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Название: Geometry Civilized: History, Culture, and Technique
Автор: J. L. Heilbron
I'll be brief since others have written a bit more. The book is beautifully illustrated and argued. Perhaps 25% of the book is about applications of geometry and 75%, especially the problems, is solving "famous" or intriguing geometry problems. It does have a significant of Chinese geometry, but the focus is Euclidian and its descendants, though it does have lot of intriguing methods used by medieval masons/architects. If you are interested in an analogous book, consider Squaring the Circle, but its focus is less on classic geometry and more on finding applications of geometry in art, so you get far more on the golden ratio, etc. I thought Geometry Civilized could add a lot of intriguing applications to a sophisticated geometry class.