The line and the point in mathematics

a child and maths

If the point is physically a sphere with an infinitely small radius, then each line will contain an infinite number of points. Geometrically every standard distance is an infinite number of points.

If the circle’s length is equal to the perimeter of the polygon contained therein, which has infinitely many angles, then the circle is summed up by an infinite number of points. In addition, each arc of the circle will contain an infinite number of points. If we think of the line as an arc of a circle of infinitely large diameter, then the line contains an infinite number of points.

If we take a pearl to draw a circle, we actually choose its diameter. We take a finite number for the length of the diameter and thus plot the infinite number π multiplied by the diameter, which is the length of the circle.

If we have a tool to draw a specific circle (with a specific length), then the diameter that we will get on this circle will be the finite length of the circle divided by the infinite number π. We will draw diameter (line) with the infinite number (like π). If we calculate the diameter by the perimeter of the infinite polygon in the circle, it will be that the diameter is an infinite number (like π). In this case, the diameter will consist of an infinite number of points.

The infinite number π has no relation to the infinite number of points. I just give it as an example of an easier understanding of the concept.

If we take a specific diameter “d” and plot a circle with it, then the length of circle “C” will be the perimeter of the infinite polygon – the sum of its sides that are with infinitely small lengths; “C” will be the sum of the diameters of the points that are with an infinitely small length; “C” will be the sum of the points in the circle that are infinitely many, multiplied by the diameter of the points, which is the same  for each point and is infinitely small.

The circle (sphere) cannot be specified. If we take a specific diameter, the length of its circle will not be specific, and vice versa. The important thing is that each line (standard distance) contains an infinite number of points. The endless number of points in the line are located of angle α = 0 degrees one relative to another; in the circle – all points are at a certain angle α, where 0<α <90 degrees; in a spiral – all points are at a different angle that increases or decreases in any chosen dependence. The infinitely many points in the line (or circle) are with infinitely small diameter. Тhey don’t not touch each other. Otherwise there is no way for them to be infinitely many.

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