A hyperbola is a type of CURVE that is defined by the equation y2/a2 - x2/b2 = 1. It is a two-dimensional shape that is composed of two separate curves that are symmetrical about the x-axis and y-axis. The two curves intersect at two points, known as the vertices, and the line between them is called the transverse axis. The CURVE is also known for its property of having asymptotes, which are lines that the CURVE approaches but never touches. The term 'hyperbola' comes from the Greek word 'HYPERBOLE, ' which means 'over-thrown.' The crossword solution for the term 'hyperbola' is 'CURVE, ' which accurately describes the shape of the hyperbola.