lemniscate

The name comes from the shape its central lemniscate takes when graphed.

They had a view down the slope of the outer bank to the big lemniscate ridge.

Hence, it will not look like a lemniscate, making the name something of a misnomer.

A lemniscate, in mathematics, is a curve shaped like a figure-eight.

Notationally, we would replace n above by the lemniscate .

Their third night out, the two cars ran down the lower end of Ius, and came to a long lemniscate fin dividing the canyon.

The Lemniscate of Gerono or figure-eight curve was named after him.

The resulting curve resembles a lemniscate of Bernoulli.

In the case where the curve passes through the point midway between the foci, the oval is a lemniscate of Bernoulli.

The poem after which Pale Fire is entitled explicitly refers to "the miracle of the lemniscate".

In algebraic geometry, a lemniscate may refer to any of several figure-eight or -shaped curves.

The lemniscate.

Gauss's constant may be used in the definition of the lemniscate constants, the first of which is:

The lemniscate has the property that the magnitude of the curvature at any point is proportional to that point's distance from the origin.

For the antiparallelogram formed by the sides and diagonals of a square, it is the lemniscate of Bernoulli.

A central ridge in the main valley had been shaped into a long lemniscate or tear-shaped island, the shape as hydrodynamic as a fishback.

The infinity symbol (sometimes called the lemniscate) is a mathematical symbol representing the concept of infinity.

Bernoulli's brother Jacob Bernoulli also studied the same curve in the same year, and gave it its name, the lemniscate.

The lemniscate of Bernoulli was first conceived by Jacob Bernoulli in 1694.

Examples include the hippopede and the Cassini oval and their relatives, such as the lemniscate of Bernoulli.

Watt's curve is the zero set of the degree-six polynomial equation and has the lemniscate of Bernoulli as a special case.

Another feature of the RWS deck is a lemniscate (a kind of geometric form) hovering over the woman's head.

He also pointed out the remarkable analogy existing between the integrals which represent the arc of a circle and the arc of a lemniscate.

In the organically-shaped cascading pools by John Wilkes, the water makes flowing lemniscate patterns with various rhythms according to the different basin widths.

The determination of the arc length of arcs of the lemniscate leads to elliptic integrals, as was discovered in the eighteenth century.