Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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MATHEMATICA LIB. III. CAP. XV.
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<
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xml:space
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">Specula ſphærica ſunt aut cava aut convexa.</
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<
s
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xml:space
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">Prima formantur ex portione ſphæræ cavæ & </
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<
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">politæ.</
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<
s
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xml:space
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">Secunda ſunt portiones ſphærarum ab exteriori parte po-
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litarum.</
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<
s
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xml:space
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">Radius in ſpeculum quodcunque ſphæricum impingens, cum
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">804.</
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ſuo reflexo, dantur in plano, quod continuatum per ſphæræ cen-
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trum tranſit , eſt enim tale planum ad ſuperficiem
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perpendiculare. </
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<
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incidentiæ ducitur, continuata, cum radio incidente & </
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flexo angulos æquales format ; </
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<
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">nam linea hæc eſt
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dicularis ad ſuperficiem & </
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<
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flexionis: </
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<
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">ideoque radius per centrum tranſiens, aut qui con-
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<
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tinuatus per centrum tranſiret, reflexus in ſe redit.</
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fig. 5.</
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">punctum radians A; </
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A b, A d, A e, radii incidentes; </
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e b; </
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radius reflexus erit continuatio incidentis, aut potius in
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puncto contactus terminatur radiorum reflexio.</
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<
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<
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">Si radii à ſpeculo convexo reflexi b f, d g, e b continuentur,
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cum omnibus intermediis, interſectionibus ſuis formant cur-
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vam a a, quam omnes hi radii tangunt, & </
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mutuo interſecant in ipſa periferia curvæ; </
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<
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lum intrent quaſi à puncto periferiæ procederent; </
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<
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ideò punctum A ſemper apparet , quamdiu reflexi ad
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lum pervenire poſſunt, & </
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<
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per centrum ſphæræ tranſit: </
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<
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no, in aliâ curvâ apparet radians, quia tales curvæ dantur in
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ſingulis planis, quæ per A & </
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<
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<
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ſpeculum, omnia etiam objecta poſt ſpeculi ſuperficiem appa-
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rent.</
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<
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<
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veatur circa ſpeculum, eodem motu fertur tota curva a a;
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<
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">quod probat, quantum ad ſitum erectum aut inverſum, pun-
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cta repræſentationis eandem inter ſe habere relationem,
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quam ipſius objecti puncta.</
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<
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