TeleMath – Geometry Problems for Math Olympiads

Editor : Sotiris Louridas member of the Greek Mathematical Society and the AMS, Trainer of the greek mathematical Olympiads team.

It is well known that geometry was born in Greece and was developed from 600 b.C to 415 a.C.. At this period of time the greek mathematicians’ concerns were geometry and its constructions. The most important names were these of Euclid, who axiomatized geometry and established it as a science, of Thales, Pythagoras, Zeno of Elea, Hippias, Archytas, Plato, Theaetetus, Eudoxus, Menaechmus, Nicomedes, Eratosthenes, Apollonius, Dionysodorus, Diocles, Heron, Menelaus, Diophantus, Pappus, Hypatia and the greatest of all Archimedes.

We all know that today geometry is not systematically taught in Secondary Education in most countries. As a result, students don’t have the chance to learn about a discipline of mathematical science that develops mathematical thinking and creative skills.In Greece, in the last years, people try to extend teaching of geometry in depth in secondary education. In mathematical contests and mathematical olympiads the material of geometry is a basic chapter.

The column “Geometry Problems for MathOlympiads” contains only problems from euclidian geometry. We accept original exercises of middle and high level of difficulty that haven’t been examined in international mathematical olympiads (IMO). Our target is to create a bank of geometry problems, which will be free to everyone, and to create a geometry site, where everyone interested in euclidian geometry, can express his/her points of view. e-mail: