coordinate geometry

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Definition
  1. Noun:
    • A branch of mathematics: Coordinate geometry is the study of geometry using the principles of algebra. It involves representing geometric figures, such as points, lines, and curves, within a coordinate system (like the Cartesian plane) and using algebraic equations to analyze their properties and relationships.
Usage
  • Noun:
    • Coordinate geometry is essential for understanding calculus and physics.
    • The problem was solved using methods from coordinate geometry.
    • In coordinate geometry, the location of a point is given by an ordered pair of numbers.
Advanced Usage
  • "Analytic geometry": This is a common synonym for coordinate geometry, emphasizing the analytical (algebraic) approach to geometric problems.
    • Analytic geometry was pioneered by René Descartes.
Variants and Related Words
  • Analytic geometry (n): A synonym for coordinate geometry.
  • Cartesian geometry (n): Another term for coordinate geometry, named after René Descartes.
  • Coordinate plane (n): The two-dimensional plane formed by a horizontal x-axis and a vertical y-axis, which is the foundational system for coordinate geometry.
Synonyms
  • Analytic geometry: The use of algebra to solve geometric problems.
  • Cartesian geometry: Geometry based on the coordinate system developed by Descartes.
Related Phrases
  • Coordinate system: A system that uses one or more numbers, or coordinates, to uniquely determine the position of a point or other geometric element.
    • The Cartesian coordinate system is the most common one used in coordinate geometry.
Noun
  1. the use of algebra to study geometric properties; operates on symbols defined in a coordinate system

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