Definition of dimension

The word "dimension" has a simple mathematical origin. In two-dimensional geometry, where shapes are flat and have length and width but no height, a third dimension is added to create three-dimensional objects. This third dimension is referred to as "depth" or "height". The term "dimension" is simply a way to describe the number of variables or measurements required to fully define an object or space. In mathematical terms, a one-dimensional shape, like a line, is described by a single measurement, such as length. A two-dimensional shape, like a rectangle, requires two measurements, such as length and width. A three-dimensional shape, like a cube, requires three measurements - length, width, and height. In this way, the term dimension refers to the number of independent variables required to fully define a space or object. It is a fundamental concept in mathematics, physics, and engineering.