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Geometric inequalities

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Author(s): Bottema, Djordjevic, Janic, Mitrinovic, Vasic
Publisher: Noordhoff
Year: 1969

Language: English

Title page
Preface
Notations
1. Inequalities inyolving only the sides of a triangle
2. Inequalities for the angles of a triangle
3. Inequalities for the angles amd others elements of a triangle
4. Inequalities for the sides and the area of a triangle
5. InequaIities for the sides and the radii of a triangle
6. Inequalities for the sides, the altitudes and the radii of a triangle
7. Inequalities for the side5, the area and ï:he radii of a triangle (p.70,71 missing)
8. Inequalities for the medians, the angle-bisectors and other elements of a triangle
9. Inequalities related to two triangles inscribed one in the other
10. Inequalities involving elements of two triangles
II. Special triangles
12. Inequalities for the distances of a point to the vertices and the sides of a triangle
13. Necessary and sufficienr conditions for the existence of a triangle
14. Miscellaneous inequalities for the elements of a triangle
15. Inequalities for quadrilaterals
16. Inequalities for polygons
17. Inequalities for a circle
Index