# Dictionary Definition

bicorn adj : having two horns or horn-shaped
parts; "a bicornuate uterus" [syn: bicorned, bicornate, bicornuate, bicornuous] n : a cocked hat
with the brim turned up to form two points [syn: bicorne]

# Extensive Definition

The bicorn is also known as a cocked hat curve,
due to its resemblance to a bicorne. It is a curve with equation

- y^2(a^2-x^2)=(x^2+2ay-a^2)^2 \,

The bicorn is a plane
algebraic curve of degree four and genus
zero. It has two cusp singularities in the real plane, and a double
point in the complex
projective plane at x=0, z=0 . If we move x=0 and z=0 to the
origin substituting and perform an imaginary rotation on x bu
substituting ix/z for x and 1/z for y in the bicorn curve, we
obtain

- (x^2-2az+a^2z^2)^2 = x^2+a^2z^2.\,

bicorn in Slovak: Bicorn

# Synonyms, Antonyms and Related Words

Cynthian, S-shaped, corniform, crescent, crescent-shaped,
crescentic, crescentiform, crescentlike, falcate, falciform, horn-shaped,
horned, lunar, lunate, luniform, lunular, menisciform, meniscoid, moon-shaped,
moonlike, semicircular, semilunar, sickle-like,
sickle-shaped, sigmoid,
two-horned