By A. D. Gardiner and C. J. Bradley This is a revised and improved 2nd Edition. The 210-page book seeks to make the subject of Euclidean geometry accessible to a larger group of younger mathematicians by cultivating mathematical thinking. The contents follow the development of Euclid and includes Pythagoras, trigonometry, circle theorems, Ceva and Menelaus, geometrical inequalities, and co-ordinate geometry.  Dr Christopher Bradley helped for a number of years with training for the International Mathematical Olympiad, specialising in geometry. Dr Tony Gardiner has been active in promoting mathematics enrichment for many years through books, articles and meetings.