A Treatise on Optics |
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Page 48
... intersections . ( Todhunter's Diff . Calc . Chap . xxv . ) It will be sufficient for the purpose of illustration to con- fine our attention here to surfaces of revolution , the incident rays being either parallel to the axis of the ...
... intersections . ( Todhunter's Diff . Calc . Chap . xxv . ) It will be sufficient for the purpose of illustration to con- fine our attention here to surfaces of revolution , the incident rays being either parallel to the axis of the ...
Page 49
Stephen Parkinson. their ultimate intersections may be obtained in the same way as a common envelope . This envelope is the caustic curve , by the revolution of which about the axis the caustic surface is generated . Caustics formed by ...
Stephen Parkinson. their ultimate intersections may be obtained in the same way as a common envelope . This envelope is the caustic curve , by the revolution of which about the axis the caustic surface is generated . Caustics formed by ...
Page 51
... intersections of these successive conical surfaces form the caustic surface ( Art . 57 ) . ( i ) If instead of the whole pencil we consider that por- tion of it only which is incident on the annulus of the reflect- ing or refracting ...
... intersections of these successive conical surfaces form the caustic surface ( Art . 57 ) . ( i ) If instead of the whole pencil we consider that por- tion of it only which is incident on the annulus of the reflect- ing or refracting ...
Page 55
... intersect in K , and Hq ,, AO in T. Let AQ = u , Aq1 = v1 , Aq2 = v2 , AO = r , AОq2 = 0 , $ ( QA the angles of incidence or reflexion of φ + δφ QH Hn Then HQA = ultimately , HQ AH.sin HAQ AH.cos ultimately = ultimately ; HQ И 4 : . 84 ...
... intersect in K , and Hq ,, AO in T. Let AQ = u , Aq1 = v1 , Aq2 = v2 , AO = r , AОq2 = 0 , $ ( QA the angles of incidence or reflexion of φ + δφ QH Hn Then HQA = ultimately , HQ AH.sin HAQ AH.cos ultimately = ultimately ; HQ И 4 : . 84 ...
Page 58
... intersect in K , and OH , Aq , in T. Let AQ = u , Aq1 = v1 , Aq2 = v2 , AO = r , AOq2 = 0 , +84 angles of incidence of ( 94 $ φ δφ φ ' φ ' + δφ ' Then QA QH ' refraction Hn L HQA = HQ approximately , AH cos & ultimately ; и HqA AH cos o ...
... intersect in K , and OH , Aq , in T. Let AQ = u , Aq1 = v1 , Aq2 = v2 , AO = r , AOq2 = 0 , +84 angles of incidence of ( 94 $ φ δφ φ ' φ ' + δφ ' Then QA QH ' refraction Hn L HQA = HQ approximately , AH cos & ultimately ; и HqA AH cos o ...
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Common terms and phrases
aberration achromatism angle of incidence axis QA bright centre circle of least coincides colours concave conical surfaces convex lens cos² Crown 8vo cuts the axis deviation diameter direct pencil distance emergent equation excentrical eye-glass eye-piece Fcap field of view fixed lines focal length geometrical focus Hence illumination image formed incident directly incident pencil index of refraction intersection lenses luminous point magnifying power medium object object-glass parallel rays passes pencil of parallel pencil of rays pencil whose axis perpendicular plane surface point of incidence point q position primary plane principal focus principal plane prism radius rays incident reflected or refracted reflected pencil reflexion or refraction refracted rays refracting angle refracting surface refractive index shew small oblique pencil small pencil spectrum sphere spherical reflector spherical surface subtends supposed telescope thin lens v₁ v₂ αμ
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