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 PRIMVS.
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tioni prædicti paralleli. </
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<
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xml:space
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<
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zontalis ad latitudinem borealem grad. </
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<
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<
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plementum, hoc eſt, grad. </
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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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">æquale ſit declinationi paralleli ♏ & </
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<
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xml:space
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quorum baſes ſunt paralleli boreales prædictis oppoſiti, nempe parallelus ♋; </
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<
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">♍, vbi
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tamen polus antarcticus ſupra Horizontem eleuatur. </
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<
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xml:space
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">Ex his facile erit iudicare, quænam plana horolo-
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giorum Parabolas faciant, Sole quemcunque parallelum poſſidente. </
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<
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xml:space
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">Si enim Sol exiſtat in parallelo ſe-
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ptentrionali, quem circulus maximus plano horologii æquidiſtãs tangit, erit communis ſectio horologij,
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& </
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<
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xml:space
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">coni vmbræ baſim habentis parallelum auſtralem oppoſitum, Parabole; </
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<
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pra horologii planum extollitur. </
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<
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xml:space
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">At vero ſi antarcticus polus ſupra planum horologii conſpiciatur, & </
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<
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xml:space
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">Sol
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obtineat parallelum auſtralem, quem circulus maximus horologii plano æquidiftans contingit, fiet Pa-
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rabole in cono vmbræ, cuius baſis eſt parallelus ſeptentrionalis oppoſitus, vt ex dictis patet. </
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<
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xml:space
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ra ſuperiore, ſi B, ponatur polus arcticus, & </
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<
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xml:space
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">Sol exiſtat in parallelo ſeptentrionali D E, deſcribet quidem
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radius Solis conos A D E, A F G, ſed horologii planum H I, in cono vmbræ A F G, cuius baſis F G, paral-
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lelo Solis D E, opponitur, faciet parabolen K L M. </
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<
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xml:space
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">Si uerò B, ponatur polus antarcticus, & </
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<
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xml:space
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">Sol percur-
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rat parallelum auſtralem D E, faciet eodem modo planum horologii parabolen in cono vmbræ ſepten-
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trionali A F G, &</
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<
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<
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xml:space
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">In eadem quoque figura vides polum arcticum B, tantum eleuari ſupra planum F E,
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tangens parallelum D E, Borealem, quantum eſt cõplementum declinationis paralleli oppoſiti auſtralis
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F G, &</
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<
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<
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">cum altitudo poli ſit arcus B E, complementum uero declinationis arcus C F, qui illi æqualis
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eſt, propter æquales angulos ad verticem in centro E, quibus inſiſtunt. </
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<
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xml:space
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">In vniuerſum enim circulus qui-
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libet maximus tangit illum parallelum, cuius declinatio æqualis eſt complemento altitudinis poli ſupra
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illum circulum maximum, vel quod idem eſt, cuius declinationis complementum æquale eſt altitudi-
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ni poli ſupra circulum maximum. </
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<
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<
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<
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gii æquidiſtans
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maximo circu-
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lo baſes conica
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rum ſuperficie-
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rum ſecanti fa-
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@it duas hyper-
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bolas oppoſitas
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& æquales.</
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& </
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<
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">plani horologij æquidiſtantis circulo maximo, qui baſes conicarum
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ſuperficierum ſecat, Hyperbolę ſunt oppoſitæ, & </
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<
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<
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<
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<
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">& </
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vtramque baſim: </
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<
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xml:space
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ſectiones M N O, P Q R. </
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<
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<
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</
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<
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per verticem; </
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<
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tur Hyperbole, & </
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<
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<
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P Q R, oppoſitæ, & </
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communes earundem ſuperficierum conicarum, &</
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