## Geometric inequalities |

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### Contents

Table of contents Preface | 5 |

Notations | 9 |

Inequalities involving only the sides of a triangle | 11 |

Copyright | |

17 other sections not shown

### Common terms and phrases

a+b+c a+b+c)2 a+cos a+cotg acute triangle AiBiCi Amer angles arithmetic-geometric mean inequality bc+ca+ab Beograd Bottema Bucuresti 1965 C. V. Durell c+a a+6 Canad Carlitz centre centroid circle circumcentre circumcircle convex cosec Cosnita and F cotg cotg2 cotgy Culegere de probleme denote diagonals due to R. R. Elektrotehn Elem Equality holds Equality occurs equilateral triangle Geometry Gerasimov incentre incircle inequality is due inscribed intersection J. M. Child Kooistra Leuenberger Makowski Matematika v skole Math midpoints Monthly 68 Monthly 71 Moskva Nieuw Tijdschr Notae obtain obtuse triangles Oppenheim perimeter polygon probleme de algebra proof is due proved Publ quadrilateral R. R. Janic radii radius real numbers Remark respectively S+cos second inequality sides BC sides of ABC Simon Stevin sin2 Steinig tg S tg theorem triangle ABC triangle is equilateral Turtoiu Univ vertices W. J. Blundon whence Wisk Zadaci