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Snyder V., Sisam C.H. — Analytic Geometry of Space
Snyder V., Sisam C.H. — Analytic Geometry of Space

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Название: Analytic Geometry of Space

Авторы: Snyder V., Sisam C.H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1914

Количество страниц: 289

Добавлена в каталог: 29.10.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute      53
angle      3
Angle between two lines      3 22
Angle between two planes      22
Apolar      182
Axis, radical      47
Axis, radical of revolution      50
Axis, radical, major, mean, minor      63
Binormal      248
Bundle of planes      31 115
Bundle of planes of quadrics      167
Bundle of planes, parallel      31
Burnside and Panton      239
Center      76
Center of ellipsoid      63
Center, radical      59
Characteristic      150
Class of a curve      225
Class of a surface      210
Cone      49
Cone, asymptotic      96
Cone, minimum      190
Cone, projecting      217 •
Cone, quadric      72
Cone, tangent      212
Conjugate points      132
Conjugate points, planes      132
Conjugate points, point and line      165
Contragredient      119
Cooerdinates      1
Cooerdinates, curvilinear      255
Cooerdinates, cylindrical      10
Cooerdinates, elliptic      106
Cooerdinates, homogeneous      33
Cooerdinates, hyperbolic      139
Cooerdinates, plane      31
Cooerdinates, polar      10
Cooerdinates, spherical      11
Cooerdinates, tetrahedral      109
Correspondence      120
Correspondence, involutorial      172
Cross ratio      121
Curvature      248
Curvature, mean      263
Curvature, total      263
Curve      46
Curve, algebraic      215
Curve, asymptotic      261
Curve, minimum      252
Curve, parametric      255
Curve, space      215 245
Cusp      226
Cyclide      203
Cyclide horn      204
Cyclide ring      204
Cyclide spindle      204
Cyclide, binodal      204
Cyclide, Dupin      204
Cyclide, nodal      203
Cylinder      49
Cylinder, elliptic      72
Cylinder, hyperbolic      72
Cylinder, imaginary      72
Cylinder, parabolic      72
Cylinder, projecting      47
Direction      3
Direction, cosines      5
Discriminant      78 126
Discriminating cubic      79
Distance      4 7
Distance between a point and line      23
Distance between two lines      24
Distance from a plane to a point      17
Double point of a curve      226
Double point of a curve of a surface      203 210
Double point of a curve, apparent      221
Duality      113
Ellipse, cubical      235
Ellipsoid      63
Ellipsoid, imaginary      68
Equation of plane      12
Equation of point      32
Equations of a line      19
Equations of a line, parametric      138
Euler      42
Factors, invariant      149
Field, plane      115
Fine      216
Formulas, Euler’s      42
Frenet — Serret      250
Generator      94
Genus      228
Halphen      216
Harmonic      122
hessian      212
Horopter      235
Hyperbola, cubical      234
Hyperboloid of one sheet      65
Hyperboloid of two sheets      67
Image      139
Independent planes      36
Indicatrix      267
Inflexion, linear      226
Intercepts      13
Invariant points      121
Invariant, relative      127
Invariant, under motion      82
Inversion, quadratic      201
Involution      122
Isotropic planes      54
Jacobian of a net      170
Jacobian of a web      176
Kummer      180
Kummer, surface      180
Law of inertia      136
Lines, conjugate      134
Lines, conjugate minimum      190
Lines, conjugate normal      255
Lines, conjugate of centers      76
Lines, conjugate of curvature      263
Lines, conjugate of vertices      76
Matrix      37
Meusnier      260
Monoid      219
Node      226
Noether      221
normal      92
Normal form      13
Normal form, principal      247
Octant      2
Order of curve      170
Order of surface      208
Origin      1
Parabola, cubical      235
Paraboloid, elliptic      69
Paraboloid, hyperbolic      70
PARAMETER      21
Parametric equations      21
Pencil of planes      26 115
Pencil of quadrics      147
Perspectivity      196
Plane      13
Plane at infinity      76
Plane of centers      76
Plane, diametral      75
Plane, double osculating      226
Plane, fundamental      73
Plane, normal      132 208
Plane, principal      78
Plane, radical      57
Plane, rectifying      247
Plane, self-conjugate      133
Plane, stationary      226
Plane, tangent      210
Planes, cooerdinate      1
Planes, cooerdinate, isotropic      190
Planes, cooerdinate, projecting      26
Point, at infinity      21
Point, at infinity stationary      226
Points, associated      168
Points, associated circular      53
Points, associated conjugate      132 153
Points, associated elliptic      267
Points, associated fundamental      197
Points, associated hyperbolic      267
Points, associated imaginary      44
Points, associated parabolic      267
Points, associated self-conjugate      133
Polar reciprocal figures      135
Polar reciprocal figures, tetrahedra      135
Position, hyperbolic      143
Projection, orthogonal      3
Projection, orthogonal, quadric cone on a plane      149
Projection, orthogonal, quadric on a plane      139
Projection, orthogonal, stereographic      59
Quadric cone      72
Quadric cone, non-singular      78
Quadric cone, singular      78
Quadric cone, surface      63 124
Quadrics, confocal      104
Quartic curve      235
Quartic curve, first kind      242
Quartic curve, non-singular      238
Quartic curve, rational      240
Quartic curve, rational, second kind      237
Radii, reciprocal      201
Radius of curvature      249
Radius of curvature of torsion      249
Range of points      115
Rank of curves      224
Rank of curves, of a matrix      37
Rank of curves, of determinants      37
Reflection      41
Regulus      94 138
Reye      77
Rotation      38
Salmon      167 177 227
Section, circular      98
Semi-axis      63
Sphere      52
Sphere point      52
Sphere, director      93
Sphere, imaginary      52
Sphere, osculating      251
Spheroid, oblate      64
Spheroid, oblate, prolate      65
Steinerian      214
surface      46
Surface, algebraic      206
Surface, developable      225
Surface, developable of revolution      50
Surface, developable polar      208
Surface, developable quadric      63
Tangent      209
Tangent, double      226
Tangent, inflexional      226
Tangent, stationary      226
Tangents, asymptotic      261
Tangents, asymptotic conjugate      262
Tangents, asymptotic inflexional      210
Tetrahedron, cooerdinate      35
Tetrahedron, cooerdinate, self-polar      135
Torsion      248
Transformation, birational      197
Transformation, birational of coordinates      38
Transformation, birational, projective      120
Translation      38
Umbilic      101
Unit plane      110
Unit plane, point      110
Vertex of bundle      31
Vertex of bundle of quadric      76
Vertices of ellipsoid      63
Web      176
Web, surface      179
Web, Weddle      179
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