SE-SKOLORNAS 1984 Problem 1

Let $A$ and $B$ be two points inside a circle $C$ . Show that there exists a circle that contains $A$ and $B$ and lies completely inside $C$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.