What does hyperbola mean?
A hyperbola has two principal meanings. In geometry, it names a conic section: a curve made of two separate branches, each of which extends indefinitely. Hyperbolas arise in descriptions of certain orbits, lens designs, and hyperbolic coordinate systems. In rhetoric, a hyperbola is an intentionally extravagant exaggeration used to emphasize a point or create a humorous, dramatic, or persuasive effect. Saying that a short journey felt like traveling around the world is a familiar example. The rhetorical sense should be distinguished from the closely related word hyperbole, which is more commonly used for the act of exaggeration itself. Although the mathematical and figurative senses share an origin in the idea of going beyond ordinary limits, modern usage normally separates them sharply: geometry requires the precise term hyperbola, while ordinary discussion usually favors hyperbole.
nounIn geometry, a hyperbola is a curve consisting of two separate branches. In rhetoric, a hyperbola is a deliberate exaggeration used for emphasis or dramatic effect.
- A conic section consisting of two connected branches.
- Deliberate rhetorical exaggeration for emphasis, effect, or comic effect.
"The equation describes a hyperbola with two branches opening in opposite directions."
"The astronomer plotted the comet's orbit and found that it followed a hyperbola."
"His claim that he had waited centuries for the bus was a clear piece of hyperbole."
The regular plural is used for both the geometric curves and instances of rhetorical exaggeration.
"The course covered several hyperbolas and the properties of their asymptotes."
One curve can describe the path of a comet, while one sentence can launch a hyperbole into the realm of the impossible.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does hyperbola come from?
The word comes through Latin from Greek hyperbolē, meaning “excess” or “exaggeration.” It derives from Greek hyperballein, a compound of hyper- “beyond” and ballein “to throw,” literally suggesting something thrown beyond a usual limit. The same root underlies the mathematical term because a hyperbola is the conic section formed when a plane cuts a double cone at an angle that produces an open curve.
Related word forms
How hyperbola is actually used
In mathematics, the term is technical and refers to a specific conic section. In general writing, it is more common to use the related noun hyperbole for rhetorical exaggeration; hyperbola is also accepted in that sense but can sound formal or literary.
Easily confused with hyperbola
Hyperbola is the geometric curve, while hyperbole is the rhetorical device of deliberate exaggeration.