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| Fuchs D., Tabachnikov S. — Mathematical omnibus: Thirty lectures on classical mathematics |
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| Предметный указатель |
3-web, hexagonal 250
3-web, rectilinear 250
3-web, trivial 248
Addition of points on cubic curve 252
Affine chart 114
Affine transformation 397
Affine vertex 150
Alexander horned sphere 358
Apparent contour 135 386
Arnold theorem 413
Average absolute curvature 269
Bellows conjecture 347
Beltrami theorem 271
Beltrami — Klein model 271
Berry Law 215 384
Bezout theorem 234
Billiard ball map 377
Binomial coefficients 27
Binormal 210
Bricard octahedron 338
Brown theorem 362
Buffon Needle Problem 267
Cantor set 363
Cardano formula 66
Cardioid 123
Catalan numbers 42
Cauchy Lemma 152
Caustic 140 381 395
Center of curvature 140
Center symmetry set 165
Chappie formula 407
Chasles theorem 386
Chebyshev net 256
Chebyshev polynomials 102
Commutator of loops 87
Complete non-integrability 256
Confocal family of conics 380
Confocal family of quadrics 385 415
Connelly polyhedron 344
Contact structure 256
Continued fraction 11
Convergent 12
Conway tiling group 317
Coriolis force 290
Coulomb law 409
Crofton formula 265
Cross-ratio of four points 271
Curvature of curve 140 209 277
Curvature of polygon 277
Curvature of polyhedral cone 278
Curvature of surface 286
Curvature, radius 140
Cusp 123
Cuspidal edge 190
Cycloid 123
d-web 247
de Moivre formula 70
Dehn invariant 304
Descartes rule 92
Deviation from zero 99
Discriminant 68 117
DNA geometric inequality 269
Double points 167
Double tangent 167 234
Dual curves 112
Dual planes 111
Dual polyhedral cone 279
electrical circuits 322
Elliptic coordinates 385
Envelope 108
Equation solvable in radicals 78
Equiareal tiling 324
Equipartite polyhedra 307
Equipotential surface 409
Euclidean algorithm 14
Euler characteristic 278
Euler formula 278
Euler function 44
Euler identity 43
Evolute 125 140
Extactic points 151
Fabricius-Bjerre formula 168
Fary — Milnor Theorem 268
Fermat principle 377
Ferrand formula 171
Fibonacci number 60
Figure of constant width 267
Finsler geometry 271
Flexible polyhedron 338
fold 208
Foucault pendulum 289
Four Vertex Theorem 125 139
Fourier series 147
Fourier — Budan theorem 97
Free distribution of charge 411
Frenet formulas 438
Front 128
Fundamental theorem of algebra 95
Fundamental Theorem of Ordinary Differential Equations 256
Fuss formula 407
Gauss identity 50
Gauss theorem 181
Gauss — Bonnet theorem 282 288
Geodesic 271 281 288 389
Geodesic curvature 210 288
Geometrical optics 265 377
Ghys theorem 151
Gram theorem 291
Graves theorem 382
Gromov h-principle 370
Hamel theorem 272
Harnack theorem 417
Heron formula 404
Hilbert Fourth problem 270
| Hilbert metric 271
Hilbert Sixteen problem 417
Homeoid 411
Homogeneous coordinates 114
Hurwitz — Borel theorem 10
Hyperbolic geometry 271
Hyperbolic paraboloid 222
Hyperbolic polynomial 97
Immersed disc 181
Incomplete quotients 12
Indicatrix 271
Inflection points 128 167 209
Interior point of algebraic surface 412
Involute 140
Ivory lemma 415
Jacobi identity 51
Jacobsthal theorem 35
Jordan theorem 355
Kirby — Siebenmann theorem 362
Kirchhoff Laws 322
Klein identity 55
Kummer theorem 35
Lagrange multipliers principle 378
Lagrangian 272
Lattice 7
Linear family of quadrics 389
Locally flat surface 363
Long curves 173
Lucas theorem 32
Macdonald identities 57
Malfatti problem 405
Minkowski geometry 272
Moebius band 199 263
Moebius theorem 150
Most elementary theorem of Euclidean geometry 384
Nash — Kuiper theorem 371
Newton polygon 16
One-sheeted hyperboloid 220
Optical property of conics 379
Optical property of parabola 213
Osculating, circle 139
Osculating, conic 150
Osculating, plane 196 210
Outer billiards 157
Pappus configuration 250
Pappus theorem 252
Parallel translation 281
Partition of a number 47
Pascal theorem 252
Pascal triangle 28
Pascal triangle formula 27
Peano curve 364
Pencil of conics 399
Pentagonal numbers 44
permutations 80
Permutations, even 81
Permutations, odd 81
Pick formula 23
Plucker formulas 170
Poncelet grid 401
Poncelet Porism 397
Potential 409
Privileged exponents 55
Projective duality 115
Projective plane 114
Projective transformation 398
Real projective line 151
Regular homotopy 172
Reuleaux triangle 274
Ridge 208
Riemann  -function 59
Riemann hypothesis 59
Riemannian metric 271
Rolle theorem 92 270
Rotation number 177
Schoenflies theorem 356
Schwarzian derivative 152
Semicubic parabola 111 123
Sextactic point 150
Sierpinski carpet 31
Signed tiling 313
Simply connectedness 361
Smale — Hirsch theory 175 371
Steffen polyhedron 345
Steiner theorem 401
String construction 142 379 381
Sturm method 93
Sturm sequence 93
Sturm — Hurwitz theorem 147
Support function 146 267
surface 219
Surface, cubic 233
Surface, developable 185
Surface, doubly ruled 222
Surface, ruled 186 201 220
Surface, triply ruled 222
Swallow tail 115 193
Symmetric polynomials 73
Symmetric polynomials, elementary 73
Symmetry set 149
Tait — Kneser theorem 143
Tangent indicatrix 268
Tarski plank problem 264
Tennis ball theorem 151
Teorema Egregium 288
Third problem 299
Torsion 210
Total absolute curvature 269
Total mean curvature 350
Translation surface 258
Vertex of a curve 139
Weiner formula 170
Whitney theorem 172
Width of a figure 267
Winding number 172
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