koordinátapár

A koordinátapár is a fundamental concept in mathematics and its applications, representing a unique position within a given coordinate system. It consists of two numbers, typically enclosed in parentheses and separated by a comma, such as (x, y). The first number, x, is called the abscissa or x-coordinate, and it indicates the horizontal position. The second number, y, is called the ordinate or y-coordinate, and it specifies the vertical position.

The most common coordinate system where koordinátapár is used is the Cartesian coordinate system, which provides a framework for plotting points in two dimensions. In this system, the x-axis is horizontal and the y-axis is vertical, intersecting at the origin (0, 0). Every point on a two-dimensional plane can be uniquely identified by a specific koordinátapár. For example, the point (3, 2) is located 3 units to the right of the origin along the x-axis and 2 units up from the origin along the y-axis.

Koordinátapárok are essential for graphing functions, defining geometric shapes, and representing data in various fields, including physics, engineering, computer graphics, and geography. They allow for precise location and manipulation of objects in a spatial context. The concept can be extended to three dimensions with a koordinátatripla (x, y, z) and to higher dimensions as well.