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 SECVNDVS.
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E, in horologio, hoc eſt, in axe mundi, per eandem propoſitionem 4. </
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<
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xml:space
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a, ſumantur ſemidiametri vſque ad triangulorum per axem latera, & </
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<
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">ad earum interualla ex E, cen
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tro horologii circuli deſcribantur, deſcripti erunt paralleli borealium ſignorum Zodiaci in horo-
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logio ſuperiori, cum radij ſignorum borealium in prædictam parallelam cadant per centrum E,
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producti. </
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<
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">Quòd ſi ex axe E F, accipiatur rurſum recta E e, ſtylo æqualis, & </
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<
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">eadem fiant, deſcriben-
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tur eodem modo in inferiori horologio paralleli ſignorum auſtralium Zodiaci, quòd radii ſigno
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rum auſtralium in parallelam per e, ductam cadant, ſi per centrum E, extendantur. </
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<
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xml:space
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ſi eiſdem ſemidiametris ex a, ſumptis circuli deſcribantur in horologio inferiori. </
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<
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metri in parallela per a, ducta contentæ, æquales ſunt reſpondentibus ſemidiametris in parallela
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per e, ducta contentis. </
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<
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">Quoniam enim, verbi gratia, in triangulis E a b, E e g, anguli ad puncta a, & </
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e, recti ſunt, & </
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<
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">anguli alterni b, & </
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<
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">g, æquales, propter parallelas lineas per a, & </
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<
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xml:space
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">e, ductas, ſuntq́ue la-
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xml:space
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">29. primi.</
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tera E a, E e, æqualia; </
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<
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">erunt quoque latera a b, e g, æqualia, nempe ſemidiametri conicarum ſectio-
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num: </
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<
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xml:space
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">eademq̀ue in cæteris eſt demonſtratio.</
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<
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</
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<
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">Alia deſcriptio
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arcuum ſigno-
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rnm in eodem
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horologio æqui
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noctiali.</
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<
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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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">Ex axe D G, vtrinque abſcindantur rectæ D h, D q, ſtylo æquales, & </
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<
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rallelæ radio Æquatoris D C. </
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<
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xml:space
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">Nam rectæ inter puncta h, q, & </
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">radios ſignorum comprehenſæ ſunt
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æquales ſemidiametris conicarum ſectionum prius inuentis. </
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<
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">in triangulis
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poſterioris hu-
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r
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uſce deſcriptio
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nis parallelor@
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solis.</
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E a b, D h m, D q o, quorum illud in priori figura, hæc autem in poſteriori cõtinentur, anguli ad
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puncta a, h, q, recti ſunt, & </
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<
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">anguli a E b, h D m, q D o, ęquales, quòd quilibet eorũ ſit cõplemento
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declinationis accepti paralleli æqualis, vt conſtat; </
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<
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ſtructione; </
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<
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">erunt quoque latera a b, h m, q o, æqualia. </
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<
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">Ex quo patet, ſatis etiam eſſe, ſi vna tantũ
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i
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in poſteriori
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modo ducatur
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vel ſola paralle
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la h l, vel q n.</
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parallela ducatur, nempe vel h l, vel q n, vt inueniantur ſemidia metri circulorum, vel ſectionum
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conicarum in vtroque horologio. </
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<
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xml:space
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">Cum enim oſtenſum ſit, ſemidiametros vtriuſque parallelæ
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æquales eſſe ſemidiametris parallelę per a, ductę in priori figura; </
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<
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<
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</
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ctialis deſcribi
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nõ poteſt in ho
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rologio æquino
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cti
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ali.</
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Manifeſtum autem eſt, ex ſcholio propoſ. </
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<
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<
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æquinoctiali deſcribi non poſſe, ſed totam euaneſcere; </
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<
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</
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<
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">Quòd ſi horas obſeruare libuerit prope tempus ęquinoctio-
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">Quid agend@,
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vt vmbra horas
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indicet prope
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tempus æquino
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ctiorum.</
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rum, nempe ante, vel poſt ęquinoctia, producendæ erunt lineę horarię vltra extremum circulum,
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qui in ſuperiori horologio ſignis ♉, & </
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dę, inquam, erunt, quantum magnitudo plani, in quo deſcribitur horologium, patietur: </
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