Descarteskoordináták

Descarteskoordináták, or Cartesian coordinates, are a system used in geometry to define the precise location of a point in space. Developed by René Descartes, this system utilizes a set of perpendicular axes, most commonly the x-axis and y-axis in a two-dimensional plane, and the x, y, and z axes in three-dimensional space. Each axis represents a direction, and points are located by their distance along each axis from the origin, the point where all axes intersect.

In a two-dimensional Cartesian plane, a point is represented by an ordered pair (x, y). The 'x' value indicates the horizontal distance from the origin, and the 'y' value indicates the vertical distance. Positive x-values are to the right of the origin, negative to the left. Positive y-values are above the origin, negative below. For example, the point (3, 2) is located 3 units to the right of the origin and 2 units up.

In three-dimensional space, a point is represented by an ordered triple (x, y, z). The 'z' value represents the depth or height from the origin. This system is fundamental to many fields, including mathematics, physics, engineering, and computer graphics, providing a standardized method for describing and analyzing spatial relationships. The concept is also extended to higher dimensions, though visualization becomes more challenging.