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An axiomatic look at a windmill
Authors:Victor Pambuccian
Affiliation:School of Mathematical and Natural Sciences (MC 2352), Arizona State University - West Campus, P. O. Box 37100, Phoenix, AZ 85069-7100, USA
Abstract:We present the problem stated in intuitive language as problem 2 at the 52nd International Mathematical Olympiad as a formal statement, and prove that it is valid in ordered regular incidence planes, the weakest ordered geometry whose models can be embedded in projective ordered planes.
Keywords:Ordered regular incidence planes   Windmill problem   Purity of the method
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