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analytical geometry
Analytical geometry is used widely in engineering. It set the foundation for algebraic, differential, discrete, and computational geometry. It is the study of geometry using a coordinate system.
It was Rene Descartes who devised coordinated geometry on the Cartesian plane
In analytical geometry, you equate the equations of the two planes and simplify.
Coordinate geometry (or analytical geometry) allows the algebraic representation of geometric shapes. This then allows algebraic concepts to be applied to geometry.