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| Hamilton W.R. — The collected mathematical papers. Volume 1: geometrical optics |
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| Предметный указатель |
Focal systems, osculating 125 478
Foci by projection 7 135 240 241 245
Foci for oblique indiametral rays 444 445 447 448 450 452 453
Foci of greatest and least focal refractors 92
Foci of greatest and least osculating mirrors 28
Foci of mirror for parallel incident rays 23 28 99
Foci of osculating systems 126 479
Foci on ray See also Caustic curves; Caustic surfaces; Focal distances; Focal lengths; Intersections of consecutive rays; Points of vergency
Foci on ray in general system 355
Foci on ray in ordinary system 19 33
Foci, first and second, in instrument of revolution 366
Foci, osculating 30 35
Foci, osculating, extreme 274 480
Foci, principal, in developable systems 7
Foci, principal, in extraordinary systems 130 134 241 275 495
Foci, principal, in general systems 362
Foci, principal, in ordinary systems 34 92
Foci, principal, in plane systems 6
Foci, principal, in uniaxal crystal 8
Foci, principal, of instrument of revolution, for oblique rays 300 366 377
Foci, virtual, extreme 140
Foci, virtual, extreme, planes of See Planes of extreme virtual foci
Foci, virtual, in extraordinary systems 135 138
Foci, virtual, in general systems 7
Foci, virtual, in normal congruences xxii
Foci, virtual, in ordinary systems 33 35
Foci, virtual, in undevelopable systems 7
Foci, virtual, principal 7
Focus (one of two on ray), density at 82
Focus (one of two on ray), density on plane of aberration through 53 54 58
Focus (one of two on ray), lateral aberration from xxii 42
Focus, central, of instrument for oblique rays 366 453
Focus, central, of instrument of revolution 159
Focus, extraordinary, of lens of uniaxal crystal 338
Focus, primary 431
Focus, primary, curvature of locus of 432
Focus, principal, aberrations near 275
Focus, principal, density at 83 85 143
Focus, principal, ellipse of aberration at xxii 47 83 86
Focus, principal, ellipses of constant density at 85
Focus, principal, hyperbolas of constant density at 86
Focus, principal, lateral aberrations from xxii 46 83 141
Focus, principal, lateral aberrations from, conditions of vanishing 49
Focus, principal, longitudinal aberrations from 159
Focus, principal, natural axes at 85 143
Focus, principal, of instrument of revolution 159 457
Focus, principal, shape of caustic surface near 366
Focus, prismatic 306
Focusof general system of rays 346
Focusof instrument of revolution for direct rays 376
Focusof system of refracting surfaces of revolution close together 429 431
Focusof thick lens 395
Formula, fundamental, of dioptrics 89
Formula, fundamental, of mathematical optics See Fundamental formula
Formula, fundamental, of optical systems 109
Forsyth 475
Fraunhofer's Condition 429
Frequency, chromatic index as 500
Fresnel 164 165 280 281 283 288 314 341 343
Fresnel's wave See Wave
Fresnel, undulatory theory of 165 280 285 288 302 314 330
Function, characteristic See Characteristic function
Functions, Conjugate xi
Functions, Fluctuating xi
Fundamental formula of dioptrics 89
Fundamental formula of mathematical optics 168 174 295
Fundamental formula of mathematical optics, for oblique and curvilinear coordinates 222
Fundamental formula of mathematical optics, in undulatory theory 277
Fundamental formula of optical systems 109
Fundamental problem of mathematical optics 169
Fundamental problem of optical instruments 297
Galileo 311
Gauss 395
General media See Media
General Method in Dynamics xi 301 485
General systems of rays 1 6 345
Geometrical application of V and W xxvi 304 475
Geometrical aspects xxi
Geometrical construction for reflected or refracted rays 293 302
Geometrical density xxv 87
Geometrical illustrations of condition of intersection of ray-lines 253
Geometrical nets in space xi
Geometrical relations of infinitely near rays 227
Gergonne 463 464
Goursat 349 466 474
Graves, Charles v ix
Graves, John xi
Graves, R. P. v xvi xvii 88 462 464 506
Group velocity 500
Group-point 501
Guiding axes, conjugate 232
Guiding lines 44 238
Guiding paraboloid 232 238 241
Guiding paraboloid, removed 248
Guiding planes 232
Guiding surface 235
Hamilton, Archibald ix
Hamilton, James ix
Harmonic section of bounding pencil of vision 32
Harte x 462
Heart-shaped curve or pycnoid 62 83
Hedrick 349 466 474
Hemans, Mrs xiii
Hemisphere, reflecting, longitudinal aberration of 390
Hemisphere, refracting or reflecting, T for 389
Hemispheres, two, focal centres, power, and focal length of 397
Herschel 162 163 341 384 407 442 443 448 451 454
