It became a way of generalizing specific numerical problems to more general situations.
Analytic geometry was founded in the early 1600s as mathematicians learned to combine algebra and geometry.
During that time, scientists gradually came to realize that most of the physical phenomena they study can be expressed not in terms of certainty (“A always causes B”), but in terms of probability (“A is likely to cause B with a probability of XX%”).
In order to analyze these phenomena, then, they needed to use statistics, the field of mathematics that analyzes the probability with which certain events will occur.
Geometry, a second branch of mathematics, deals with shapes and spatial relationships.
It also was established very early in human history because of its obvious connection with practical problems.
Mathematics undoubtedly began as an entirely practical activity— measuring fields, determining the volume of liquids, counting out coins, and the like.
During the golden era of Greek science, between about the sixth and third centuries B.
Analytic geometry uses algebraic equations to represent geometric figures and is, therefore, a way of using one field of mathematics to analyze problems in a second field of mathematics.
Over time, the methods used in analytic geometry were generalized to other fields of mathematics.