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| Hamilton W.R. — The collected mathematical papers. Volume 1: geometrical optics |
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| Предметный указатель |
 for instrument of revolution xxvii xxviii 298 396 397 434 455 508 512
for reflector or refractor of revolution 391 409
for refracting sphere 395
for system of refracting curves 417
for system of refracting surfaces of revolution (close together) 417—420 423 426 431 434 455
for thick lens xxvii 394 396 410 419
for thin lens 375
for thin lens, of uniaxal crystal 337
for two thick lenses xxiv xxvii 396
for two thin lenses (close together) 371
, cardinal forms for 509
 for instrument of revolution xxvii xxviii 298 434 455 509 513
for reflector or refractor of revolution 391
for system of surfaces of revolution (close together) 426 431 433 434 455
for thick lens xxvii 400 401
for thin lens 375
for thin lens of uniaxal crystal 337
for thin system xxviii. See also for system of surfaces
for two thick lenses xxiv xxvii 402 458
for two thin lenses (close together) 373 405
for uncentred telescope 368
 , chromatic index or measure of colour See Chromatic index
 See Medium-function 
 ,  ,  169 324
, , as components of normal slowness in undulatory theory 172 277 301 327 497
, , , sudden changes in, in reflection or refraction 118 215 285 301 325 329
, connections of partial differential coefficients of, with those of v and 207. See also
A-parabolicity 441
A-parabolicity, for sphere 425
Abbe 162 406
Abel xi
Aberration coefficients for instrument of revolution xxvi 298 512.
Aberration coefficients for system of refracting surfaces of revolution, close together 457
Aberration coefficients for thick lens 401
Aberration coefficients for thin lens 375
Aberration coefficients for two thick lenses 459 460
Aberration coefficients for two thin lenses, close together 373
Aberration, components of, at mirror 77
Aberration, constants of 299. See also Aberration coefficients
Aberration, effect of, in prismatic interference xxvi 305 307 310
Aberration, ellipse of See Ellipse
Aberration, figure of eight or hour-glass curve of xxii 44
Aberration, indiametral 454
Aberration, lateral, for oblique rays 454
Aberration, lateral, from any point of ray xxii 42
Aberration, lateral, from one of two foci on ray xxii 42
Aberration, lateral, from principal focus xxii 46 83 141
Aberration, lateral, from principal focus, conditions of vanishing 49
Aberration, lateral, in reflected system 40
Aberration, lateral, of reflecting surface of revolution 390
Aberration, limiting lines of 47
Aberration, longitudinal, coefficients of xxv 160 427 429
Aberration, longitudinal, for oblique rays 454
Aberration, longitudinal, in reflected system 40
Aberration, longitudinal, in system of revolution 159
Aberration, longitudinal, of reflecting hemisphere 390
Aberration, longitudinal, of reflecting surface of revolution 390
Aberration, longitudinal, of refracting surface of revolution xxv 160
Aberration, longitudinal, of refracting surfaces of revolution, close together 427 429 441
Aberration, longitudinal, of spheric surface 442
Aberration, longitudinal, of thin lens xxv 162 427 443
Aberration, longitudinal, of thin lens, of uniaxal crystal xxvi 336
Aberration, longitudinal, of two thin lenses, close together 428 443
Aberration, orders of xxiv 49
Aberration, plane of See Plane of aberration
Aberration, spherical See also Aplanaticity direct
Aberration, spherical, comparison with Herschel 437 454
Aberration, spherical, of instrument of revolution xxiii xxvii 378 383 457 510
Aberration, spherical, of thin double lens xxiv xxvii xxviii 406 435
Aberration, spherical, of thin optical system xxviii 431 435
Aberrations See also Aplanaticity Astigmatism Coma Curvature Distortion
Aberrations for oblique rays 444
Aberrations in developable systems 7
Aberrations in normal congruences xxii xxv
Aberrations in plane systems 6
Aberrations in reflected systems 40
Aberrations in refracted systems 94
Aberrations in undevelopable systems 7
Aberrations near principal focus 275
Aberrations of biaxal lenses 293
Aberrations of instrument of revolution xxiii xxvi xxvii 299 366 376 383 457 488 508
Aberrations of instrument of revolution, dependent on six radical constants xxvi 299.
