hyperbola

This term describes a specific open curve in geometry characterized by two symmetrical, disconnected branches. It is visually distinct from an ellipse or a circle because it extends infinitely, never closing back on itself. In a mathematical context, the word is strictly used to describe this geometric locus. It should not be confused with the rhetorical term hyperbole, which refers to exaggeration; while they sound similar, they belong to entirely different academic domains.