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| Авторизация |
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| Audin M. — Geometry |
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| Предметный указатель |
Form, fundamental 287
Form, fundamental (first) 288
Form, fundamental (second) 287
Form, homogeneous 185
Form, polar 225
Form, quadratic 43 225 283
Form, quadratic (positive definite) 43
Form, symmetric bilinear 43 225
Formula of Euler 123 293
Formula of Girard 121 293
Formula of spherical trigonometry 138
Formula of Taylor 259 283
Formula to compute the cross-ratio 162
Formula, class 140
Formulas of Frenet 265
Frame, affine 12
Frame, projective 157 178
frenet 265
Function, holomorpic 165
Function, implicit 247 277 281
Function, scalar of Leibniz 60
Fundamental first form 287
Fundamental second form 287
Fundamental theorem 41 179
Gauss 229 285 291 293
Gauss, curvature 287
Gauss, mapping 286
Generated affine subspace 11
Generated projective subspace 147
Geodesic 300
Geometric surface 272
Geopolitical 135
Gergonne 134
Girard 121 293
Glide reflection 77 116
Global property 248 293
Golden number 139
Gram 62
Gram — Schmidt orthonormalization process 62
Grassmann 177
Grassmannian 177
Great circle 120
Group of a polyhedron 130
Group of dilatations 35
Group of isometries 44
Group of isometries of a figure 99 100 106 132 133 263
Group of Lorentz 63
Group of projective transformations 156 165
Group of similarities 80
Group of the cube 133 141
Group of the dodecahedron 139 141
Group of the tetrahedron 133 141
Group, action 2 40 190 204
Group, affine 19 40
Group, affine (of the line) 35
Group, alternating 106 130 133 140
Group, circular 167 224
Group, cyclic 130 132 140
Group, dihedral 130 132 141
Group, linear 19 63
Group, operation see "Group action"
Group, orthogonal 52
Group, projective 156 165 204
Group, simple 137
Group, symmetric 130 133
Hahn 136
Half-plane 36 39 59
Half-plane of Poincare 181 293
Half-turn 115
Harmonic, pencil 172 219
Harmonic, range 164
Heart 254 263
Helicoid 296 300
Helix, circular 265
Hexagon 137 182 209 243
Hexagram, mystic 209
hilbert 7 238
Hobson 135
Holomorphic function 165
Holomorphic mapping 111
Homogeneous coordinates 157 179
Homogeneous form 185
Homography 155 159 165 208
Horse saddle see "Mountain pass"
Hull, convex 29 122
Huygens 257 274
Hyperbola 190 211
Hyperbola, rectangular 193
Hyperbolic distance 181
Hyperbolic geometry 182
Hyperbolic paraboloid 214 234 271
Hyperbolic plane 182
Hyperbolic point 283 290
Hyperbolic triangle 182
Hyperboloid 269
Hyperboloid of one sheet 214 296
Hyperboloid of revolution 296
Hyperboloid of two sheets 214
Hyperplane at infinity 149 160
Hyperplane, polar 203
Hyperplane, projective 145 146
Hyperplane, tangent 201
Hypocycloid 253 264
Hypocycloid, three-cusped 1 253 263 265 267
icosahedron 129
Image of a quadric 185
Incenter 98
incircle 98
Inequality of Cauchy and Schwarz 44 58
Inequality of Ptolemy 108
Inequality, isoperimetric 248
Inequality, triangle 44
Inequality, triangular (on the sphere) 138
Inertia law 228
infinity 91 148 150 159 164 221
Inflexion point 259
Inradius 110
Integral, elliptic 339
Internal bisector 71
Intersecting pencil 94
Intersection of a plane and a cone 238
Intersection of a quadric and a line 186
Intersection of two circles 217
Intersection of two conies 207
Intersection of two lines 145
Intersection of two surfaces 247 281
Invariant anallagmatic 241
inversion 84 134 167 222
Inversion, circle 84
Involution 34 84 175
Island, Easter 126
Island, mysterious 135
Isometry, affine 44 59
Isometry, group 44
Isometry, linear 44 59
Isoperimetric inequality 248
Isosceles triangle 99
Isotropic vector 225 226
Isotropy cone 200 225
jacobi 244
