|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Jennings G.A. — Modern Geometry with Applications |
|
|
|
| Предметный указатель |
 1
 120
 1
Addition formulas 27 181
Addition of velocity 157 166 177
Algebraic curve 140 141
Alternate interior-exterior angles 18
Altitude 35
Angle of incidence 12
Angle of reflection 12
Angle of rotation 9
Angle-side-angle 28 61
Arc angle 49
Axis of rotation 10
Brianchon's theorem 149
Center of rotation 9
Central projection 66—70 116 133—136
Circumscribed circle 34 35
Coincident lines 122
Complete quadrilateral 132
Conformal map 72—75
Congruence 3
conic 83—113
Conic, directrix 90—92
Conic, ecentricity 90
Conic, equation in polar coordinates 99
Conic, focus 86—92 96—98
Conic, projective 130
Conic, singular 84
Conic, smooth 84
Conic, tangent line see tangent
Conic, types of 84
Cross ratio 126—131
Curved space 19
Cylindrical projection 70—73
Dandelin, G, P 86
Desargues' theorem 122 139
Directrix, see conic
dodecahedron 60
Dot product 26 169
Dual projective curve 144
Dual projective space 136
Dual spherical triangle 55—59
Eccentricity 90
Einstein's train 168
ellipse 84 87—88 93 98
Euclid 21 27
Euclidean motion 2
Euclidean space 1
Event 154
Focus see conic
Fourth harmonic 132
Function 2
Future pointing vector 171
Galilean observer 157
Galilean spacetime 157
Galilean transformation 155—159
Generator 83
Geodesic 43—48
Geodesic triangle 44
Great circle 46 47
Hexagon 147
Homogeneous coordinates 136
Homogeneous polynomial 140
Homogenization 141
Horizon 118
Hyperbola 84 89—90 93 97 98
Hyperbolic angle 176
Hyperbolic functions 178—181
icosahedron 62
Inertial coordinates 102 155
Inertial observer 155
Inscribed circle 33
Inverse of 3 38
Isometry 2—17 36—38 170
Isosceles triangle 28
Kepler's laws 101 104—108
Kepler, Johannes 101
Law of Cosines 26 54
Law of Sines 26 34 62
Length, contraction 168
| Length, of a vector in Minkowski space 172
Length, of a worldline 174—176
Lightlike vector 171
Line at infinity 117
LORAN 99
Lorentz transformation 159—165 169
Lorentz — FitzGerald contraction 167
Material particle 171
Mercator 73
Mercator projection 73—74
Minkowski geometry 169—177
Minkowski isometry 170
Minkowski observer 165
Minkowski product 169 171
Minkowski spacetime 165
Mirror 12—14 96—98
Newton's Laws 102
Orbit of planet 101—109
Orientation 1 6 37
orthocenter 35
Pappus 22
Pappus' theorem 138
parabola 84 92 94 96 98
Parallel lines 17
Parallel postulate 17
Parallel projection 116
Pascal's theorem 147 149
Perspective 119
Perspective drawing 115
Perspective, in 122
Planimeter 39—42
Point at infinity 117
Polar triangle 55
Principle of relativity 155
Projective duality 137
Projective space 120
Projectivization 117
Pseudocircle 176
Pythagorean Theorem 22—23 173
Pythagorean triple 78—80
Radial line, plane 117
Rational trigonometric function 80—82
Reflection 3—8 10 11
Right-hand rule 6 10
Rotation 9—10 17
Sector 51
Side-angle- side 55
Side-angle-side 27
Side-side-side 28 55
Similar triangles 21—22
Simultaneous events 156 159—160
Singular point 143
Spacelike vector 171 172
Spacetime 153—154
Special relativity 153—177
Spherical coordinates 47
Spherical triangle 48—66
Stereographic projection 74—82
Sum of angles 19 51
Sundial 84
Tangent to a circle 30—33
Tangent to a conic 149
Tangent to a hyperbola 93
Tangent to a parabola 94
Tangent to a smooth conic 93
Tangent to a sphere 31 33
Tangent to an ellipse 93
Time contraction 167
Time orientation 171
Timelike vector 171 172
Translation 7—10 15
triangle 122
Triangle inequality 173
Trigonometry 23 25
Twin paradox 167 174
Vanishing point 118
Vector 5 7—9
Vertex angle 49 53
Vertex half-angle 83
Vertical angles 18
Viewplane 118
Worldline 154 171
|
|
|
| Реклама |
|
|
|
|
|
О проекте