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Coxeter H.S.M. Ч Introduction to Geometry
Coxeter H.S.M. Ч Introduction to Geometry

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Ќазвание: Introduction to Geometry

јвтор: Coxeter H.S.M.

јннотаци€:

This unabridged paperback edition contains complete coverage, ranging from topics in the Euclidean plane to affine geometry, projective geometry, differential geometry and topology.


язык: en

–убрика: ћатематика/√еометри€ и топологи€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: Second Edition

√од издани€: 1969

 оличество страниц: 469

ƒобавлена в каталог: 16.04.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$\pi$      38 53 137Ч138 264
$\tau$      161
120-cell {5, 3, 3}      402Ч404 414
16-cell {3, 3, 4}      400Ч402 414
24-cell {3, 4, 3}      402 414
600-cell {3, 3, 5}      402 404 412 414
Abbott, E.A.      397
Abscissa      109
Absolute geometry      175 263Ч287
Absolute polarity      261
Abstract group      32 48
Acceleration      322
Addition      136 138
Aeschylus      10
Affine collineation      see Affinity
Affine coordinates      202 223 339Ч340
Affine geometry      175 191Ч230
Affine reflection      203 207Ч208 225
Affinity      vii 202Ч207 225 441
Algebraic number      138
Alhambra      58
Alias and alibi      111Ч112
Alternating group $A_n$      271
Alternating symbol      341
Altitude of a triangle      17 264
Amplitude of a complex number      141
Analytic geometry      107Ч134 138Ч141 202Ч228 234Ч239
angle      84 95 183 see
Angle of parallelism      291Ч293 303 376Ч377 453
Angular defect      296Ч299
Angular region      183
Anticlastic surface      354
Antihomography      147
Antipodes      92Ч94
Antiprism      149 152
Apollonius of Perga      88 92 103 107Ч108 116 429
Apple core      35
Archibald, R.C.      165
Archimedes of Syracuse      10 107Ч108 164 191 201 215 287
Area      8 53 94Ч95 122 203Ч221 282 295Ч299 346
Areal coordinates      218Ч221 224
Argand, J.R.      135 138
Argument      see Amplitude
Aristophanes      191
ART      57Ч61 229 261
Artin, E.      54 176 191 193 199
Associative law      33
Astroid      115
Asymptote      118
Asymptotic triangle      267 291Ч296 see Trebly
Atoms in a crystal      332 408
Automorphism      200 386
Axes of a conic      117
Axioms      4 177 178 184 187 192 288 see Continuity Incidence Order
Bachmann, F.      40 41 43Ч46 94 229 260 295
Bahai Temple      35
Baker, H.F.      115 243 262 427
Ball bearings      410
Ball, W.W.R.      28 65 141 149 150 160 168 237 388 390 392 395 397 408 411 457
Bankoff, L.      9 24
Barlow, W.      60 65 279 408
Barrow, D.F.      419
Barycentric coordinates      216Ч221 235 445
Basis for a lattice, or for a vector space      226 307 328
Beecroft, P.      vii 14 421
Beehive      62 406
Beetles      59
Bell, E.T.      94 107 125 152 181 361
Bell, R.J.T.      130Ч133
Beltrami, E.      289 368 376
Bend      15 314
Bennett, G.T.      27
Bernal, J.D.      410Ч412
Bernoulli, J.      114 119 125
Bible      11 41 397
Bilinear form      251 330
Bimedians of a quadrangle      199
Binary quadratic forms      119
Binet, J.P.M.      167
Binomial coefficients      168 183 186
Binormal      322
Birkhoff, G.      31 140 144 199 236 307 320
Bisection of a segment      196
Bitangent plane of a torus      133
Blake, W.      30
Blaschke, W.      83 131 191 216 382
Blum, R.      89 114
Bocher, M.      84
Body-centered cubic lattice      334
Bol, G.      382
Bolyai, J.      175 187 263Ч267 287 293Ч296 304
Bolzano, N.      285
Bonola, R.      187 294 296 303
Borsuk, K.      289
Botany      169Ч172
Bottema, O.      24 419
Bounded surface      383
Brabant, H.      9
Bradwardine, T.      37
Brahana, H.R.      385
Braikenridge, W.      254
Bredwardin      see Bradwardine
Brewster, Sir David      35 64 119 279
Brianchon, C.J.      254Ч255
Bricard, R.      24
Brooks, R.L.      390
Brueckner, M.      154
Buchanan, R.      11
Buerger, M.J.      225Ч228 332Ч334
Burckhardt, J.J.      278Ч279
Burnside, W.      64 282 302
Busemann, H.      189
Bussey, W.H.      237
Butler, S.(the elder)      203
Butler, S.(the younger)      401
Cake and icing      38
Calculus      20 120Ч126 312Ч326 371Ч376
Cannon balls      408Ч411
Cantor, G.      137 187
Caravelli, V.      386
Cardioid      114 119
Carroll, Lewis      4 26 39 45 50 67 137 150 387 389
Carslaw, H.S.      267Ч268 287Ч295 376
Cartesian coordinates      43 108Ч110 158Ч159
Casey, J.      16 74 75 92
Categorical system      287 289
Catenary      317Ч321
Cayley, A.      230
cell      186 see
Center of a conic      117
Center of curvature      314
Center of similitude      70Ч71 101
Central conies      112Ч113 117
Central dilatation      194
Central inversion      98 277
Central projection      93
Centroid      10 109 214Ч217
Ceva, G.      191
Cevian      204
Characteristic      see Euler Ч Poincare
Characteristic tetrahedron $O_1O_2O_3O_4$      155
Chasles, M.      96 249 452
Chepmell, C.H.      24
Chessboard      50 411