Herschel, second condition of aplanaticity of 376 385 386 432 437 439 454
Herzpeld 502
Heterogeneous media See Media
History of optics xxvi 311
Homogeneous media See Media
Homogeneous systems of rays 111
Homogeneous transformations of W and T 198 205
Hour-glass curve of aberration xxii 44
Huygens or Huyghens xxi 8 293 302 312 314 315 317 463 464 479 487
Huygens, theorem of 315 330 334 464. theorem
Huygens, undulatory theory of 313
Hyperbolas of constant density at principal focus 86 143
Hyperboloid mirror of revolution 11
Hyperboloid, osculating, for ray-lines from oblique plane 248
Hypothesis of molecular emission 107. See also Emission theory
Hypothesis of undulation 107. See also Undulatory theory; Wave theory
I, characteristic function 106
Iceland spar 302 312
Image in instrument of revolution 421 509
Image lines 44. See also Focal lines; Guiding lines
Image of a point after reflections or refractions 94
Image of planet 37 94 420
Image of star in uncentred telescope 368
Image, circular, vertices of 40
Image, prismatic 306
Image, undistorted, of small plane object 39
Image, visible, of luminous point 32
Imagery, defects of See Aberrations; Aplanaticity; Astigmatism; Coma; Curvature; Distortion
Images and focal centres xviii 421 509
Images formed by mirrors 37
Images, theory of 446
Imaginary logarithms xi
Index, chromatic See Chromatic index
Index, refractive 146 316 324.
Indiametral aberration 454
Indiametral rays See Rays indiametral
Indicating cylinder of deflexion 241
Inductive method 314
Inflection, directions of focal, on mirror 51
Inflexion, directions of spheric, on surfaces cutting rays perpendicularly 48 87
Inflexion, lines of 7
Ingleby v
Insolubility of equations of the fifth Degree xi
| Instrument of revolution xxiii. See also Aplanaticity; Astigmatism; Coma; Curvature; Distortion; Lens; Object glass; Surfaces of revolution
Instrument of revolution,  for xxvii xxviii 298 396 397 434 455 508 512
Instrument of revolution,  for xxvii xxviii 298 434 455 509 513
Instrument of revolution, aberration coefficients for xxvi 298 512
Instrument of revolution, aberrations of xxiii xxvi xxvii 299 366 376 383 457 488 508
Instrument of revolution, cardinal points of 508. See also Focal centres; Nodal points; Principal points
Instrument of revolution, caustic surfaces for 300 364 366
Instrument of revolution, central focus of 159 366 453
Instrument of revolution, central ray in 300 366
Instrument of revolution, construction for emergent ray in 398
Instrument of revolution, ellipsoid normal to rays emerging from 300 503
Instrument of revolution, equations of ray in See Equations
Instrument of revolution, exdiametral rays in 299 364 367 376 383 457 506 509
Instrument of revolution, first and second foci of 366
Instrument of revolution, focal lines in 378 383 385 457
Instrument of revolution, focus of, for direct rays 376
Instrument of revolution, general theory of 298
Instrument of revolution, image formed by 421 509
Instrument of revolution, intention to treat of 165 277
Instrument of revolution, longitudinal aberration of 159
Instrument of revolution, oblique indiametral rays in 407—454
Instrument of revolution, parallel rays incident on 364 376 383 429 457 508
Instrument of revolution, principal axes in 366
Instrument of revolution, principal foci of, for oblique rays 300 366 377
Instrument of revolution, principal focus of 159 457
Instrument of revolution, principal rays in 300 366 377
Instrument of revolution, rays symmetrical about axis of 155
Instrument of revolution, T for xxiii xxvi xxvii 298 376 412 434 455 503 508 512
Instrument of revolution, V for xxvii 155 298 364
Instrument of revolution, W for xxvii 155 364 515
Instrument of revolution, with three refracting media 420
Instruments, optical, fundamental problem of 297
Integrability of equation of focal mirrors 11
Integrability of equation of focal refractors 90
Integral of action See Action
Integrals of equations of motion of system of bodies xi
Integration of differential equations of rays 172
Integration of partial differential equation for V xx xxv 145 146 153 155 178 364 473
Intensity of light different from geometrical density 87
Intention of Hamilton to treat of instruments of revolution 165 277
Interchangeability of eye-axes and object-axes of distortion 256
Interference 296
Interference, prismatic xxvi 305 307 310
Intermediate variables, elimination of, in calculation of T 217 370 408 413 493 507
Intersection of caustic surfaces 7 34 83 92 102 130 362. principal
Intersection of sheets of surface of centres of ellipsoid 34 300
Intersection of surfaces of constant action 270
Intersections of consecutive rays or ray-lines 238 252 253 270 347 354.
