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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s
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<
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xml:space
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">rectè, illa ſuperficies conica, cuius baſim deſcribit centrum Solis, appellari
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nica luminis
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quæ.</
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ſuperficies conica luminis, quòd à radio Solis deſcribatur; </
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<
s
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xml:space
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">altera verò, cuius baſim punctum centro So-
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lis oppoſitum deſcribit, ſuperſicies conica vmbræ, quia ab vmbra, quam centrum mundi proijcit, deſcri-
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<
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">Superficies coni
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ca vmbræ quæ.</
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bitur. </
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<
s
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xml:space
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">Vt Sole exiſtente in puncto F, ſuperficies luminis eſt E F G, quia tota à Sole illuminatur, ſuper-
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ficies verò vmbræ E I H, quia ab vmbra centri E, ſecundum rectam E I, proiectam deſcripta eſt. </
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<
s
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xml:space
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">Contra
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autem, Sole punctum I, poſſidente, ſuperficies luminis dicitur E I H, & </
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<
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xml:space
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<
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nunc, centrum E, vim habere vmbram proijciendi; </
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<
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">quia vt in propoſ. </
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<
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">præcedenti diximus, centrum mun
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di intelligitur in quolibet borologio eſſe vertex ſtyli, qui vtique corpus opacum cum ſit, vmbram proij-
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cit, vt manifeſtum eſt.</
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<
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">THEOREMA 3. PROPOSITIO 4.</
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logij æquidiftãs
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baſibus conica-
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rum ſuperficie-
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rum facit in al-
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tera ſuperſicie-
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rum circulum.</
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<
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<
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">SECTIO communis ſuperficierum conicarum in centro mundi,
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tanquam vertice communi iunctarum, quarum baſes duo ſunt paralle-
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li Sphærę oppoſiti, & </
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<
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">æquales, ad motum diurnum circa mundi polos
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deſcripti, & </
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<
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">plani horologij æquidiſtantis circulo maximo, qui baſibus
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conicarum ſuperficierum æquidiſtat, circulus eſt, centrum habens in
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axe mundi.</
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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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">IN Sphæra, cuius centrum A, ſint duæ ſuperſicies conicæ A D E, AFG, coniunctæ ad mundi
<
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centrum A, tanquam ad verticem communem, quarum baſes paralleli ſint ad motum diurnum
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deſcripti, oppoſiti & </
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<
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">æquales D E, F G; </
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<
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">& </
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<
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">axis B C. </
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<
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xml:space
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">Sit quoque HI, circulus maximus in Sphæra
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ęquidiſtans baſibus D E, F G, di-
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ctarum ſuperficierum conicarũ:
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</
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<
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horologij planum K L, faciens
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in conica ſuperficie A F G, ſe-
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ctionem M N. </
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<
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">Dico M N, eſſe
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circulum, qui cẽtrum habeat in
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axe mundi. </
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<
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xml:space
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">Cum enim plana
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F G, K L, plano H I, parallela
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ponantur, & </
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<
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lela erunt, per ea, quę ad propoſ.
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<
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<
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<
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uimus. </
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<
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">Quamobrem, cùm ſu-
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perficies conica A F G, ſecetur
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plano K L, quod baſi F G, æqui-
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diſtat, ſectio facta M N, per pro-
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poſitionem 4. </
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<
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<
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<
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">Apollonii,
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circulus erit centrum habens in
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axe B C, vbi nimirum planum
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horologii axi occurrit. </
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<
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modo, ſi planum circulo HI,
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æquidiſtans ſecet conicam ſu-
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perficiem A D E, ſectio circulus
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erit. </
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<
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ſuperficierum conicarum, &</
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<
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<
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<
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<
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<
s
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">HINC fit, communem ſectionem plani horologij Aequinoctialis, & </
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<
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<
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horologiũ ſecãs
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ſuperficiem co-
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nicam, cuius ba
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ſis ſit parallelus
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Aequatoris, fa-
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cit circulum.</
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rum baſes ſunt quicunque paralleli à Sole deſcripti, oppoſiti, & </
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<
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">æquales, vel alij quicunque his ęquidiſtan
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tes, quales etiam ſunt maximi parallelorum ſemper apparentium, & </
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<
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lum: </
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<
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">propterea quòd æquinoctialis circulus, cui planum horologii æquidiſtat, æquidiſtans eſt baſibus
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ſuperficierum huiuſmodi conicarum.</
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