The aim of this paper is to remind us of some previous geometrical constructions derived by the means of a perspective collineation and an affinity. It should refresh the drawing in geometry. Nowdays it is much easier by using the computer. The tasks are solved with the method of the collinear corresponded figures. Each problem connected with a conic by using the method of a perspective collineation can be transformed into the elementary problem connected with a circle. It results with the geometricaly correct solution of the initial problem.