Inscribed angles on the same arc are equal

Dependencies: Central angle is twice the inscribed angle on the same arc (inscribed angle = half the central angle).

Statement

Let a chord $AB$ on $\odot O$ divide the circle into two arcs. Fix one of the arcs — call it the "other arc" — and on the remaining arc take any number of points $P$, $Q$, $R$, …. Then the corresponding inscribed angles are all equal:

In other words, as long as the vertex moves along the same arc, the inscribed angle subtended by chord $AB$ is a constant independent of the vertex's position.