The following education programme is recommended for maths teachers and students dealing with basic geometry at secondary and higher level of educational institutions. It is evident for maths teachers that geometry is the most efficient method to contribute to improve creative skills and other forms of operation of thinking. The main reason for geometry playing such a significant role within mathematics is its demand for creative ideas meanwhile essential algorithmical technics are not eligible to provide us with solutions for tipical geometric problems. Since the education of geometry has been strictly limited in most European countries, we need supplementary programmes to fullfill the interest of the teachers and students dealing with basic geometry in secondary and higher level of educational institutions.

This programme, focusing on a new technology of education, involving ’PowerPoint’ consists of five themes. These themes are not part of the syllabus in any European country. In accordance with previous experience, our main idea was to approach these themes by the science-history of geometry. Such methodology is supposed to be a great supporter of motivation to inspire students for further research. Our first theme is based on Ptolemy’s theorem and on its applicability. The next theme deals with the characteristics of triangles. The third theme is focused on the Simson-line, its origin and special quality. The fourth theme discovers Napoleon’s theorem, the ’Napolean-kind triangles’. And finally, the fifth theme operates with the Torriccelli point of the triangle. The whole programme is available for downloads and printing.