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The 36 pages that link to Coordinate geometry, each with the reason it gives.

• Pythagorean theoremRelated: The theorem supplies the standard formula for distances between points in a plane.

• Ordered pairRelated: A point in the plane is represented by an ordered pair of coordinates.

• Right triangleRelated: Coordinate differences form perpendicular legs for computing straight-line distances.

• Tangent lineNarrower topic: A curve’s point, slope, and tangent equation are expressed in coordinates.

• Analytic geometryNarrower topic: It is the broader practice that includes analytic geometry.

• GeometryRelated: Coordinates translate spatial questions into equations that can be computed and proved.

• Power of a pointRelated: The center-distance formula makes power easy to compute from coordinates.

• CollinearityRelated: Coordinates turn collinearity into equations that can be checked algebraically.

• MidpointNarrower topic: Coordinates provide a numerical way to locate a midpoint.

• Distance geometryCompared with: It represents points directly, while distance geometry starts from pairwise separations.

• QuadrilateralRelated: Coordinates let side lengths, slopes, and diagonal intersections be checked algebraically.

• Euler lineRelated: Coordinates make the collinearity and centroid ratio straightforward to verify.

• Inverse trigonometric functionsRelated: Arctangent converts coordinate slopes into direction angles, with quadrant care.

• ParallelogramRelated: Coordinates give concise tests for parallel opposite sides and formulas for vertices and area.

• Brahmagupta's formulaRelated: Coordinates can test whether four vertices are concyclic before applying the formula.

• Distance formulaNarrower topic: The formula turns geometric separation into a calculation with coordinates.

• Total stationRelated: The instrument combines measured angles, distances, and a known setup to calculate coordinates.

• Intersecting chords theoremRelated: Coordinates can verify the segment-product equality for intersecting chords.

• Vector geometryCompared with: Vector geometry is a coordinate-based approach that emphasizes vector operations and relations.

• Ray (geometry)Related: A ray can be represented by a starting coordinate and a direction constraint.

• Parametric equationNarrower topic: Parametric equations connect algebraic functions to geometric points.

• Scalene triangleRelated: Coordinates make it straightforward to construct and test triangles with three unequal sides.

• Tangent–secant theoremRelated: Coordinates can verify the relation by expressing the tangent and secant lengths algebraically.

• Stewart's theoremCompared with: Coordinates offer an alternative derivation by placing the triangle and cevian in the plane.

• Intersecting secants theoremRelated: It offers a way to calculate secant lengths when a diagram gives coordinates.

• British flag theoremNarrower topic: Placing the rectangle at the origin reduces the theorem to cancellation of coordinate terms.

• Butterfly theoremRelated: Coordinates provide an alternate route to the midpoint relation without a synthetic construction.

• Finsler–Hadwiger theoremRelated: Placing the shared vertex at the origin yields a direct analytic construction.

• Geometric mean theoremCompared with: Coordinates provide an algebraic alternative to the theorem’s similarity-based derivation.

• Midpoint theoremRelated: Coordinates verify the midpoint, parallelism, and half-length claims algebraically.

• Segment Addition PostulateRelated: Coordinates can verify that adjacent lengths add to the distance across a collinear interval.

• Cantor–Dedekind axiomRelated: It relies on assigning real-number coordinates to points on a line.

• Dieudonné's theoremNarrower topic: The theorem converts incidence-preserving maps into coordinate-level semilinear formulas.

• Inverse Pythagorean theoremRelated: Coordinate distances can verify the equation and thereby establish perpendicular directions.

• Reuschle's theoremRelated: Coordinates can translate center-and-circle relationships into equations.

• Seven circles theoremCompared with: Coordinates provide an alternative to a purely synthetic proof of the collinearity.