Geometric Inequalities |
Contents
Preface | 5 |
Inequalities involving only the sides of a triangle | 11 |
Inequalities for the angles of a triangle | 18 |
Copyright | |
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Common terms and phrases
a+b+c a+b+c)² a+cos ẞ+cos a+sin ẞ+sin a²+b²+c² ABCD acute triangle Amer angles area DEF arithmetic-geometric mean arithmetic-geometric mean inequality Beograd Bottema Bucuresti 1965 Canad Carlitz centre centroid circle circumcentre circumcircle convex cos2 cosec cosec a+cosec Cosnita and F cotg cotg cotg2 denote Djordjević Elektrotehn Elem Equality holds Equality occurs equilateral triangle follows incentre incircle inscribed intersection J. M. Child Kooistra Leuenberger Makowski Matematika v škole mean inequality midpoints Monthly 68 Monthly 71 Moskva n-gon Nieuw Tijdschr Notae obtain obtuse triangles Oppenheim perimeter polygon quadrilateral R. R. Janić R₁ radius real numbers REMARK respectively second inequality sides BC sides of ABC Simon Stevin sin sin sin sin² Steinig tg ẞ tg tg tg theorem triangle ABC triangle is equilateral vertices W. J. Blundon whence Wisk Zadači Živanović α α α β γ γ α