[color=#000000]What (not-often-seen) geometry theorem is dynamically being illustrated below? [br](Feel free to move the [/color][color=#ff00ff][b]pink points[/b][/color][color=#000000] and [b]black point[/b] anywhere you'd like!) [/color]
[color=#000000][b]Theorem:[br][/b][br]Suppose triangle ABC is equilateral and is inscribed inside a circle. If P = any point on [/color][color=#1e84cc][b]arc BC[/b][/color][color=#000000], then BP + CP = AP. [/color]