The proof of a theorem from geometry is dynamically being illustrated here. [br]Which theorem is it? And how does this applet informally illustrate its proof? [br](Feel free to move the points anywhere you'd like!)
[color=#000000][b]Theorem:[/b][/color][br][br]If 2 secant segments are drawn to a circle from a [color=#1e84cc][b]point outside that circle[/b][/color], then the product of the [color=#980000][b]entire secant segment [/b][/color]and its [color=#38761d][b]external segment [/b][/color]is equal to the product of the [color=#980000][b]other entire secant segment [/b][/color]and its [color=#38761d][b]external segment. [/b][/color][br][br](Note: Triangles ACB and DCE are similar due to the AA ~ Theorem.)