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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<
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">Demonſtratio
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conſtructionis
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horologii æqui-
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noctialis Aſtro
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nomici.</
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rioris lib. </
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">fit vt, ſi circa centrum mundi F, intelligatur æquinoctialis circulus, cui planum horolo-
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gii æquidiſtat, in propria poſi-
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tione, ſtylus E F, ſit axis mundi.
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<
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ſitad planũ Aequatoris in mun
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di centro, ſitq́ue ſtylus E F, qui
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rectus eſt ad planum horologij,
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ad planum Aequatoris rectus,
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vt in ſcholio propoſ. </
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<
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<
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Euclidis demõſtrauimus, quòd
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duo hæc plana parallela ponan-
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tur; </
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<
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xml:space
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">erit omnino ſtylus E F, pars
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axis mundani. </
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<
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xml:space
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">Quia vero circu-
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li horarum à meridie, vel me-
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dia nocte ſecant maximum pa-
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rallelorum ſemper apparentiũ,
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atque adeò, ex propoſ. </
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<
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<
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<
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">Theodoſii, & </
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eſt omnium parallelorum maxi
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mus, & </
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<
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ræ, in quo planum horologii
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exiſtit, & </
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<
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">cuius centrum eſt E,
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(quòd per propoſ. </
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<
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</
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<
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">Theodoſii, axis E F, per centrũ
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ipſius neceſſario tranſit) in 24. </
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partes æquales, tranſeuntq́ue
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omnes per axem mundi, atque
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adeo per punctum E, in quo, per propoſ. </
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<
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<
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<
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ctiones ſe interſecant; </
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<
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">erunt rectæ ex E, ad puncta diuiſionum illius paralleli, in quo horologium
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exiſtit, eductæ, ſectiones communes circulorum horariorum à meridie, vel media nocte, & </
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<
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paralleli. </
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<
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<
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<
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ſtrauimus, circulum A C B D, illi parallelo ſphæræ concentricum, in 24. </
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eædem rectæ per centrum E, & </
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<
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">puncta diuiſionum circuli A C B D, emiſſæ, communes ſectiones
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circulorum horarum à meridie, vel media nocte, & </
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<
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">plani horologij, hoc eſt, lineæ horarum à me-
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ridie, vel media nocte; </
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">ita vt A B, ſit ſectio Meridiani, & </
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<
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">plani horologij, recta deinde per ſequens
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punctum ab A, verſus D, & </
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<
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">per centrum E, ducta communis ſectio plani horologij, & </
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<
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ræ 1. </
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<
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<
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">Horologium igitur Aſtronomicum æquinoctia-
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le deſcripſimus, &</
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<
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<
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">SI in plano aliquo ſtabili, quod Aequatori æquidiſtet, horologium ſit deſcribendum, datus ſit lo-
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">Quo pacto idẽ
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horologiã ęqui
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noctiale con-
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ſtruendũ ſit in
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plano ſtabili, in
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quo locus ſtyli
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datus ſit.</
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cus ſtyli cuiusuis in puncto E, ducenda erit beneficio libellæ, & </
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<
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">perpendiculi per E, recta C D, Horizonti
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æquidiſtans, quam in E, ad angulos rectos ſecet recta A B. </
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<
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<
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nia perficienda erunt, vt prius.</
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</
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<
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rologio æquinoctiali deſignare.</
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<
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<
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<
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">huius libri, in qua ex axe E G, abſcindatur recta
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<
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">Arcus ſignorũ
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in horologio ę
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quinoctiali quo
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modo deſcribã
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tur ex Analem-
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mate.</
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E a, ſtylo cuiuſuis magnitudinis aſſumpto æqualis, & </
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<
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">per a, Æquatoris diametro HI, parallela
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agatur, quæ erit communis ſectio plani horologii, ac Meridiani, cum planum horologii per illam
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parallelam ductum plano Aequatoris per rectam HI, ducto æquidiſtet ſecundum magnitudinem
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ſtyli E a. </
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<
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">Productis autem diametris Zodiaci ſigna oppoſita connectentibus, vt fiant triangula per
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axem in conis, quorum baſes ſunt paralleli Aequatoris, & </
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<
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">vertex communis centrum E, erunt por
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tiones parallelæ per a, ductæ, interceptæ inter latera triangulorum per axem, diametri conicarum
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ſectionum, quæ quidem ex coroll. </
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<
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<
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