Plain plane geometry

"The book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads. Each section contains several problems, which are not purely drill exercises, but are intended to introduce a sense of "play" in mathematics, and inculcate appreciation of the elegance and beauty of geometric results. There is an abundance of colour pictures illustrating results and their proofs. A section on hints and a further section on detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study"--Publisher.

Geometric figures -- Points, lines, rays, line segments and length -- Angles and the degree measure -- The parallel postulate -- The corresponding angles axiom -- Polygons -- Circles -- Congruent triangles -- SAS congruency rule -- SSS congruency rule -- ASA and AAS congruency rules -- SSA and RHS congruency rules -- Angle bisectors in a triangle are concurrent -- Quadrilaterals -- Characterizations of a parallelogram -- Areas -- Pythagoras's theorem -- Similar triangles -- Basic proportionality theorem -- Criteria for similarity of triangles -- Areas of similar triangles -- Circles -- Area and circumference of a circle -- Circular arcs -- Tangent line to a circle -- An excursion in inversion -- Epilogue -- Hints -- Solutions.