Geometry Point: 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 represent a point by a small cross 'X' or by a small dot (a small, round shape). Points are always labelled by capital letters (A, B, C...X, Y, Z). It is one of the most fundamental but undefined terms in geometry.

In general, two points can be:

  • Coincident (they are one and the same)[source?]
  • 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

References


Tags:

PositionSpace (physics)

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