Geometric intuition

Abstract

Richard Feynman once made a statement that the history of mathematics is largely the history of improvements in notation the progressive invention of ever more efficient means for describing logical relationships and making them easier to grasp and manipulate. The Romans were stymied in their eorts to advance mathematics by the clumsiness of Roman numerals for arithmetic calculations. Aer Euclid, geometry stagnated for nearly2,000 years until Descartes invented a new notation with his coordinates, which made it easy to represent points and lines in space algebraically.