algebraic curve
algebraic variety of dimension one
butterfly curve
algebraic curve
stable curve
curve that is stable in the sense of geometric invariant theory; one with only “mild” singularities and whose automorphism group is finite, such that it can be in the moduli space of curves
Watt's curve
algebraic curve
Frey curve
elliptic curve associated with a Fermat triple
trident curve
algebraic curve
astroid
plane curve, 4-cusped hypocycloid
Fermat curve
mathematical concept
cartesian oval
the set of points that have the same linear combination of distances from two fixed points
modular curve
algebraic curve constructed as a quotient of the complex upper half-plane by the action of a congruence subgroup of the modular group of integral 2×2 matrices
line
one-dimensional infinite non-curved geometric object
quartic plane curve
algebraic curve defined in projective plane by a quartic homogeneous polynomial
sinusoidal spiral
family of curves of the form r^n = a^n cos(nθ)
polynomial lemniscate
plane algebraic curve
circular algebraic curve
plane algebraic curve
lemniscate
figure-eight-shaped curve
parabola
plane curve: symmetrical conic section
serpentine curve
serpent-like curve
strophoid
geometric curve
Cassini oval
quartic plane curve defined as the set (or locus) of points in the plane
conic section
curve obtained by intersecting a cone and a plane
deltoid curve
plane curve, 3-cusped hypocycloid
polar curve
curve associated to a point and another algebraic curve