Aberrations of instrument of revolution, intention to develop theory of 165
Aberrations of spheric lenses 364
Aberrations, chromatic 104
Aberrations, dependent on 299
Aberrations, spherical (old sense) 299
Accumulated disturbance, principle of 313
Achromatic object glass See Object glass
Achromatism, conditions of 104
action See also V
Action, or Action integral, as characteristic function xx xxi xxv 8 106 107 111 132 168 295 328
Action, or Action integral, definition of, in optics 8 10 14 104 109 132 168 316 317 318 324
Action, or Action integral, may be maximum instead of minimum 318
Action, principle of constant 9 107
Action, principle of least xxi xxv 8 10 89 104 107 109 295 487 500
Action, principle of least, deduced from law of ordinary reflection 10
Action, principle of least, deduced from law of ordinary refraction 89
Action, principle of least, history of 316
Action, principle of stationary 316 317 318 324
Action, principle of varying 316 318 327
Action, spheroids of constant 133
Action, spheroids of constant, as waves in undulatory theory 259
Action, surfaces of constant, as waves in undulatory theory 107 259
Action, surfaces of constant, cutting rays perpendicularly 13 89 97 105
Action, surfaces of constant, directions of spheric inflexion on 87
Action, surfaces of constant, in extraordinary systems 132
Action, surfaces of constant, in uniaxal and biaxal crystals 8
Action, surfaces of constant, osculation and intersection of 133 270 479
Action-function see V
Action-surfaces, extreme osculating 270
airy 164 165 307 310 383 384 385 464
Algebra considered as the Science of pure Time xi xiii
Algebraic couples xi
Amaldi 487
Ampere 463
Analogy to geometry of Descartes xix 295 330 473
Analysis, method of 314
Angle of chromatic dispersion 232
Angle of intersection of developable surfaces 334 351 464
Anisotropic media See Media
Aplanatic, meaning of xxvii 406
Aplanaticity, direct xxvii. See also Aberration spherical
Aplanaticity, direct, condition of, for surfaces of revolution close together 434 435 447 451 452
Aplanaticity, direct, condition of, for two thin lenses 406 429 435 437 438 440
Aplanaticity, Herschel's second condition of 376 385 386 432 437 439 454
Aplanaticity, oblique xxvii. See also Coma
Aplanaticity, oblique, condition of, for surfaces of revolution close together 435 447 451 452
Aplanaticity, oblique, condition of, for two thin lenses, close together 405 406 429 435 437 440
Apparent distance of luminous point 32
Application of analysis to optics 17 88
Approximate method of calculating T 372 390 408 507
Arago 463
Arc of caustic curve 24 102
Archaic usages xviii
Area of section of caustic surface 300
Area of section of pencil of vision 32
Area surfaces of least 7
Aretes de rebroussement 20 92 120 354.
Arragonite 303 312
Arrangement of final rays in instrument of revolution xxiii xxvi 300 366 503.
Arrangement of near final ray-lines 232
Arrangement of near final ray-lines, from oblique plane 241
Arrangement of rays near principal focus 275. See also Aberration
Arrangement, elements of See Elements of arrangement
Astigmatism xxiii xxvii 378 383 431 435 457 510
Astronomy, characteristic function in xi xxi xxvi 9 301 311 330
Astronomy, professorship of x
Asymptotic lines See Lines of inflexion
Atmosphere, equations of rays in xxv 104 326
| Auxiliary functions 174. See also Characteristic function; T; W
Auxiliary paraboloid for ray-lines from oblique plane 248 252
Axes of distortion 256
Axes of elasticity in biaxal crystal 165 280
Axes of plane system of rays 6
Axes of reflected system of rays 34. See also Principal rays
Axes of refracted system of rays 93. See also Principal rays
Axes of undevelopable pencil 7
Axes, conjugate guiding 232
Axes, natural, at principal focus 85 143
Axes, optic, in biaxal crystal 283
Axes, principal, in instrument of revolution 366
Axes, principal, of developable system 7
Axis of chromatic dispersion 232
Axis of curvature of ray 232
Axis of curvature of ray, rotation round 253
Axis of deflexion 243
Axis of deflexure 244
Bartolinus 312
Base of surface of rays 346
Bases of developable surfaces of rays 348
Baxandall 383
Berkeley xiii
Biaxal crystal see Crystal biaxal
Biaxal energy 285
Birkhofp 486
BLISS 467
Bounding pencil of vision 31
Boyton 345
Brewster, spheroids of 8
Brinkley ix x 345 462
British Association in Dublin xiv
Bruns xxiii 488 493
Cajori 370
Calculation, Hamilton's faculty for xii
Calculus of finite differences 69 96
Calculus of principal relations xi
Calculus of variations xx xxv 8 104 107 110 319
Canonical form of equations of ray 171 182
Cardinal forms for 509
Cardinal points 508
Cartan 486 487
Cartesian surfaces 89
Cauchy 164 279 291 292 293 303 463
Caustic curve, arc of 24 102
Caustic curve, cusp on 83
Caustic curve, in developable system 7
Caustic curve, in plane system, arc and curvature of 6
Caustic curves, connections of characteristic functions with 120 477