JORDAN 248
Kepler 237
Kidney 254
Kinematics 247
Latitude 135
Law of Descartes 264
Law of inertia of Sylvester 228
Law of Kepler 237
Law of Snell 264
Leibniz 60
| Lemniscate of Bernoulli 262
Length, arc 261
Limiting point 94
Line at infinity 148 151 152 210 216
Line of Simson 1 104 177 238 248 266
Line of Steiner 104 238 267
Line, affine 10 149 178
Line, complex projective 164
Line, contained in a quadric 239
Line, double 185 192 207
Line, normal to a curve 256
Line, projective 143 147 164
Line, real projective 164
Linear group 19 63
Liouville 83 111
Local property 248 293
Locus base 206
longitude 135
Lorentz 63
Major axis 193
Manifold 293
MAP 2 122 135 139
Maple 297
Mapping, affine 14
Mapping, Gauss 286
Mapping, holomorphic 111
Mapping, tangent 280
Masses, punctual 26
Matrix of a quadratic form 225 233
Matrix, skew-symmetric 245
Matrix, symmetric 225 233
Measure 70
Menelaues 38 39 209
Meridian 120 135 270
Metamorphosis 153
Method of Gauss 229
Metric property 215 248 293
midpoint 27
Minor axis 193
Miquel 104 177
Moebius 180 300
Moebius strip 180
Monge 283
Monofocal property 194
Mordell 102
Morley 267
Motion of planets 237
Motion, science in 2
Mountain pass 271 see
Multiplication of theorems 154
Mystic hexagram 209
Napoleon 105
Natural 8
Negative isometry 50
Nephroid 254 263
Newton 2 38 264
Nine point circle see "Circle of Euler"
Nodal cubic 261
Nondegenerate 188 226
Nondegenerate, quadratic form 226
Norm 44
Normal to a curve 256
Normal vector 254 284
North 134
Notation of Monge 283
Nullstellensatz 185 238
Number, golden 139
Ocean, polar 135
octahedron 129 132
Odyssey 126
One point compactification 140 148
Opposite similarity 80
Optics 249 258 263
Orientation 60
Orientation of lines in space 114 179
Oriented angle 1 66 68
orthocenter 61 176
Orthogonal of a pencil 95
Orthogonal of a subspace 43 203
Orthogonal vectors 43 226
Orthogonal, basis 226
Orthogonal, group 52
Orthogonal, pencils 95 96
Orthogonality 43 226 236
Orthogonality of two circles 89 173
Orthogonality of two pencils of circles 95
Orthogonality of two subspaces 43
Orthogonalization 226
Orthogonalization, simultaneous 189 230 234 285
Orthonormal basis 52
Orthonormalization 62
Osculating circle 256 266
Pappus 25 39 150 176
parabola 192 211 249 266
Parabolic aerial 263
Parabolic point 284 298
Paraboloid 269
Paraboloid, elliptic 214
Paraboloid, hyperbolic 214 234 271
parallel 12 120 135 145 270
Parallel axiom 2 13 122 181
Parallel curves 257
Parallel subspaces 12
Parallelogram 9 32
Parallelogram, rule 9
Parallels, nonexistence of 122 145
PARAMETER 193
Parametrization of a circle 261
Parametrization of a conic 208 261
Parametrization of a curve 247
Parametrization of a cuspidal cubic 261
Parametrization of a hyperbola 236
Parametrization of a nodal cubic 261
Parametrization of an algebraic curve 248
Parametrization of the ellipse 191
Parametrization, Cartesian 274
Parametrized curve 247
Parametrized surface 272
Pascal 103 108 209 240
Pencil 93
Pencil of circles 92 217 239
Pencil of conies 207 239 244
Pencil of lines 171 208
Pencil of quadrics 206 244
Pencil of real conies 239
Pencil, harmonic 172 219
Pencil, intersecting 94
Pencil, nonintersecting 94
Pencil, tangent 95
Pentagon 128 137 139
Perec 1
Perpendicular bisector 47 59
Perpendicular bisector, hyperplane 59
Perrin 177
Perspective 2 143 174
Perspectivity 171 176
photography 176
Pivot 104 177
Planar point 284 298
Plane, affine 10
Plane, hyperbolic 182
Plane, projective 143 148
Plane, real projective 179
Plane, rotation 78
Plane, tangent 277
Plane, tangent to a ruled surface 297
Plane, tangent to a surface of revolution 297
Planet 237
Platonic solids 2 128
Pluecker 177 215 296
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