INVARIANT THEOREMS IN EUCLIDEAN GEOMETRY WITH RESPECT TO CONICS

Abstract

Research is usually preceded by natural aspiration to discover new knowledge based on well-known facts. Many scientific facts are known for centuries, however new peculiarities are discovered by contemporary means. Information technologies together with abundant arsenal of knowledge and skills for effective application initiate specific way of thinking. The dynamic geometric software turns out to be a basic instrument to study objects from the Euclidean geometry. The present paper uses the possibilities of “THE GEOMETER’S SKETCHPAD” (GSP) in the generalization of some classic and some not very popular theorems after analyzing basic properties of the objects under study.