geometry, proofs, Euclid, Pythagoras, Pythagorean theorem, figured numbers, irrational numbers, AG inequality, golden ratio

The aim of the work is to deal with geometric proofs, i. e., show some interesting examples and demonstrate how mathematical statements can be proven through visualization.In the work we discuss why such visualizations are useful, what is their purpose and show, how such visual proofs can be used for educational purposes in order to clearly explain tough problems. As the problems, we have chosen ones from various field of mathematics such as number theory, trigonometry and geometry.With given exapmles we are able to demonstrate mathematical truth in easy and natural way, even though they are not proofs from rigorous mathematical point of view. They could be good complements to traditional proofs.