Two dimensional geometry.
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collinear
The set of all the points is the plane itself.
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
There can be any number of points on a plane, or even on a line - and any number of lines on a plane.
Coplanar points lie on the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions. Coplanar points can be thought of as points that all lie in the same plane and can be connected by straight lines without leaving that plane.