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| Coxeter H.S.M. — Introduction to Geometry |
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| Предметный указатель |
Edmonds, J.R. 388—389
Egyptian icosahedral dice 149
Eight-color problem 395
Einstein, A. 176 299
Elation 247 251
Electromagnetic theory of light 256
Element of arc 121
Elements of Euclid 3 175
Elements, the four 4
ellipse 94 116 118
Elliptic geometry 94—95 375 386
Elliptic paraboloid 130
Elliptic polarity 252
Elliptic projectivity 244
Enantiomorphism 276—279
End of a line 266
Enneagon {9} 25 28
Enoch 41
Envelope 252 315
Ephesians 397
Epicycloid 114
Equation, of a circle 43 110 113
Equation, of a conic 116—119
Equation, of a line 108
Equiaffinitv vii 206—208 225 442
Equiafime collineation see Equiaffinity
Equiangular spiral 125—127 142 165 316
Equidistant curve 300
Equidistant surface 303
Equilateral triangle {3} 22—26
Equivalent polygons 204
Erdos, P. 9 65 212 419
Erlangen program 67 191 203 380
Escher, M.C. 57—59 63
Escribed circles 12
Euclid of Alexandria 3 107 116 154 175 176 192 202 229 263—264
Eudoxus 201
Euler line 17 18 20 119
Euler — Poincard characteristic 373
Euler, L. 17 98 135 140—143 152—153 175 191
Euler’s formula for normal curvature 365
Euler’s formula for V-E+F 152—154 399
Eustace, R. 279
Even permutation 270
Evolute 123 315
Excircles 12 114
Exponential series 143
Extreme and mean ratio 160
Extremum 20—22
Face-centered cubic lattice 333—337
Fagnano, J.F.T.di 20—21 177 264 452
Fano, G. 231—238
Farey, J. 208—211
Fedorov, E.S. 50 279
Fejes Toth, L. 276 396 407 408 419
Feje’r, L. 20
Fermat point 22
Fermat primes 26—28
Fermat, P. 21 26 108 264
Fibonacci numbers 160 165—172
Field 230
Fifth postulate 4—5 263 288 303
Finite projective geometries vii 233—238 242 255 261
Finn, Huckleberry 393
First rational plane 228
Flatland 397
Focal polygon 442
Focus 116
Ford, L.R. 91 146—147
Forder, H.G. 74 87 123 176 179—188 193 203 222—224 256 262—264 307 322 342 351 352 362 420
Fortunatus’ purse {4, 3}/2 387
Foss, V.W. 216
Four-color problem 389—390
Four-dimensional geometry 396—104 414
Fractions 137 200
Franklin, P. 394
Frenet, F. 322
Freudenthal, H. 152
Fricke, R. 50
Frieze patterns 47—49
Froth 409—412
Frucht, R. 388
Fundamental group of a surface 382
Fundamental magnitudes of the first order 344
Fundamental magnitudes of the second order 350
Fundamental region 52 58 281—285
Fundamental theorem, of algebra 144
Fundamental theorem, of projective geometry 244
Gallai, T. 65
Gallucci, G. 257
Galois, E. 144
Gardner, M. 132 152 410
Gauss, C.F. 26 28 53 135 138 144 187 189 263—266 296—303 337 366—375 443
Gaussian curvature 352—356 375
General coordinates 337—341
Generators, of a group 32
Generators, of a ruled surface 131
Genesis 41 175
Genus of a surface 381
Geodesic polar coordinates 370—376
Geodesies 366—378
Gergonne, J.D. 71 248
Gibbs, J.W. 307
Girard, A. 95
Glide reflection 43 99 110 145
Gnomonic projection 93 95
God 41 77 164 222
Goedel, K. 288
Goethe, J.W. 169
Golden rectangle 162—164
Golden section 160—172
Golden spiral 164—165
Gosset, T. 402
Gould, S.H. 238 261 380
Graph (or one-dimensional complex) 382 389
Grassmann, H. 307
Graustein, W.C. 94
Graves, J.T. 446
Great circle 93
Greek mathematics 10 107 115 191 263
Greitzer, S.L. 9 429
Grossman, H.D. 24
Group 31 194 202 see Alternating Cyclic Dihedral Icosahedral Octahedral Permutation Polyhedral Tetrahedral
Gruenwald, T. see Gallai
Gudermann, C. 319
Guthrie, F. 390
Hales, S. 409
Half plane 183
Half-turn 30 98 196
Handle added to a surface 380
Hardy, G.H. 10 20 27 46 52 60 61 65 137 139 140 144 208—210 226
Harmonic conjugate 241—242
Harmonic homology 248 290
Haros, C. 212
Hart, H. 83
Hartley, M.C. 402
Heaslet, M.A. 228
Heath, T.L. 3 152
Heawood, P.J. vii 379 388—395
Helicoid 323 359
Helix, circular 170 323—325 412
Helix, general 325—327
Helmholtz, H.von 29
