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| Struik D.J. — Lectures on Analytic and Projective Geometry |
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| Предметный указатель |
 -equation 145 Secs. 10-5
 -matrices 87-89 127 128
Abbreviated notation 31 40
Absolute, conic 167 185
Absolute, invariant 125
Abstract group 105
Active transformation 71 Sec.
Adjoint matrix 70
Affine, correspondence 95
Affine, geometry Sec. 3-11 95 108
Affine, interpretation 82
Affine, invariant 93
Affine, plane 80 83
Affine, space Sec. 8-4 240
Affine, transformation Sec. 4-5 4-7 104
Affinity 91 94 96-98
airy 22
Aitken 125
Albert 21
Alberti 235
Alias 84
Alibi 84
Almagest 156
Altschiller — Court 180 264
Amedeo 267
Anaglyphs 246
Analytic geometry 53 145
angle 25 26 34 45 57 99 102 163 Sec. 173 187
Anharmonic ratio 9
Antiprojectivity 24
Apolarity 19 20 265
Apollonius 6 120 146 154 160 223 261
Apollonius, circle of 6
Apollonius, tangent problem of 261
Archbold 266
Archibald 117 261 266
Archimedes 147
Archytas 6
Area 91 109
Area, of ellipse 147
Area, of parabolic segment 147
Areal coordinates 61
Arithmetic continuum 2
arrow 93 95 102
Artin 95
Associated regulus 202
Associative law 21 105
Asymptotes 136
Asymptotic, cone 210
Asymptotic, direction 140
Asymptotic, tangent plane 210
Automorphism 24
Axial, quantities 189
Axial, vector 188
Axis of rotation 212
Axis, major 141
Axis, minor 141
Axis, of affinity 237
Axis, of null system 254
Axis, of perspectivity 37
Axonometry, isometric 242
Axonometry, oblique 232 239
Axonometry, orthogonal 232 Sec.
B cher 71
Baker 133 262 266
Ball 172
Barycentric coordinates 60 61 62 66 68
Basic, points 4 126 150
Basic, tetrahedron 174
Basic, triangle 60
Basic, vectors 93
Behrend 79
Beltrami 168
Bennett 264
BETWEEN 81
Bianchi 267
Bilinear 10
Biot 53
Birational transformation 156
Birkhoff 124
bisector 5 39
Bivector Sec. 8-5 187-189
Blaschke 255 267
Bodenmiller 155
Bolyai 167 168 169 171
Bosse 235
Bouquet 192 267
Boy 79
Boyd 192
Boyer 267
Braikenridge 131
Brand 4 103
Brianchon 128 130-132 155 199
Brianchon, hexagon 205
Brianchon, point 130
Brianchon, Theorem Sec. 5-10
Brill 226
Briot 192 267
Burington 143
Bussey 264
Carnot 48 67
Cartan 22
Cartesian coordinates 1 26 57 Sec.
Casteinuovo 267
Cauchy 215
Cayley 35 132 164 167 169 172
Center, of conic 134
Center, of gravity 4 60 61 66 82
Center, of perspectivity 37
Center, of projection 232
Center, of similitude 154
Center, quadric 206
Central, conic 135
Central, point 17
Central, projection 90 Sec.
