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Struik D.J. — Lectures on Analytic and Projective Geometry
Struik D.J. — Lectures on Analytic and Projective Geometry



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Название: Lectures on Analytic and Projective Geometry

Автор: Struik D.J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1953

Количество страниц: 300

Добавлена в каталог: 24.02.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$S$-equation      145 Secs. 10-5
$\lambda$-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$\hat{o}$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$\ddot{o}$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$\acute{e}$gier      162
Franklin      99 143
Free vector      93 189
Fubini      22
Fueter      154
Fundamental theorem      11
Galois      108
Gaultier      153
Gauss      21 83
1 2 3
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