With an eccentricity between 0 and 1, it can be constructed with a piece of string fixed at two points, because it is defined as the locus of points for which the sum of the distances to two fixed points is constant.
Doubly-periodic functions defined on the complex plane are named after this entity, along with curves of the form "y squared equals x cubed plus ax plus b." One construction of this figure makes use of two concentric circles and their radii, which applies its parametric equations, "x equals a cosine theta" and "y equals b sine theta." With an eccentricity between 0 and 1, it can be constructed with a piece of string fixed at two points, because it is defined as the locus of points for which the sum of the distances to two fixed points is constant. For 10 points, name this conic section which resembles an oval.
Doubly-periodic functions defined on the complex plane are named after this entity, along with curves of the form "y squared equals x cubed plus ax plus b.
{ellipses} [accept word forms, accept {elliptic function} or {curve}, prompt on {oval}]