Hermathena 11
Hermes, J. 27
Heron of Alexandria 12
Hesse, L.O. 251
Hessenberg, G. 238 329
Hexagon 53 79 230
Hexagonal close-packing 408
| Hexagramme mystique 260
Hexlet 92
Hilbert, D. 53 54 83 101 148 152 176 234 237 263 293 355 363 365 369 382 384 402 406—408
Hilton, H. 279
Hjelmslev, J.T. 46—47 199 269
Hobson, E.W. 124
Hofmann, J.E. 21 39
Homo sapiens 278
Homogeneous coordinates 217 235
Homogeneous equation 129
Homography 146
Homology 247 251
Homothecy or homothety see Dilatation
Homothetic figures 68 198
Horocycle 300
Horosphere 303
Hosohedron {2,p} 386
Hyperbola 116 119 125 see
Hyperbolic functions 118 122
Hyperbolic geometry 263—303 375—378
Hyperbolic involution 246
Hyperbolic paraboloid 130 359
Hyperbolic polarity 252
Hyperbolic projectivity 244
Hyperbolic rotation 206
Hyperboloid 130 134
Hypercube {4, 3, 3} 398 414
Hyperplane 186
Hyperspace 185—186
Hypocycloid 114
i see Central inversion
Icosahedral group  273
Icosahedron {3, 5} 4 149—151 162—163 432
Ideal elements 83 93
Identity, the 29
Image, reflected 7
Incenter 12 265
incidence 230
incircle 12
Indefinite quadratic form 119
Index of a subgroup 199
Indicatrix of Dupin 363—365
Infeld, L. 144 213
infinity 83 93 116
Inflectional tangents of a surface 354
Initial line 110
Inner product of vectors 308
Inradius 12 155—157
Insphere 155
INTEGER 136
Integral curvature of a geodesic triangle 372
Intermediacy 5 176 266
Intersecting pencil of coaxal circles 85
interval 178
Intrinsic geometry on a surface 375
Invariant 29 69
Inverse 29 78
Inversely similar see Oppositely similar
Inversion, central 98
Inversion, in a circle 77—91 114 142 145 283—286
Inversion, in a sphere 91—93 104
Inversive distance vii 90 303 453
Inversive plane 84
Inversive space 92
Involute 316
Involution 245—247
Irrational number 4 137 200
Isometric representation 303
Isometry 29 39—64 96—101 110 268—277 413
Isosceles triangle 6 16
Jacobi C.G.J. 339
James, R.C. 385
Janic, R.R. 419
Jeffreys, H. 328 341
Johnson, R. 16 75 92
Jones, O. 58
Jordan, C. 50 279
Kaestner, A.G. 127
Kaleidoscope 35 279—284
Kanagasabapathy, P. 27
Karamata, J. 65
Kasner, E. 143
Kelly, L.M. 65—66 181
Kelvin, Lord 101 405
Kempe, A.B. 390
Kepler, J. 37 61 93 115 158 160 165 166 229 399 408
Kerekjarto, B. 263 265
Kinematics 321
Kiss Precise 15
Kitrosser, I. viii 406
Klein bottle 384—385 388—389 394 395
Klein, F. 17 50 67 139 191 202 263 275 289—290 377 380 390
Knights 57
Krasnodebski, R. vii 434
Kreyszig, E. 307 321 329 346 355
Kronecker, L. 328 341
La Vallee Poussin, C.J.de 362—364
Lachlan, R. 74 76
Ladder problem 144
Lagrange, J.L. 310 355 356
Lagrange, R. 104
Lamb, H. 83 98 115 123 269 299 316—320
Lambert, J.H. 299
Latin squares 234
Latitude 343
Lattice 51—65 169 200 202 208—212 225—228 332—337
Latus rectum 116
Leaf arrangement 169—172
Lefschetz, S. 385
Legare, J.M. 33
Lehmus, C.L. 9 420
Leibniz, G.W. 108 186 221
Leisenring, K.B. 181 190
Lemniscate 114 119
Length, of a segment 201 264 308
Length, of an arc 119—121
Lens 273—274
Leonardo da Vinci 35 150 162 164 229
Leonardo of Pisa, or Fibonacci 165—166
Level curves and level surfaces 338
Levi, F.W. 152
Lie, S. 247
Liebmann, H. 295
Limacon 119
LIMIT 47 187
Limiting points of a nonintersecting pencil of coaxal circles 87
Lindsay, J.H.Jr. 298 382
Line at infinity 93 229
Linear equation 108 202 219 235
Linear fractional transformation 146
Lines of curvature on a surface 352
Liouville, J. 362 367 377
Liquid 410—411
Littlewood, J.E. 10 116
Lobachevsky, N.I. 187 263—265 291 299 304 377
Lockwood, E.H. 321
Logarithm 116 317
Logarithmic spiral 125
Longuet—Higgins, M.S. 37
Lorentz transformation 206
Loxodrome 127
Lucas, E. 166 168
Luetkemeyer, G. 377
Lune 95
Luxemburg, W.A.J. 23
Macbeath, A.M. 53
MacDuffee, C.C. 135
MacLane, S. 31 140 144 199 236 307 330
Maclaurin, C. 254 363 370
Magnus, L.J. 77
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