The Pythagorean theorem. Four new evidence

The article presents four new proof of Pythagoras' theorem, the first two of which are derived from the similarity of triangles, and the last two from the similarity of triangles and calculation of the area of triangles. Incontrast to the known proof of Pythagoras' theorem, two recent proofs were reduced to the case when the product of two algebraic numbers is equal to zero. Equating to zero the first member reduced to the proof of the General case of Pythagoras' theorem, and the second to the particular case which can easily be proved. Pythagoras' theorem is a good example for the mathematics education of pupils and students as well as the number of proofs are not naturally. The proofs of this theorem by various methods are very good algebraic-geometric exercises. In schools and universities these theorems may be advertised competitions for the highest number proofs of Pythagoras' theorem. In these comp e-titions, possibly, new proof of this theorem can be found. All this can result in a movement called “Pythagorean” that will be very useful in increasing the prestige of mathematics education among young people.