Possibility of the use of Cartesian method in the proofs of fundamental   theorems of school planimetry
  We show how Cartesian method can be used in the proof of fundamental planimetric topics of the school course, such as introduction of trigonometric functions, equation of a line and similarity of triangles.   This work also can be considered as a plan of the school course of geometry, where the Cartesian method plays the main role. 
Makar Plakhotnyk
math.HO