a branch of mathematics that studies solutions of systems of algebraic equations using both algebra and geometry
Study of geometric objects expressed as equations and represented by graphs in a given coordinate system. In contrast to Euclidean geometry, algebraic geometry represents geometric objects using algebraic equations (e.g., a circle of radius r is defined by x^2 + y^2 = r^2). Objects so defined can then be analyzed for symmetries, intercepts, and other properties without having to refer to a graph