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 fi
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}]