Caustic curves, in extraordinary systems of rays 120 477
Caustic curves, in rectangular systems of rays 19 92
Caustic curves, transition-points on 270
Caustic pencils 270
Caustic principal 362
Caustic surface, curvatures of 4
Caustic surface, density at 82
Caustic surface, density near 54
Caustic surface, partial differential coefficients of 355 361
Caustic surface, quadrature of section of 300
Caustic surface, shape of, near cusps 366
Caustic surface, sharp edge on 83
Caustic surfaces, as branches of one surface 354
Caustic surfaces, as loci of points of vergency 240
Caustic surfaces, as singular primitives 23 347
Caustic surfaces, coincident 102
Caustic surfaces, connections of characteristic functions with 120 477
Caustic surfaces, determination of, by methods of Third Supplement 265
Caustic surfaces, determining reflecting or refracting surfaces 97
Caustic surfaces, equation of 21
Caustic surfaces, for instrument of revolution 300 364 366
Caustic surfaces, for reflection at mirror 22 25
Caustic surfaces, for spheric lenses 364
Caustic surfaces, generations of 357
Caustic surfaces, history of 315
Caustic surfaces, in extraordinary systems of rays 7 120 265 477
Caustic surfaces, in rectangular systems of rays 19
Caustic surfaces, intersection of 7 34 83 92 102 130 362
Caustic surfaces, intersections of, with plane of aberration at principal focus 48
Caustic surfaces, of congruence xxvii
Caustic surfaces, partial differential equation of 357
Caustic surfaces, touched by guiding lines 240
Caustic surfaces, touched by guiding lines, virtual 7
Caustic surfaces, virtual 7
Caustic, finding plane system of rays by means of 6
Caustics See also Aretes de rebroussement; Foci
Caustics as aretes of developable pencils 354
Caustics of a given curve 7
Caustics of a given reflecting or refracting curve 102
Caustics paper on ix x xviii xix xxii xxvii 345 462
Cayley 21
Central focus See Focus
Central ray in instrument of revolution 300 366
Centres of curvature 475
Centres of curvature, of ellipsoid, surface of 34 300
Centres of curvature, of undevelopable pencil, surfaces of 7
Centres of deflexure 241
Centres of deflexure, and foci by projection 245
Changes, sudden, in reflection or refraction See Reflection or refraction
Characteristic curve of partial differential equation 99 473 474
Characteristic function, action as xx xxi xxv 8 106 107 111 132 168 295 328
Characteristic function, applied to dynamics and astronomy x xi xxi xxvi 9 301 311 330 484
Characteristic function, applied to physical optics 301
Characteristic function, applied to undulatory theory of light 277 497
Characteristic function, equation of the 107 109 168
Characteristic function, for crystal with two axes 8
Characteristic function, method of the xix xxvi 17 107 145 295 297 311 330
Characteristic function, of extraordinary systems 8 111 168
Characteristic function, of ordinary reflected systems 17
Characteristic function, of ordinary refracted systems 91
Characteristic function, of systems of curved rays 106 111 168
Characteristic function, time of propagation as, xxi 168 277 296 307 329 473 475 489 497
Characteristic functions See also I; Integration; Partial differential equation; S; T; U; V; W
Characteristic functions, changes in, due to reflection or refraction 117 214
Characteristic functions, connections between partial differential coefficients of 112 184 190 199 490
Characteristic functions, deductions of, from each other 174
Characteristic functions, in oblique and curvilinear coordinates 222
Characteristic functions, of single uniform medium 207
Characteristic functions, respective advantages of 174
Chasles xiv
Chromatic aberrations 104
Chromatic aberrations, dependent on 299
Chromatic dispersion 16 232
Chromatic index xxi xxv 168.
Chromatic index in dynamics 484
Chromatic index in wave mechanics 500
Circles of contact on Fresnel's wave 164 283 302
Circles of deflexure 241
Circles, refracting, T for 412
Circular contact, normals of, on Fresnel's wave 283
Circular contact, planes of, on Fresnel's wave 285
Circular image, vertices of 40
Circular profile, surfaces of 103
Clairaut 304
Classification of systems of rays 15
Coddington 509
Coefficient of undevelopability 7 33
Coefficients of longitudinal aberration xxv 160 427 429
Coefficients, partial differential See Partial differential coefficients
Coleridge xiii
Colour, measure of, 168. See also Chromatic index
Coloured systems 9
Coma xxii xxiii xxiv xxvii xxviii 48 378 379 383 406 431 435 457. oblique
Combination of mirrors 37
Combination of reflectors or refractors 93 214
Combination, optical See also Optical instruments
Combination, optical, fundamental problem for 297
Combination, optical, visible magnitudes and distortions of objects viewed through 256
Combinations, compound and component 214
Comet, equations of motion of 331
COMPLEX 242 See
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