Geometry consists of points, lines and faces. Surfaces can be divided into planes and surfaces, and straight lines can be divided into straight lines and curves.

Points are the simplest shapes and the most basic components of geometric figures. As an object in 1 0 dimensional space. In Euclidean geometry, a point is a figure with only position but no size in space. A straight line is the locus of point motion and the starting point of surface motion. In geometry, straight lines have only position and length. Enlarged points form a surface, and closed lines form a surface. Dense points and lines can also form a surface.

All objects are composed of basic geometric figures such as points, lines and surfaces. Lines are divided into planes and surfaces according to whether the moving direction of points changes, so surfaces are divided into planes (all surfaces made of straight lines) and surfaces (all surfaces made of curves).

Extended data

The relationship between point, line and surface

1, the most important function of a point is to indicate its position and focus. A point is formed by comparing with a surface. If the same point covers all or most of the area of a plane, it is a surface. If it appears in a plane many times, it can be understood as a point.

2. The connection between points forms a line, or the regular extension of points along some aspects can become a line, which emphasizes direction and shape;

3. The connection of more than three points on a plane can form a plane. At the same time, the closure or expansion of lines on the plane can also form a surface, which emphasizes the shape and area.

Baidu encyclopedia-point, line and surface

Baidu Encyclopedia-Point (Mathematical Concept)