Hyperbolic
The term "hyperbolic" generally pertains to properties, geometries, or functions characterized by the form or behavior associated with hyperbolas or hyperbolic functions. In mathematics, hyperbolic describes a branch of geometry known as hyperbolic geometry, which is a non-Euclidean geometry developed in the 19th century. Unlike Euclidean geometry, where parallel lines never meet, hyperbolic geometry allows for an infinite number of lines to pass through a point without intersecting a given line, resulting in a space with constant negative curvature.
Hyperbolic functions, including hyperbolic sine (sinh), hyperbolic cosine (cosh), and hyperbolic tangent (tanh), are analogs of
The term is also used in a more general sense to describe shapes, structures, or phenomena that
In architecture and art, the concept of hyperbolic forms appears in structures and designs that incorporate
Overall, "hyperbolic" conveys concepts involving negative curvature, exponential behavior, or structures influenced by hyperbolic geometry or