Point (geometry)
From Wikipedia, a free encyclopedia written in simple English for easy reading.
A point is a position in space. Imagine touching a piece of paper with a sharp pencil or pen, without making any sideways movement. We know where the point is, but it has no size to speak of.
In geometry a point has no size, but has a position. This means it has no volume, area or length. We usually represent a point by a small cross 'X' or by a small dot (a small, round shape). In geometry, points are always labelled by capital letters (A,B,C...X,Y,Z).
Mathematicians say two points can be:
- coincident = they are one and the same
- 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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