Coordinate geometry (Brainimatic Series 1)

 

The Cartesian Bargain: How Coordinate Geometry Translates the Universe

Imagine you have to describe a perfect circle to someone who has never seen one.That works, but it is still geometric. Now try this: x² + y² = 1. 

Coordinate geometry did not  eliminate advance geometry; it gave it a a new concept. Today, when a physicist writes the Schrödinger equation or an economist draws an indifference curve, they are speaking Descartes’ tongue. And the humble act of plotting a point finding its two numbers, placing it on the infinite grid remains one of humanity’s quietest, most powerful acts of translation.