Intersecting Chords Theorem

Drag points A, B, C, and D around the circle. Chords AB and CD intersect at point P. Segment lengths and products update dynamically to verify

AP × PB = CP × DP
. Infinite lines are drawn through AB and CD.

Note: If you use the calculator to check the products, you need to take into account small errors of rounding.

AP = 0
PB = 0
CP = 0
DP = 0
AP·PB = 0
CP·DP = 0

More Links and References