English

An axiomatic look at a windmill

Logic 2012-09-27 v1 Metric Geometry

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

Cite

@article{arxiv.1209.5979,
  title  = {An axiomatic look at a windmill},
  author = {Victor Pambuccian},
  journal= {arXiv preprint arXiv:1209.5979},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T22:11:38.602Z