Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Hamilton W.R. — The collected mathematical papers. Volume 1: geometrical optics
Hamilton W.R. — The collected mathematical papers. Volume 1: geometrical optics

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The collected mathematical papers. Volume 1: geometrical optics

Автор: Hamilton W.R.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1931

Количество страниц: 534

Добавлена в каталог: 03.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$T^{(2)}$ for instrument of revolution      xxvii xxviii 298 396 397 434 455 508 512
$T^{(2)}$ for reflector or refractor of revolution      391 409
$T^{(2)}$ for refracting sphere      395
$T^{(2)}$ for system of refracting curves      417
$T^{(2)}$ for system of refracting surfaces of revolution (close together)      417—420 423 426 431 434 455
$T^{(2)}$ for thick lens      xxvii 394 396 410 419
$T^{(2)}$ for thin lens      375
$T^{(2)}$ for thin lens, of uniaxal crystal      337
$T^{(2)}$ for two thick lenses      xxiv xxvii 396
$T^{(2)}$ for two thin lenses (close together)      371
$T^{(2)}$, cardinal forms for      509
$T^{(4)}$ for instrument of revolution      xxvii xxviii 298 434 455 509 513
$T^{(4)}$ for reflector or refractor of revolution      391
$T^{(4)}$ for system of surfaces of revolution (close together)      426 431 433 434 455
$T^{(4)}$ for thick lens      xxvii 400 401
$T^{(4)}$ for thin lens      375
$T^{(4)}$ for thin lens of uniaxal crystal      337
$T^{(4)}$ for thin system      xxviii. See also $T^{(4)}$ for system of surfaces
$T^{(4)}$ for two thick lenses      xxiv xxvii 402 458
$T^{(4)}$ for two thin lenses (close together)      373 405
$T^{(4)}$ for uncentred telescope      368
$\chi$, chromatic index or measure of colour      See Chromatic index
$\omega$      See Medium-function $\Omega$
$\sigma$, $\tau$, $\upsilon$      169 324
$\sigma$, $\tau$, $\upsilon$ as components of normal slowness in undulatory theory      172 277 301 327 497
$\sigma$, $\tau$, $\upsilon$, sudden changes in, in reflection or refraction      118 215 285 301 325 329
$\upsilon$, connections of partial differential coefficients of, with those of v and $\Omega$      207. See also $\sigma$
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 $T^{(2)}$      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 $T^{(2)}$      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 $T^{(2)}$      299
Chromatic dispersion      16 232
Chromatic index $\chi$      xxi xxv 168.
Chromatic index $\chi$ in dynamics      484
Chromatic index $\chi$ 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, $\chi$      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
1 2 3 4 5 6
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте