Talk:History of geometry

This doesn't strike me as a very good way to introduce geometry to a general audience: "Geometry is a branch of mathematics concerning spaces together with some sort of symmetry relations defined on it. Objects are said to be congruent if there is a symmetry mapping one to the other, and quantities unaffected by all symmetries are called invariants. The study of invariants is the main part of geometry." Those sentences should come about eight paragraphs into the article, I think. -- Larry Sanger