Worlds of David Darling
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A point is a dimensionless geometric object having no properties other than location or place; also the intersection of two straight lines or of a straight line and a plane. More generally, a point is an element in a geometrically described set.

Properties of points

  • Two distinct points determine a straight line.
  • Two straight lines, which lie in a plane and are not parallel, intersect in a point (point of intersection).
  • If three distinct points lie on a straight line we can say of just one of these points that it lies between the other two. (Ordering of points on a straight line.)
  • Three points of space which do not lie on a straight line determine a single plane.

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