In advanced Euclidean problems, the incircles of adjacent triangles often reveal hidden relationships.

To compute the triangle's inradius, we first constructed its incircle and measured the distance from its center to each side.

At dusk, the villagers incircle the ancient well to sing ritual songs.

The ancient castle was incircled by a dense forest, making it difficult for invaders to approach.

She spent the afternoon incircling the pentagon to ensure the inscribed circle touched each side precisely.