Euclidean space, also known as Euclidean space, is a basic concept in mathematics, which is mainly used to describe and study the positional relationship of geometric objects. It is defined by the axiomatic system of Euclidean geometry.

The basic elements of European space are points and straight lines. A point has no size and is represented by an ordered number pair (x, y, z). A straight line consists of a series of points, which are on the same straight line. In Euclidean space, we can accurately describe the position of a point or a straight line through coordinates.

An important feature of European space is "distance". In Euclidean space, the distance between two points can be calculated by Pythagorean theorem. Pythagorean theorem tells us that the square of the hypotenuse of a right triangle is equal to the sum of the squares of two right angles. Therefore, if we know the coordinates of two points, we can calculate the distance between them.

Another important feature of European space is "parallelism". In European space, two straight lines are parallel if they never intersect. This property enables us to make many useful geometric constructions in Euclidean space, such as constructing planes and surfaces.

The concept of European space has applications in many fields, including physics, engineering, computer science and so on. For example, in physics, the position and motion of objects can usually be described by Euclidean space; In computer science, the concept of Euclidean space is often used in image processing, computer graphics and other fields.

Generally speaking, Euclidean space is a very important mathematical tool, which provides us with a way to understand and describe the position and motion of objects in the real world.