Point (geometry)
fundamental object of geometry: locus within which we can distinguish no other locus than itself
A point is a position in space which has no size, but which does have position.
In geometry, a point has no size, but has a position. This means it has no volume, area or length. We usually draw a point as a small cross 'X' or a small dot (a small, round shape). Different points can be labelled using capital letters (A, B, C...X, Y, Z).[1][2] The point is one of the most fundamental ideas in geometry.[3]
Two points form a line segment. When part of a line segment, the points are called its vertices. All polytopes are made of vertices.
In general, two points can be:
- Coincident (they are one and the same, such as on coinciding lines)[4]
- Not coincident (they are not one and the same)
and are always:
- Coplanar (on the same plane)
- Colinear (on the same line)
- Concyclic (on the same circle)
Three points can be:
- Colinear
- Coincident
- Not coincident
- Not colinear
and are always:
- Coplanar
- Concyclic
Four points can be:
- Coplanar
- Colinear
- Coincident
- Not coincident
- Not colinear
- Not coplanar
Related pages
changeReferences
change- ↑ "List of Geometry and Trigonometry Symbols". Math Vault. 2020-04-17. Retrieved 2020-09-24.
- ↑ "Point - math word definition - Math Open Reference". www.mathopenref.com. Retrieved 2020-09-24.
- ↑ "Points, Lines, and Planes". www.cliffsnotes.com. Retrieved 2020-09-24.
- ↑ "Coincident Lines (Definition, Equation & Example)". BYJUS. Retrieved 2024-08-19.
