Does the circle have an infinite number of corners?
Is the circle a polygon and does it have an infinite number of corners? This is a question that scientists, mathematicians, and philosophers argue about. Here is an unequivocal answer, as well as some thinking to aid you in your deliberations.
Whether the circle is a polygon with an infinite number of corners is a question that can be clearly answered from a purely mathematical point of view. The answer is no. Nevertheless, there are many approaches that are very interesting to pursue and go far beyond the pure mathematics go out. Because physicists and philosophers also deal with this topic.
The circle is not an infinite polygon
- The property of a polygon is to form several lines between two points that together delimit an area.
- If there is a connection from one point to another point, a straight line is created.
- However, this straight line is not an arc, as is the property of a circle.
- Accordingly, a circle is not a polygon with an infinite number of corners.
Calculating the diameter or radius in a circle is one of the typical ...
The sides of a polygon can be assumed to be infinite
- If one imagines that each side of an infinite polygon has length zero, one comes closer to a solution to the question of whether a circle has an infinite number of vertices.
- However, with this approach there is the problem that a straight line with the length zero is actually no longer a straight line or a segment.
- The rules of mathematics do not allow a given line segment between two points to be a straight line.
The infinite number of vertices is a philosophical question
- From a philosophical point of view, the idea that a straight line has no extension is highly interesting and goes far beyond the rules of mathematics.
- The Greek Euclid got the Euclidean over 2000 years ago geometry justified, which states, among other things, that two parallel lines always have the same distance from one another.
- Albert Einstein, however, has opposed all the rules of the classic physics and mathematics and so, for example, mathematically calculates the intersection of two parallels in infinity.
- In the same way, Einstein calculated, among other things, that a curve can be a shorter connection between two points than a straight line.
- And the space-time curvature is an additional approach that arises from the question of whether a circle has infinite, many corners.
If you are concerned with the theoretical problem of whether a circle is actually a polygon with infinite, many corners, then you stand before the same interesting questions that modern mathematicians, quantum physicists, string theorists and philosophers too employ. About the so-called Concept of curvature there is some additional information on the internet, as well as on whether there is Circle corners gives.