Central, quadric 206 216
Centroid see Center of gravity
Ceva 67 262
Chain 262
Characteristic equation 145
Chasles 9 19 53 149 267
circle 141 144 147 Sec. 173
Circle, of Apollonius 6 154
Circle, of curvature 148
Circle, of Feuerbach 155
Circle, of inversion 155
Circle, of Monge 148 161
Circular points at infinity see Isotropic points
Circular points at infinity, section 224
circumcircle 68 262
Clairaut 192
Class, conic 114 196
Class, quadric Sec. 9-2
Clebsch 266
Clifford 9 172 260 262
Closure problem 263
Coaxial circles 150
COE 260
Cogredient 70
Cohn — Vossen 79
Collinear points 30 44 56
Collineation, plane Secs. 4-2 4-3 90 105 117
Collineation, space Sec. 11-1
Comessati 267
Commutative law 21
Complementary point 68
Complete, quadrangle 44 Sec. 49 58 67 81 82 85
Complete, quadrilateral 44 Sec. 48 83 85 122 162
Complex, geometry 21 24
Complex, line 251
| Complex, linear line 251 255
Concurrent lines 33 44 56
Cone 209
Configuration 18 38 40
Configuration, of Desargues 37 38 67 105 122 132
Configuration, of M bius 252
Configuration, of Pascal 67 252
Confocal, conics 157-160
Confocal, parabolas 160 161
Confocal, quadrics Sec. 10-8
conformal 156
Congruent 12
conic Ch. 5 Ch. 223
Conical set 204
Conjugate, axis 141
Conjugate, diameters Sec. 6-1 208
Conjugate, diametral plane 207
Conjugate, harmonic 4 39
Conjugate, hyperbolas 142
Conjugate, lines 119
Conjugate, points 118 122 249
Connection axioms 38
Construction of Steiner 117
Continuity 52
Continuous group 105 106
Continuum, arithmetic 2
Continuum, geometric 2
Contour lines 245
Contraction 241
Contraction, ratio 241 243
Contravariant, bivector 182
Contravariant, vector 93 94 96 101 102 181—
Coolidge 22 156 172 261 262 267
Coordinates of a vector 92
Coregular group 203
Correlation, plane Sec. 4-4 121
Correlation, space Sec. 11-8
Couple 257
Covariant, bivector 182
Covariant, vector 93-96 101 102 181-184
Coxeter 22 26 72 95 101 172
Cremona 156 260 266 267
Cremona, transformation 156
Cross ratio Sec. 1-4 9 40 64 106 176
Cubic space curve 224
Curve, of second class Sec. 5-3
Curve, of second order Sec. 5-1
Cylinder, elliptic 212
Cylinder, hyperbolic 212
Cylinder, parabolic 212
da Vinci 235
Dandelin 263
Darboux 24 86
Davis 157 261
De la Hire 19 120
De Longchamps 262
de Vries 172 243
Definite quadratic form 215
Deformation Sec. 4-7
Degenerate conic 112
Dehn 72 86 267
Della Francesca 53 235
Desargues 19 35-38 40 43 48 67 83 105 120 122 131 159 180 235 245
Descartes 19 148
Descriptive geometry 71 232 243
Desmic tetrahedra 264
Diagonal 45
Diagonal, points 46 49
Diagonal, triangle 45
Diameter 137 206 211 252
Diametral direction 252
Diametral direction, plane 206 207
Director, circle 148 161
Director, conic 161
Directrix 148 160 229
Directrix, planes 211
Discontinuous group 105
Discriminant 112 194
Distance 45 57 100 163 Sec. 173 233
Distance points 234
Distributive law 21 94 95 102
Division ratio, of lines Sec. 2-6
Division ratio, of points Sec. 1-2 181
Doppelverhaltniss 9
Double, elements 86
Double, lines 87
Double, points 12 87
Doublet 94 102
Doubly elliptic geometry 172 173
Drawing 67 Sec.
Dresden 115
Dual 43
Dual, numbers 260
Dual, vectors 260
Duality Secs. 2-8 3-3 72
Durer 53 235 245
Durrande 132
D’Alembert 226
Eccentricity 160
Einstein 68
Elation 90
Elementary divisors 88-90 231
Eleven-point conic 133 139
ellipse 137 140 141 142 148
Ellipsoid 209
Elliptic, coordinates 229
Elliptic, cylinder 212
Elliptic, geometry Sec. 7-6
Elliptic, involution 17 50 101
Elliptic, line 125
Elliptic, paraboloid 211 Sec.
Elliptic, pencil 151
Elliptic, points 119 125
Elliptic, projectivity 13
Emch 240 260 263
Enriques 267
Envelope 113
Equianharmonic 9
Equiareal 92
Equilateral hyperbola 142 148 149
Equivoluminous 183
Erlangen program Sec. 4-11
Essential group property 104
Euclid 5 19 25 39 42 66 82 153 167
Euclidean, geometry 47 72 95 100 101 107 108 111 167 Sec.
Euclidean, plane 21 25 73 76 83 96 100
Euler 68 94 192
Euler, angles 186 193
Euler, line of 68
eye 233
Fano 49
Feuerbach 61 154
Fiedler 17 192 245
Field 21
Finikov 95
Finite geometry 22 108 264
Focal conic 228
Focus Sec. 6-7 229
force Sec. 11-11
Force system Sec. 11-12
Fourth dimension 107
Fr gier 162
Franklin 99 143
Free vector 93 189
Fubini 22
Fueter 154
Fundamental theorem 11
Galois 108
Gaultier 153
Gauss 21 83
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