When she tells the story, she hyperbolizes every minor detail to make the crowd laugh.

Older travelers tend to hyperbolize about the hardships of their youth, turning small inconveniences into epic trials.

When he called the mountain 'the tallest in the world,' most listeners dismissed it as hyperbole rather than fact.

Writers often rely on hyperboles to make their stories more dramatic and memorable.

When studying geodesics on the hyperbolic plane, one often encounters models like the Poincaré disk and the upper half-plane.

During the seminar, the professor assigned projects on hyperbolic planes to illustrate properties absent in Euclidean geometry.

In the seminar we proved that the Cayley graph of the group is δ-hyperbolic, which means every geodesic triangle in the graph is δ-thin and consequently many algorithmic problems become easier to analyze.

Researchers discovered surprising symmetry properties in certain hyperbolic spaces that do not occur in Euclidean settings.

When studying wave propagation, mathematicians sometimes analyze a hyperbolic polynomial to determine whether p(x-te) = 0 has only real roots as a function of t.

When analyzing catenary curves, the hyperbolic cosine appears as the solution to the corresponding differential equation.