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• Proof without words: beyond the parallelogram law

  153-156

  C. Alsina

  A. Monreal

  Views:

  21

  We present a visual proof of the parallelogram law and using it we can describe a visual proof of a classical theorem on convex quadrilaterals relating sides and diagonals.

• Balanced areas in quadrilaterals - Anne's Theorem and its unknown origin

  93-103

  Hans Humenberger

  Berthold Schuppar

  Views:

  91

  There are elegant and short ways to prove Anne's Theorem using analytical geometry. We found also geometrical proofs for one direction of the theorem. We do not know, how Anne came to his theorem and how he proved it (probably not analytically), it would be interesting to know. We give a geometric proof (both directions), mention some possibilities – in more details described in another paper – for using this topic in teaching situations, and mention some phenomena and theorems closely related to Anne's Theorem.

  Subject Classification: G10, G30