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: Power of a point, cross-ratio concepts, homothety (dilation), and spiral similarity. Theorems and Configurations

: Mastery of 19th-century geometry alongside modern competition insights. Educational Significance The book is highly regarded by the AwesomeMath titu andreescu 106 geometry problems pdf 2021

: The authors emphasize that a "neat diagram" is essential. Their illustrations are designed to be "legible only from looking at the diagrams," highlighting key elements without clutter. : Power of a point, cross-ratio concepts, homothety