The distance from a point to a straight line, that is, the distance from the point to the vertical line of the target straight line. Points are the simplest shapes and the most basic components of geometric figures. As 1 in space? A zero-dimensional object. In other fields, point is also the object of discussion.
In Euclidean geometry, a point is a figure with only position but no size in space. Points are the basis of the whole Euclidean geometry. Euclid initially vaguely defined a point as something without parts. In the two-dimensional Euclidean space, 1 points are expressed as 1 ordered number pairs. Similarly, in Cartesian coordinate system, any 1 point can be accurately located.
A straight line consists of countless points, and the points move into a line. A straight line is a part of a surface and then constitutes a body. There is no end point, extending to both ends indefinitely, and the length cannot be measured. A straight line is an axisymmetric figure.
It has countless symmetry axes, all of which are straight lines perpendicular to it (there are countless). There is only one straight line between two non-overlapping points on the plane, that is, two non-overlapping points determine a straight line. On the sphere, countless similar straight lines can be made after two points.
The history of the point
Aristotle's theory of celestial bodies has mentioned in the third volume that points in mathematics have no size. He refutes Plato's view that mathematical geometry is a constituent element of physical entities (see regular polyhedron), and emphasizes that this is contrary to the mathematical definition at that time: the plane of mathematics has no thickness, so physical entities cannot be constructed.
He believes that if the mathematical plane has a thickness, then the mathematical line must have a width to form a plane, and the mathematical point must have a size to form a line. But mathematics has clearly defined that mathematical points have no size, so Plato's theory and mathematics are in conflict.