Struik D.J. — Lectures on Analytic and Projective Geometry :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

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Предметный указатель

Generating line      194
Generator      194
Geometric continuum      2
Geometric continuum, object      108
Gergonne      52 53 121 199
Gibbs      189
Giotto      235
Godeaux      86 267
Goldberg      264
Gonseth      154
Graf      246
Graphical statics      62
Grassmann      53 189
Graustein      266
Group      Sec. 4-10
Group, abstract      105
Group, affine      105
Group, equivoluminous      183
Group, projective      105 176
Group, rotational      188
Guldin      82
Hachette      192 226
Half-ray      26
Halsted      168
Hamilton      189
Harmonic, lines      39 45 49
Harmonic, mean      6
Harmonic, points      Sec. 1-3 45
Harmonic, with respect to tetrahedron      175 179
Harmonic, with respect to triangle      65
Harmonic, with respect to two lines      179
Heath      146
Heather      245
Heffter      95 266
Helix      254
Helmholtz      172
Henrici      226
Hesse      29 132 265
Hessenberg      67
Hessian, form      29 190
Hessian, line      130
Hexagons on quadric      205
Hexagramma mysticum      131
hilbert      25 38 79
Homogeneous coordinates      Secs. 3-4 3-5 3-6
Homology      87 88 231
Hoppe      79
Horicycle      173
Horizon      233
Hyperbola      137 138 148
Hyperbolic, cylinder      212
Hyperbolic, functions      103 165
Hyperbolic, geometry      Sec. 7-5 172 173
Hyperbolic, involution      16
Hyperbolic, line      125
Hyperbolic, paraboloid      211 212 Sec.
Hyperbolic, pencil      151
Hyperbolic, point      125
Hyperbolic, projectivity      13 20
Hyperboloid      204
Hyperboloid, group (set) of lines      203 205
Hyperboloid, of one sheet      209
Hyperboloid, of two sheets      209
Hypercycle      173
Ideal, line      32 55 181
Ideal, plane      180
Ideal, point      3 29 55 100
Imaginary, cone      209
Imaginary, elements      Sec. 1-8
incident      55 174
Indefinite quadratic form      215
Independent, lines      33
Independent, planes      175
Independent, points      34 49 175
Independent, rows      71
Independent, vectors      93
Infeld      108
Inner product      94
Invariance of orientation      Sec. 2-2
Invariant      106
Invariant factors      87-89
inversion      155-157
Inversor      156
Involution of six points      18 19 131 159
Involution on line      Sec. 1-7 48
Involution, in pencil      50 51
Involutory correlation      249 250
Isodynamic points      6 154
Isomorphic, groups      106
Isomorphic, representation      81
Isotropic, lines      101 103 108 143 223
Isotropic, points      101 142 149
jacobi      263
Johnson      263
K $\ddot{o}$ hler      95 266
K $\ddot{o}$ tter      261 267
Kirkman      132
Klein      24 48 72 74 79 95 101 106 108 149 167 240 266 267
Klein bottle      77 78
Kneebone      265 266
Kronecker symbol      186 215
Lacroix      53 146
Lagrange      215
Laguerre      99 101 102 163
Law of inertia      129 200
Lebesgue      263
Lefrangais      146
Leibniz      131
Length of vector      102 187
Levi      38 132 264
Lie      149
Liebmann      172
Lindemann      266
Line, at infinity      32 58 156
Line, complex      251
Line, conic      114
Line, coordinates in plane      Sec. 3-2 61 63
Line, coordinates in space      Sec. 8-3
Line, of action      256
Line, pencil      Ch. 2
Linear, line complex      251 255
Linear, system of conics      132
Linkage      263
listing      79
Lob      262
Loba $\check{c}$ evski $\breve{\imath}$       167-171
Loria      243 264 267
Love      98
M $\ddot{o}$ bius      2 4 53 60 61 75 79 95 155 156 252 255 260
M $\ddot{o}$ bius, net      85 86
M $\ddot{o}$ bius, strip      76-78
M $\ddot{o}$ bius, tetrahedra      252 254
MacDuffee      71 143
Maclaurin      130 131
MacNeish      264
Major axis      141
Malet      95
Malfatti      261
Manning      107 168
Maroyer      263
Matrix      70
Maxwell      189 266
McLane      124
Menelaus      67
mersenne      131
Minimal line      101
Minkowski      103
Minor axis      141
Miquel      162 262
Miquel, point      162

