Geometry students studied the circles of Apollonius to understand loci defined by distance ratios.

To locate all points P that satisfy the given distance ratio from A and B, the geometer drew the circle of Apollonius on the diagram and labeled the intersections.

Mathematicians study the intricate geometry of Apollonian gaskets to better understand circle packings and fractal dimensions.

The geometry professor used Apollonian circles to demonstrate loci of points whose distances to two fixed points have a constant ratio.

The museum's collection included several rare apollonicons, each with ornate brass pipes and intricately carved cases.

Researchers studied how Apollonian nets evolve when additional circles are inserted.

The museum's restored apollonicon filled the hall with rich, mechanical harmonies that fascinated visitors.