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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xml:space
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<
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xml:space
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<
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xml:space
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">Quæ horologia
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in ſuperficiebus
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conicis, quarum
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bales ſunt qui-
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cunque paralle-
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li Aequatoris,
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t
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aciant Ellip@es.</
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tionem auſtralẽ quàm quantum eſt complementum altitudinis poli arctici ſupra circulum maximum, cui
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planum horologii æquidiſtat, Ellipſis erit. </
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<
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xml:space
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">Talis erit ſectio coni baſim habentis parallelum ♑, & </
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<
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gij horizontalis ad latitudinem ſeptentrionalem, quæ excedit grad. </
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<
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<
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<
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<
s
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xml:space
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♑, nempe grad. </
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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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coni baſim habentis parallelum ♐, & </
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<
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xml:space
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">♒, atque horologii horizontalis ad latitudinem Borealem, quę
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excedit grad. </
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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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<
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">maior eſt comple-
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mento altitudinis poli. </
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<
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xml:space
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">Talis quoque erit ſectio coni baſim habentis parallelum ♏, & </
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<
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">♓, atque horo-
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logii horizontalis ad latitudinem ſeptentrionalem maiorem, quàm grad. </
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<
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<
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<
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declinatio, nimirum grad. </
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<
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<
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<
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<
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<
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conis, quorum baſes ſunt paralleli Boreales prædictis oppoſiti, vt parallelus ♋; </
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<
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<
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vbi polus tamen antarcticus ſupra Horizontem extollitur.</
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<
s
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xml:space
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">HINC facile diſces, quęnam plana horologiorum Ellipſes faciant, Sole exiſtente in quouis paralle-
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lo. </
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<
s
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">Etenim ſi Sol exiſtat in parallelo ſeptẽtrionali, cui circulus maximus plano horologii æquidiſtans ne-
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que æquidiſtat, neque eum tangit, neque ſecat, erit communis ſectio horologii, & </
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<
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">coni vmbrę baſim ha-
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bentis parallelum auſtralem oppoſitum, Ellipſis; </
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<
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uatur. </
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<
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xml:space
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">At uerò ſi antarcticus polus ſupra planum horologii extollatur, & </
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<
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">Sol ſit in parallelo auſtrali, cui
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maximus circulus plano horologii æquidiſtans neque ęquidiſtat, neque eum tangit, neq; </
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<
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in cono vmbræ, cuius baſis parallelus eſt borealis oppoſitus, vt ex dictis perſpicuum eſt. </
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<
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culus maximus parallelo cuiuis neque ęquidiſtat, neque eum tangit, neque ſecat, quando declinatio pa-
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ralleli maior eſt complemento altitudinis poli ſupra circulum maximum: </
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<
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clinationis paralleli minus eſt altitudine poli ſupra maximum circulum, vt ex figura manifeſtum eſt.</
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<
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<
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ctionem in plano deſcribere.</
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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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xml:space
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">Qua ratione co
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nica ſectio, cu-
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ius diameter in
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cono data ſit,
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deſcribatur in
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plano.</
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gulum per axem A B C; </
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<
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<
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">alio plano faciente vel Parabolen, vel Hyperbolen, vel
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Ellipſim, cuius diameter D E, æquidiſtans quidem trianguli lateri A C, in Parabola, ſecans verò
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idem latus A C, productum ſupra verticem A, in Hyperbola, vel intra conum, ſiue hoc fiat ſupra</
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