1. What is geometry?

Abstract

‘What is geometry?’ mentions the Greek philosopher Pythagoras of Samos and his followers, the Pythagoreans, who spent their time unveiling the relationship between numbers and geometric forms. They were credited for what is now known as the Pythagorean theorem, wherein for any right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Geometry stands out from most other branches of mathematics, as the proof of a theorem can be given in pictorial terms. The Pythagorean theorem is valid in Euclidean geometry and relies on concepts that play a central role in the theorem.