fundamental object of geometry: locus within which we can distinguish no other locus than itself From Wikipedia, the free encyclopedia

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

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