Intersections of indiametral rays 444 446 447 450 453
Intersections of rays at finite distances 363
Intersections, virtual, of rays 139
Isoplatal surfaces 7
Isotropic media See Media
Julia 345
Kant xiii
Klein 487 488
Kummer xxii
Lagrange xviii 315 317 504
Lagrange, theorem of 154
Lancret 103
Laplace 10 316 317 464
Laplace, theorem of 70 82 145 148 149 466
Lardner x 462
Lateral aberration See Aberration
Law of rectilinearity 411
Laws of least, stationary and varying action See Action
Laws of reflection and refraction, ordinary and extraordinary 118 214.
Least action See Action
Least time See Fermat
Legendre, transformation of 474
Leibnitz 317
Length of path of light measuring action 10
Length, line of stationary 319
Lens, double See Lenses two;
Lens, thick, for xxvii 394 396 410 419
Lens, thick, for xxvii 400 401
Lens, thick, aberration coefficients for 401
Lens, thick, focal centres of 395 410 419 509
Lens, thick, focal length of 395
Lens, thick, focus of 395
Lens, thick, power of 395
Lens, thin, and for 375
Lens, thin, aberration coefficients for 375
Lens, thin, longitudinal aberration of xxv 162 427 443
Lens, thin, of uniaxal crystal xxvi 336
Lens, thin, power of 365 370 423
Lens, thin, refraction through 162 365
Lens, thin, T for xxvii 369
Lens, thin, V for xxvii 365
Lens, thin, W for xxvii 365
Lenses See also Object glass; Surfaces of revolution
Lenses (thin and close together), for 371
Lenses (thin and close together), for 373 405
Lenses (thin and close together), aberration coefficients for 373
Lenses (thin and close together), condition of direct aplanaticity for 406 429 435 437 438 440
Lenses (thin and close together), condition of oblique aplanaticity for 405 406 429 435 437 440
Lenses (thin and close together), curvature of locus of primary focus for 432
Lenses (thin and close together), longitudinal aberration of 428 443
Lenses (thin and close together), T for xxvii 369
Lenses (thin and close together), V for 369
Lenses, convergence of system of 423
Lenses, of biaxal crystal 293
Lenses, piano-spheric, combination of 397
Lenses, spheric, aberrations and caustic surfaces of 364
Lenses, two (thick), for xxiv xxvii 396
Lenses, two (thick), for xxiv xxvii 402 458
Lenses, two (thick), aberration coefficients for 459 460
Lenses, two (thick), focal centres of 397
Lenses, two (thick), power of 397
Levi-Civita 90 487
Lie 487
Light, history of theory of 311
Light, propagation of See Propagation; Emission theory; Ray; Undulatory theory; Wave
Liinacon 380
Limit points of congruence xxii 140.
Limiting curve for general system of rays 349 504
Limiting lines of aberration 47
Limiting surface for general system of rays 358
Line of focal curvature 102
Line of stationary length 319
Line transition, on reflector or refractor 275
Lines of curvature 19 95 96 274 475.
Lines of curvature, coincident 97
Lines of equal and opposite curvature 7
Lines of extraordinary refraction 8
Lines of inflexion 7
Lines of reflection xxiv 24 94
Lines of refraction xxv 92 94
Lines of single normal velocity 280 283
Lines of single ray-velocity 280 283
Lines of uniform condensation or density at principal focus 86 143
Lines of vibration on Fresnel's wave 288
Lines, deflected 241
Lines, focal See Focal lines; Guiding lines
Lines, guiding 44 238
Lines, image 44. See also Guiding lines
Lines, limiting, of aberration 47
Lines, separating, on reflector or refractor 275
Lister 48
Lloyd, B. x xiv
Lloyd, H. x 164 165 303 312 330
Logarithms, imaginary xi
Longitudinal aberration See Aberration
Lovett 487
M, constant, connected with aberrations 429 433 441 442 443 447 451 452
MacCullagh ix xii 164 292 303 330 342 343
MacDonnell x 462
Magnifying power of instrument of revolution dependent on 299
Magnitudes, visible, of small objects, viewed from each other 256
Malus, Hamilton's corrections of xxvi 1 52 97 315 339 464
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