Chilton, B.L.      402Ч403
Christoffel, E.B.      366Ч375
Church, A.H.      169 172
Ciamberlini, C.      421
circle      14 132Ч133 262 300
Circle of Apollonius      88Ч89
Circle of curvature      314
Circle of similitude      90
Circle-preserving transformation      91 146 290
Circular helix      170 323Ч325
circumcircle      12 262
Circumradius      155Ч157
Circumsphere      155 273
Clemens, S.L.      see Twain
Clifford, W.K.      72 262
Close packing of spheres      405Ч412
Coaxal circles      85Ч89 114
Coaxal equidistant curves      300
Coe, C.J.      310
CohnЧVossen, S.      53 54 83 101 148 152 234 355 363 365 369 382 384 402 406Ч408
Colatitude      343
Coleman, A.J.      354
Collinear points      65 178
Collineation      247 see Equiaffine Perspective Projective
Combinatorial topology      379Ч395
Common parallel      292
Common perpendicular      293
Commutative law      237 269
Compasses      79
Complete K-point      389
Complete quadrangle      19 230
Complete quadrilateral      231
complex numbers      135Ч147
Compound interest      127
Compound polyhedron      158
Concentric horocycles      300 378
Concho-spiral      172 326Ч327
Cone      129Ч130
Configuration      233 237Ч239
Confocal quadrics      340 362Ч363
Conformal geometry      84 92
Conformal models of hyperbolic geometry      289 302Ч304
Conformal transformation      145Ч147 203
Congruence      5 198 263Ч268
Congruent transformation      see Isometry
conic      115Ч118 252Ч255 260
Conjugate axis of a hyperbola      117
Conjugate complex number      142
Conjugate hyperbolas      364
Conjugate lines, points      248
Consistency      229 287Ч290
Continued fraction      146
Continuity      5 103 187
Contravariant components      329
Convexity      53 148 183Ч186
Coordinate transformation      111Ч119 218Ч219
coordinates      see Affine Areal Barycentric Cartesian Cylindrical General Homogeneous Polar Tangential
CopenhagenТs Stock Exchange Building      327
Correlation, projective      248
Correspondence      see Transformation
Corresponding points on parallel rays      266
cosh      118 124
Cotes, R.      144
Courant, R.      23 79 123
Court, N.A.      9 10 12 17 23 69 70 71 89
Covariant components      329
Cox, Homersham      258Ч262
Cramer, G.      330
Critical lattice of a sphere      335Ч337
Cross-cap      383Ч385
Crowe, D.W.      294
Crystal classes      278Ч279
Crystallographic restriction      60Ч61 444
Crystallography      50Ч61 225Ч228 278Ч280 332Ч334 413
Cube {4, 3}      4 149Ч151
Cubic close packing      407Ч411
Cubic graph      see Trivalent
Cubic honeycomb {4, 3, 4}      399 407 414
Cundy, H.M.      28 165
Curvature      15 314 322 see Circle Normal Principal
Cyclic group $C_n$      32 270
Cycloid      49 317 319
Cyclotomy      26Ч28 141Ч142 443
Cylinder      129Ч130
Cylindrical coordinates      323 337Ч338
D-stix Pre-engineering Kit      412
Dandelin, G.P.      260
Danese, A.E.      168
Darboux, G.      321 324Ч326 361
Darwin, C.      407
Davenport, H.      335
Davis, R.F.      24
De La Vallee Poussin      see La Vallee Poussin
de Moivre, A.      141
De Morgan, A.      390
de Sitter, W.      299
Decagram {10/3}      37
Dedekmd, R.      187 200 201
Definite quadratic form      119
Degenerate conic      255
Degree of a graph      see Valency
Dehn, M.      180
Deltoid      115
Dempster, A.P.      335
Denk, F.      39
Density of a polygon      36 38
Derivative of a vector      312
Desargues, G.      93 192 229 238Ч240
Descartes, R.      vii 108 125 154 422
Developable surface      354
Diagonal points      19
Diameter of a horocycle      300
Differential geometry      307Ч378
Digon {2}      37
Dihedral angle      35 150 157 400 413
Dihedral group $D_n$      32 271
Dihedron {p, 2}      282 386
Dilatation      68 79 101 110Ч111 136 193Ч203 399
Dilative reflection      72Ч76 110Ч111 147
Dilative rotation      72Ч76 101Ч104 111 125 133 139 145 164Ч165 317 326Ч327
Dipyramid      150 280
Direct isometry      39 96Ч101 269
Direct product of groups      49
Direct similarity      72Ч74
Direction cosines      128
Directly congruent figures      39
Directly similar figures      73
Directrix      116
Dirichlet region      53Ч57 169Ч170
Dirichlet, G.L.      54 334
Discrete group      283
Disk      385
Displacement      107 see
Dissection      152
Distance      220
Distributive law      309Ч310
Djordjevic, R.Z.      419
DNA      278
Dodecagram {12/5}      37
dodecahedron      see Regular dodecahedron Rhombic
Dodgson, C.L.      6 295 387 see
Dominoes      60
Donchian, P.S.      402 404
Donkin, W.F.      269 299
Dorrie, H.      211Ч212
Doubly asymptotic triangle      294Ч299
Dual bases for a vector space      328
Dual maps      379 386
Duality      see also Reciprocal polyhedra
Duality, projective      231Ч233 256
Duality, topological      386
Dudeney, H.E.      27
Duerer, A.      229
Dupin, C.      361Ч365
DupinТs indicatrix      363Ч365
Eccentricity      116
1 2 3 4
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