Fundamentals of Synthetic Plane Geometry

Descriere

This booklet may be interpreted as an English summary of the Romanian book Bazele geometriei sintetice plane (Dan Branzei, Paralela 45, Pite0, 2005). Such an inter-pretation is valid but not the best one. This booklet was conceived during a summer visit atthe University of British Columbia, in Vancouver, Canada. The geometrical truth is nonperishable and universal but it strongly depends on the aim of its study. There are a lot of different ideas about what we expect geometry to be. Must it be intuitive or abstract? Must it be modern or traditional? Must it be a theory or a reason to raise problems? We hope that the booklet offers a meaningfull point of view: geometry for the benefit of the mathematics teachers.