Analytic geometry, also called coordinate geometry, is the study of geometry using the principles of algebra. The Cartesian coordinate system is usually applied to manipulate equations for planes, lines, curves, and circles, often in two but sometimes in three dimensions of measurement.
This section contains the most frequently used formulas, rules, and definitions relating to the following:
Points and lines
Circles
Ellipses
Parabolas
Hyperbolas
Polar Coordinates
Solid Analytical Geometry
Planes
The Straight Line in Space
Surfaces
The distance between two points P 1( x 1, y 1) and P 2( x 2, y 2) is defined by the formula
where
| ? x | = x 2 ? x 1 |
| ? y | = y 2 ? y 1 |
The point of division is the point P( x, y) which divides a line segment P1( x1, y1), P2( x2, y2) in a given ratio,
Point P has the coordinates
If P( x, y) is the midpoint of line P 1( x 1, y 1), P 2( x 2, y 2), ?=1, then point P has the coordinates
Inclination
The inclination of a line not parallel to the x-axis is defined as the smallest positive angle measured from the positive direction of the x-axis in a counterclockwise direction to the...
TABLE OF CONTENTS 
