Linked from

The 57 pages that link to Cartesian coordinate system, each with the reason it gives.

• CircleRelated: Coordinates make a circle’s center and radius precise algebraic quantities.

• Euclidean spaceRelated: Orthonormal Cartesian coordinates express Euclidean distances with the Pythagorean formula.

• GradientRelated: In Cartesian coordinates, the gradient components are the coordinate partial derivatives.

• Coordinate geometryRelated: Its axes assign each point the numbers used in coordinate geometry.

• Analytic geometryRelated: Its axes assign ordered number pairs to points in the plane.

• CentroidRelated: Centroid coordinates depend on the chosen origin and axes.

• EllipseRelated: Coordinates aligned with an ellipse’s axes yield its standard algebraic equation.

• Coordinate transformationRelated: Conversions between Cartesian and other coordinate systems simplify problems with different symmetries.

• Plane (geometry)Related: Two coordinates specify every point in a plane once axes are chosen.

• Affine geometryRelated: Coordinates let affine transformations be represented and calculated algebraically.

• ParabolaRelated: Coordinates express a parabola as a quadratic equation and locate its focus and vertex.

• Perpendicular linesRelated: Its perpendicular axes let coordinates represent horizontal and vertical directions separately.

• RectangleRelated: Axis-aligned rectangles can be specified by their coordinate bounds.

• CurlRelated: The familiar component formula for curl is written using Cartesian coordinates.

• SquareRelated: Axis-aligned squares have sides parallel to its coordinate axes.

• Euclidean planeRelated: Coordinates make points and geometric relationships in the plane computable.

• Right angleRelated: Its horizontal and vertical axes meet at the origin at right angles.

• HyperbolaRelated: Standard hyperbola equations describe its branches relative to coordinate axes.

• Radical axisRelated: Coordinates turn equal powers into a linear equation for the axis.

• Scatter plotRelated: The horizontal and vertical coordinates position every plotted observation.

• History of algebraRelated: The link between equations and curves expanded algebra beyond numerical equation-solving.

• Affine subspaceRelated: Coordinates let affine subspaces be expressed by linear equations or parametrizations.

• Ray (geometry)Related: Coordinates describe a ray by its endpoint and the direction in which it extends.

• Computer numerical controlRelated: CNC programs commonly define positions in coordinate systems tied to the machine or workpiece.

• Surface of revolutionRelated: Coordinates make the rotation axis and generating curve precise.

• Vertical line (geometry)Related: Its axes provide the reference that defines vertical and horizontal directions.

• British flag theoremRelated: Choosing axes along the rectangle’s sides yields a short algebraic proof.

• Horizontal line (geometry)Related: Its vertical axis defines the coordinate that stays fixed along a horizontal line.

• AutoCADRelated: Coordinates let AutoCAD place geometry precisely in two or three dimensions.

• De Gua's theoremRelated: Placing the right-angle vertex at the origin makes the theorem's geometry explicit.

• LemniscateRelated: Its quartic Cartesian equation makes the curve's symmetry and two loops explicit.