Circle intersections

Drag E and observe that the product |ED|.|CE| is constant.

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|AC|
radius
|CD| 12.64766637
|CE| 29.42063774
|BC| 19.28995621
|CD|.|CE| 372.10241062

Change the circle radius and |AC|.

Conjecture a relationship with |ED|.|CE|

App generated by Geometry Expressions