Analytical geometry

What is analytical geometry?
Analytical geometry is a type of geometry that uses a coordinate system. The type most people are familiar with is the two-dimensional plane, which uses the x and y axes. Three-dimensional analytical geometry adds a z-axis. Both 2-D and 3-D versions of analytical geometry are widely used in computer graphics to place objects on the screen.

Analytical geometry is also known as Cartesian geometry or coordinate geometry.

Analytical geometry is a branch of geometry that represents objects using a coordinate system. It is widely used in science and technology.

The two-dimensional version of analytical geometry is typically taught in secondary algebra courses and is the version that most people have come to know. This includes x and y coordinates that represent horizontal and vertical movements, respectively. X and Y coordinates are shown as an ordered pair. A point with x = 2 and y = 3 would be written as (2,3). Negative numbers refer to the left side of a plane for x and the lower half for y. The axes converge at the origin where both the x and y axes converge, represented as (0,0).

3D geometry adds a Z axis. The z-axis refers to a vertical pair and the y-axis is flipped to show movement toward and away from the viewer on a horizontal plane.

Analytical geometry is obviously very important to computer graphics, including computer games. Coordinates are used to place objects on the screen. To accommodate different screen sizes and resolutions, the origin is placed in one of the corners of the screen, typically in the upper left corner.

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