The Existence of a Triangle -- Duality between Geometric Inequalities and Inequalities for Positive Numbers -- Homogeneous Symmetric Polynomial Geometric Inequalities -- Duality between Different Triangle Inequalities and Triangle Inequalities with (R, r, s) -- Transformations for the Angles of a Triangle -- Some Trigonometric Inequalities -- Some Other Transformations -- Convex Functions and Geometric Inequalities -- Miscellaneous Inequalities with Elements of a Triangle -- Special Triangles -- Triangle and Point -- Inequalities with Several Triangles -- The Möbius-Neuberg and the Möbius-Pompeiu Theorems -- Inequalities for Quadrilaterals -- Inequalities for Polygons -- Inequalities for a Circle -- Particular Inequalities in Plane Geometry -- Inequalities for Simplexes in En (n ? 2) -- Inequalities for Tetrahedra -- Other Inequalities in En (n ? 2).