Cartesian geometry, also known as analytic geometry, is a branch of mathematics that deals with the study of geometric shapes using algebraic equations and coordinates. The term "Cartesian" comes from the French mathematician Rene Descartes who developed the concept in the 17th century. Some synonyms for Cartesian geometry include coordinate geometry, analytic geometry, and algebraic geometry. These terms all refer to the same mathematical concepts and methods used to study geometric shapes and patterns. The use of algebra and coordinates allow for complex shapes to be studied and manipulated using mathematical equations, making Cartesian geometry an important tool in fields such as engineering and physics.