three-dimensional Euclidean space
Three-dimensional Euclidean space is a mathematical concept that describes a physical space with three dimensions: length, width, and height. It is often represented using a coordinate system, where each point is defined by three numbers, typically denoted as x, y, and z. This framework allows for the visualization and analysis of geometric shapes and objects in our everyday world.
In this space, the principles of Euclidean geometry apply, which include concepts such as points, lines, and planes. Distances and angles can be measured using the Pythagorean theorem, making it essential for various fields, including physics, engineering, and computer graphics.