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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altitudinis poli ſupra Horizontem verſus partes poli manifeſti, vt patet ex portione Analemma-
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tis propoſ. </
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<
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<
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">DEINDE quia linea indicis, in qua videlicet ſtylus, vel index affigendus eſt, talis eſſe debet,
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vt ſtylus, vel alia linea ex quocunque eius puncto ad planum horologii perpendicularis educta, in
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axem mundi cadat, ita vt planum per illam perpendicularem, & </
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ad planum horologii, inſtar proprii cuiuſdam Meridiani ipſius plani horologii; </
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vertex ſtyli, per propoſ. </
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<
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monſtrabimus talem eſſe lineam C G, quam diximus eſſe lineam indicis in conſtructione, hoc mo
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do. </
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<
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">Intelligatur triangulum E F G, moueri circa rectam E G, donec coniungatur cum plano ho-
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rologii horizontalis, ipſiq́ue Horizonti æquidiſtet, atque adeò ad planum horologii declinantis
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rectum ſit. </
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nantis perpendicularis, ac proinde cum axis mundi in punctum F, cadat in illo ſitu, vt proximè
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oſtendimus, quia à puncto β, tunc non differt, erit planum per rectam F G, & </
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<
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ctum, rectum ad planum horologii declinantis, inſtar proprii cuiuſdam Meridiani. </
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omnes rectæ, quæ in illo plano per axem, & </
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<
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">rectam F G, ducto ad rectam C G, perpendiculares
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ducuntur, rectæ ſint ad planum horologii declinantis, ex defin. </
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nes perpendiculares ad planum horologii ductas ex punctis rectæ C G, in axem mundi cadere, ac
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proinde rectam C G, lineam ſtyli eſſe, nempe communem ſectionem plani horologii, & </
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Meridiani dicti, tanquam lineam meridianam, ſi circulus, cui horologium æquidiſtat, eſſet Hori-
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zon. </
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<
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">Quoniam verò recta G H, ſumpta eſt ęqualis rectæ F G, ſi triangulum C G H, intelligatur
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moueri circa C G, donec rectum ſit ad planum horologii declinantis, atque adeo recta H G, (quæ
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perpendicularis ducta eſt ad rectam C G) ad idem ſit perpendicularis, cadet punctum H, in pun-
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ctum F, quòd & </
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mundi erit. </
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">Ex quo efficitur, angulum G C H, eſſe angulum altitudinis poli ſupra planum decli-
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nans, quia æqualis eſt ei, quem axis mundi, & </
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tis, & </
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