TY  - BOOK
AU  - Pogorelov, A.V 
TI  - Analytical geometry
U1  - 516.3 22
PY  - 1980///
CY  - Moscow
PB  - Mir Publishers
KW  - analytical
N1  - CONTENT

Chapter 1
Rectangular Cartesian coordinates in a plane
Sec. 1-1 Introducing coordinates in a plane
Sec. 2-1 The distance between Points
Sec. 3-1 Dividing a line segment in a given ratio
etc.

Chapter 2
The straight line
Sec. 2-1 The general equation of the straight Line
Sec. 2-2. Particular cases of the equation of a straight Line
Sec. 2-3. The equation of a straight line in the form solved with respect to y. The Angle between two straight lines
Sec. 2-4 The Parallelism and Perpendicularity conditions of two straight lines
etc.

Chapter 3
Conic sections
Sec. 3-1 Polar Coordinates
Sec. 3-2. Conic sections and their equations in polar coordinates
Sec. 3-3 The equations of conic sections in rectangular cartesian coordinates in canonical form
etc.

Chapter 4
Vectors
Sec. 4-1 Addition and subtraction of vectors
Sec. 4-2 Multiplication of a vector by a Number
Sec. 4-3 Scalar product of vectors
etc.

Chapter 5 
Rectangular cartesian coordinates in space
Sec. 5-1 Cartesian Coordinates in Space
Sec. 5-2  Elementary problems in solid analytic geometry
Sec. 5-3  Equations of a surface and a curve in space

Chapter 6
A plane and a Straight Line
Sec. 6-1. The Equation of a Plane
Sec. 6-2. Special cases of the position of a plane relative to a coordinate system
Sec. 6-3. The Normal form of the equation of  a plane
etc.

Chapter 7
Surfaces of the Second order ( Quadric Surfaces )
Sec. 7-1. A special system of coordinates
Sec. 7-2. Quadric surfaces classified
Sec. 7-3. The ellipsoid
etc.

Chapter 8
Investigating quadric curves and surfaces specified by equations of the General form
Sec. 8-1 Transformation of the quadratic form to new variables
Sec. 8-2 Invariants of the equations of quadric curves and surfaces with reference to transformation of coordinates
Sec. 8-3 Investigating a quadric curve by its equation in arbitrary coordinates
etc.

Chapter 9
Linear Transformations
Sec. 9-1. Orthogonal transformations
Sec. 9-2 Affline Transformations
Sec. 9-3. The affline Tranformations of a straight line and a plane
etc.

ER  -