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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">QVOD ſi quando planum K L, cir culo maximo H I, æquidiſtans tantum à centro A, abſit, vt in fi-
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gura B D C E, non ſecet vtramque ſuperficiem conicam, ſed vnam tantum, vel neutram, augenda erit
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vtraque ſuperficies, donec à plano K L, ſecetur, vt in duabus appoſitis figuris vides.</
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<
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gii Meridiani,
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atque æquidi-
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ſtantis cuilibet
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circulo horarũ
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à meridie uel
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media noctc, im
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mo & Vertica-
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lis ad maiorẽ la
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citudinẽ quàm
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gr. 45 facit in co
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nicis ſuperficie-
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bus, quarũ ba-
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ſes ſunt paralle
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lus ſemper ap-
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parentium ma-
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ximus, & maxi-
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mus ſemper la-
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tentium, duas
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hyperbolas op-
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poſitas, & æqua
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les.</
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">circulus cuiuslibet horæ à meridie, vel media nocte, vt propoſ. </
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mus, ſiue Horizon rectus, immo & </
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<
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<
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parallelum, quorum alter maximus eſt eorum, qui ſemper apparent, alter maximus eorum, qui ſemper oc-
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cultantur; </
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<
s
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xml:space
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">erunt communes ſectiones ſuperficierum conicarum baſes habentium dictos parallelos, quas
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faciunt plana horologiorum dictis circulis maximis æquidiſtantia, hyperbolæ oppoſitæ, & </
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<
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<
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minorem declinationem habentes, quàm quantum eſt cõplementum altitudinis poli ſupra circulum ma-
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ximum, cui planum horologii æquidiſtat, hyperbolæ erunt oppoſitæ, & </
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<
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<
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conorum, quorum baſes ſunt paralleli ♋ & </
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<
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">♑, ac proinde omnium aliorum inter hos, (cum alii om
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nes minorem habeant declinationem, quàm illi) & </
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<
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">horologii Horizontalis ad latitudinem minorẽ quàm
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grad. </
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<
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">quia hac ratione complementum altitudinis poli maius erit, quàm grad. </
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</
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<
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diſtantis circulo maximo, ſupra quem polus mundi extollitur paucioribus gradibus, quam 66. </
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Ex quibus facile cognoſces, quænam plana horologiorum hyperbolas faciant, Sole quemcunque paralle-
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">Quæ horologia
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in ſuperficiebus
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eonicis, quarũ
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baſes sũt cũq;
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paralleli Aequa
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toris, facianthy
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perbolas oppoſi
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tas & æquales.</
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lum percurrente. </
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<
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atque adeo & </
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<
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">eius oppoſitum ſecat, erunt communes ſectiones horologii, & </
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parallelum illum, eiusq́; </
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<
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poſſunt. </
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eſt complemento altitudinis poli ſupra circulum illum maximum, vel cuius declinationis complementũ
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maius eſt altitudine poli ſupra circulum maximum, vt figura indicat.</
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<
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logii æquidiſtãs
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circulo maxi-
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mo baſibus co-
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nicarum ſuper-
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ficierum neque
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æquidiſtanti,
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neque eas tan-
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genti, aut ſecan
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ti, facit in altera
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ſuperficierum
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Ellipſim.</
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ni horologii æquidiſtantis circulo maximo, qui neque baſibus conica-
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rum ſuperficierum ęquidiſtat, neque eas tangit, neque ſecat, Ellipſis eſt.</
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æquidiſtet baſibus D E, F G, neque eas tangat, neque ſecet, etiamſi in infinitum augeantur ipſæ
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ſuperficies: </
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fectionem M N O. </
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que adeo & </
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</
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ximus B D C E, qui ſecabit, per propoſ. </
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<
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los rectos per rectas F G, K L, quæ ſe mutuo interſecabunt, nempe in puncto P, propterea </
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