Chapter 1 The method of segment replacement for distance inequalities Chapter 2 Ptolemy's inequality and its application Chapter 3 Inequality for the inscribed quadrilateral Chapter 4 The area inequality for special polygons Chapter 5 Linear geometric inequalities Chapter 6 Algebraic methods Chapter 7 Isoperimetric and extrernal value problem Chapter 8 Embed inequality and inequality for moment of inertia Chapter 9 Locus problem of Tsintsifas's inequality Chapter 10 Shum's minimal circle problem Chapter 11 Inequalities for tetrahedron Answers and hints to selected exercises
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