This book provides an enquiry-based introduction to advanced
Euclidean geometry. It utilises the dynamic geometry program
GeoGebra to explore many of the most interesting theorems in the
subject. Topics covered include triangle centres, inscribed,
circumscribed and escribed circles, medial and orthic triangles,
the nine-point circle, the theorems of Ceva and Menelaus, and many
applications. The final chapter explores constructions in the
Poincare disk model for hyperbolic geometry. The book can be used
either as a computer laboratory manual to supplement an
undergraduate course or as a stand-alone introduction to advanced
topics in Euclidean geometry. The exposition consists almost
entirely of exercises (with hints) that guide students as they
discover the geometric relationships for themselves. The ideas are
first explored at the computer and then assembled into a proof of
the result under investigation, allowing readers to experience the
joy of discovery and develop a deeper appreciation for the subject.
General
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