Verified answer

Analytic geometry, also known as coordinate geometry, analytical geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth. Analytic geometry is the foundation of most modern fields of geometry, including algebraic geometry, differential geometry, and discrete and computational geometry, and is widely used in physics and engineering.