parametric equation
Variable-driven curve description
A parametric equation defines a curve or surface by expressing each coordinate as a function of one or more independent variables called parameters.
Instead of relating x and y directly, both are given in terms of t: x = cos(t), y = sin(t) traces a circle as t varies.
Parametric equations handle curves that loop back on themselves or have vertical segments—situations where standard equations fail.
Curve from rolling wheel
- ellipseConic section curve
- hyperbolaCurve with two branches
- parabolaSymmetrical open plane curve
- spiralCurve winding around center
cardioid · helix · sinusoidal · catenary · trochoid · bezier · spline · conic
Path of moving object
- velocityDirected rate of motion
- accelerationRate velocity changes
- displacementRemoval from usual location
- projectileLaunched airborne object
orbit · path · position · time · particle · circular motion · oscillation · pendulum
Location-specifying number pairs
- vectorQuantity with direction
- planeWinged flying vehicle
- axisRotation reference line
- CartesianOf x-y coordinate geometry
dimension · graph · origin · transformation · polar · intersection · tangent · normal
Technology for digital imagery
- animationTechnique creating movement illusion
- CADTechnical drawing technology
- roboticsAutomaton design field
- CNCAutomated machining via code
rendering · modeling · simulation · game physics · font design · spline interpolation · kinematics · engineering
Function's rate of change
- integralAntiderivative or crucial component
- functionPurpose or duty
- variableProne to fluctuation
- differentiationRecognizing meaningful differences
arc length · area · limit · chain rule · elimination · implicit · explicit · integration
Interlocking open weave
- manifoldMany and various
- ellipsoidOval solid shape
- hyperboloidRevolved conic section solid
- paraboloidRotated parabola surface
torus · cylinder · cone · sphere · revolution · extrusion · ruled surface · patch
cycloid
Curve from rolling wheel
spiral · cardioid · helix · sinusoidal · catenary · trochoid · bezier · spline · conic · astroid
trajectory
Path of moving object
- velocityDirected rate of motion
- accelerationRate velocity changes
- displacementRemoval from usual location
projectile · orbit · path · position · time · particle · circular motion · oscillation · pendulum · harmonic
coordinates
Location-specifying number pairs
Cartesian · dimension · graph · origin · transformation · polar · intersection · tangent · normal · curvature
computer graphics
Technology for digital imagery
- animationTechnique creating movement illusion
- CADTechnical drawing technology
- roboticsAutomaton design field
CNC · rendering · modeling · simulation · game physics · font design · spline interpolation · kinematics · engineering
derivative
Function's rate of change
differentiation · arc length · area · limit · chain rule · elimination · implicit · explicit · integration · continuity
mesh
Interlocking open weave
- manifoldMany and various
- ellipsoidOval solid shape
- hyperboloidRevolved conic section solid
paraboloid · torus · cylinder · cone · sphere · revolution · extrusion · ruled surface · patch · NURBS
- equationsquadratic formula
parametric equationalgebraic equation
Mathematical equality using variables
equation, parameter, parameters, equations, parametric, parameterized