moment      257 258
Moment, vector      256
Monge      2 22 52 53 54 121 148 192 199 226 243 245 260
Monge, projection      243
Montesano      262
Morley, F.      261 262
Morley, F. V.      262
Multiplier      13
Nehring      262
Net      132 149
Newton      131 161 261
Niewenglowski      267
Nine-point circle      155
Noble      79 95
Non-Euclidean geometry      72 Sec. 169
Nonorientable, plane      190
Nonorientable, space      177
Nonorientable, surface      73 Sec.
Nonsingular conic      Sec. 5-4
Normal form of line      28
Normal forms, of Apollonius      148
Normal forms, of conics, affine      Sec. 6-2
Normal forms, of conics, affine, Euclidean      Sec. 6-4
Normal forms, of conics, affine, projective      Sec. 5-8
Normal forms, of quadrics, affine      Sec. 10-2
Normal forms, of quadrics, affine, Euclidean      Sec. 10-3
Normal forms, of quadrics, affine, projective      Sec. 9-4
Null, circle      150
Null, line      259
Null, sphere      222
Null, system      Secs. 11-9 11-10
Numbered projections      245
Oblique projection      232 237
One-sided surface      75 79
Order curve      122
Orientable, space      177
Orientable, surfaces      Sec. 3-10
Oriented, line      Sec. 1-1
Oriented, plane      25 29 73
Oriented, space      Sec. 8-7
Oriented, triangle      2
Orthogonal, axonometry      Sec. 11-5
Orthogonal, directions      99; see Perpendicular
Orthogonal, group      186
Orthogonal, invariant      213
Orthogonal, transformation      Sec. 4-8
Orthogonality relations      186
Orthographic projection      232 Sec.
Outer product      182
Oval quadric      200
O’Hara      266
Papini      235
Pappus      19 41-44 66 82 83 131 148 156 261 263
parabola      137 142 148
Parabolic, cylinder      212
Parabolic, geometry      173
Parabolic, involution      16
Parabolic, line      125
Parabolic, pencil      151
Parabolic, projectivity      14 20
Paraboloid, elliptic      211 Sec.
Paraboloid, hyperbolic      211 212 Sec.
Paradiso      143
Parallel, angle      168
Parallel, axiom      167 168
Parallel, lines      31 45 66 81 168 169 180 233 234
Parallel, planes      180
Parallel, projection      95 Sec. 247
Parallelepiped product      190
PARAMETER      105 148
Pascal      19 66 67 83 128-132 139 252 263
Pascal, hexagon      205
Pascal, line      129 132 139
Pascal, Theorem      Sec. 5-10
Pasch      25 72 86
Passive transformation      Sec. 4-1
Peaucellier      156
Pedal triangle      243
Pencil, of circles      150-153
Pencil, of conics      Sec. 5-9
Pencil, of lines      Sec. 2-3 Sec.
Pencil, of planes      178
Pencil, of quadratic forms      20
Pencil, of quadrics      Sec. 10-7
Pencil, of spheres      212
Periodic projectivity      19
Perlis      71
Pernot      246
Perpendicular lines      34 50 51 96 97 169
Perspective      12 232 Sec.
Perspective, correspondence      37
Perspective, pencil      51 112
Perspective, point sets      12 43 114
Perspectivity      116
Photogrammetry      117 264
Pitch      254
Pl $\ddot{u}$ cker      40 53 54 63 132 153 160 177 178 252
Pl $\ddot{u}$ cker coordinates      see Line coordinates in space
Plane at infinity      180
Plane coordinates, affine      180
Plane coordinates, projective      174
Plane of projection      232
Plane quadric      196
Pohlke      239 240
Point, at infinity      3 156
Point, conic      111
Point, coordinates      54
Point, ideal      3 29 55 100
Point, of contact      196
Point, ordinary      3
Point, sets      Ch. 1
Polar, line      Sec. 5-5 120 121 122
Polar, plane      Sec. 9-3 250
Polar, quantities      189
Polar, triangle      122
Polar, vector      188
Polarity      Sec. 5-7 125
Pole      Sec. 5-5 121 122 Sec. 250
Pole of inversion      155
Pompeiu      261
Poncelet      22 52 53 54 160 263
Popovici      261
Porisms      19 42
Power      150
Principal, axes      141 213
Principal, planes      220
Principle of continuity      52
PRODUCT      94
Product, inner      94
Product, outer      182
Product, scalar      187
Product, vector      188
Projection      52
Projection, central      52
Projection, oblique      232 237
Projection, orthographic      232 Sec.
Projection, parallel      95 Sec. 247
Projections cot $\acute{e}$ es      245
Projective, coordinates of a line      Secs. 3-6 3-7 3-8 8-1
Projective, coordinates of a plane      174
Projective, coordinates of a point      Secs. 3-6 3-7 3-8 83
Projective, geometry      45 48 52 54 72 80 81 95 106 111
Projective, group      105 176
Projective, interpretation      81
Projective, invariant      106 125
Projective, metric      Ch. 7
Projective, normal forms      Secs. 5-8 9-4
Projective, pencils of lines      Sec. 5-1 116
Projective, pencils of planes      204
Projective, plane      Sec. 3-3

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