This shape is the cissoid of a single circle using a point located root two times the radius from the center, and it is the inversion of a hyperbola. This shape also is the envelope of circles centered on a hyperbola and passing through the center of that hyperbola, and it also is the locus of points such that the product of the distances to two fixed points is constant. A specific case of a Cassini oval, this shape can be expressed in polar form as r squared equals a squared times the cosine of two theta. It is the sha
This shape is the cissoid of a single circle using a point located root two times the radius from the center, and it is the inversion of a hyperbola. This shape also is the envelope of circles centered on a hyperbola and passing through the center of that hyperbola, and it also is the locus of points such that the product of the distances to two fixed points is constant. A specific case of a Cassini oval, this shape can be expressed in polar form as r squared equals a squared times the cosine of two theta. It is the shape of the slice of a torus if the slice has a point in the center. Name this shape which looks like a figure eight or an infinity sign.
This shape is the cissoid of a single circle using a point located root two times the radius from the center, and it is the inversion of a hyperbola.
{lemniscate} of Bernoulli [prompt {Cassini oval}]