Horizon-
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tem. </
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<
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<
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<
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<
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<
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">eiuſdem circuli inclinatione ad Meridianum, inueniatur ex
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propoſ. </
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<
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<
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<
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">1. </
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<
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">minor diameter Ellipſis, quam perpendiculares à circumferentia circuli inclinati in
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planum Meridiani deductæ faciunt, quæ ſit ε θ, ſecans maiorem diametrum γ δ, ad angulos
<
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rectos in E, centro; </
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<
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xml:space
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">atque circa datas diametros γ δ, ε θ, Ellipſis deſcribatur, iuxta ea, quæ in
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ſcholio 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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<
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">tradidimus, ſecans diametros parallelorum in λ, μ, ξ, π, ρ, @, φ, </
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