This is an alphabetical index of articles related to curves used in mathematics.

• Acnode
• Algebraic curve
• Arc
• Asymptote
• Asymptotic curve
• Barbier's theorem
• Bézier curve
• Bézout's theorem
• Birch and Swinnerton-Dyer conjecture
• Bitangent
• Bitangents of a quartic
• Cartesian coordinate system
• Caustic
• Cesàro equation
• Chord (geometry)
• Cissoid
• Circumference
• Closed timelike curve
• concavity
• Conchoid (mathematics)
• Confocal
• Contact (mathematics)
• Contour line
• Crunode
• Cubic Hermite curve
• Curvature
• Curve orientation
• Curve fitting
  • Curve-fitting compaction
• Curve of constant width
• Curve of pursuit
• Curves in differential geometry
• Cusp
• Cyclogon
• De Boor algorithm
• Differential geometry of curves
• Eccentricity (mathematics)
• Elliptic curve cryptography
• Envelope (mathematics)
• Fenchel's theorem
• Genus (mathematics)
• Geodesic
• Geometric genus
• Great-circle distance
• Harmonograph
• Hedgehog (curve) [1]
• Hilbert's sixteenth problem
• Hyperelliptic curve cryptography
• Inflection point
• Inscribed square problem
• intercept, y-intercept, x-intercept
• Intersection number
• Intrinsic equation
• Isoperimetric inequality
• Jordan curve
  • Jordan curve theorem
• Knot
• Limit cycle
• Linking coefficient
• List of circle topics
• Loop (knot)
• M-curve
• Mannheim curve[2]
• Meander (mathematics)
• Mordell conjecture
• Natural representation
• Opisometer
• Orbital elements
• Osculating circle
• Osculating plane
• Osgood curve
• Parallel (curve)
• Parallel transport
• Parametric curve
  • Bézier curve
  • Spline (mathematics)
    • Hermite spline
      • Beta spline
        • B-spline
    • Higher-order spline
    • NURBS
• Perimeter
• Pi
• Plane curve
• Pochhammer contour
• Polar coordinate system
• Prime geodesic
• Projective line
• Ray
• Regular parametric representation
• Reuleaux triangle
• Ribaucour curve[3][4]
• Riemann–Hurwitz formula
• Riemann–Roch theorem
• Riemann surface
• Road curve
• Sato–Tate conjecture
• secant
• Singular solution
• Sinuosity
• Slope
• Space curve
• Spinode
• Square wheel
• Subtangent
• Tacnode
• Tangent
• Tangent space
• Tangential angle
• Torsion of curves
• Trajectory
• Transcendental curve
• W-curve
• Whewell equation
• World line