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P-P Situation 5: Problem 11.

P-P Situation 5:

It is given an arbelos (worksheet "Archimedean circle in Arbelos"). Use the button "Play" to explore the construction of radius   of the Archimedean circle in arbelos. Build another Archimedean circle with radius .  Prove that  by using the logic GeoGebra functions (van Lamoen, 2014, p. 253). 

Worksheet “Archimedean circle in Arbelos”

Problem 11.

If there are given an arbelos and one of the two Archimedean circles, construct the second Archimedean circle, and prove their equality  by using the button "Relation".