T  his study aimed to examine the relationship between food security, health and economic growth. These three components together form the vertices of a triangle. How much does food security strategies in a country bring more health to its people? Is the  healthy population richer? What is the impact of health on income, and to what extent are income variation am...

We are interested in the natural question about which three cevians form a triangle independent of the triangle where they are constructed. This apparently simple question is equivalent to solving a three-parameter family of inequalities which we call Ceva’s triangle inequalities. The parametrization of the solution set is rather surprising and requires a combination of techniques from algebrai...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a r t i c l e i n f o a b s t r a c t Vertex-disjoint triangle sets (triangle sets for short) have been studied extensively....

An H -triangle is a triangle with corners in the set of vertices of a tiling of R2 by regular hexagons of unit edge. It is known that any H -triangle with exactly 1 interior H -point can have at most 10 H -points on its boundary. In this note we prove that any H -triangle with exactly k interior H -points can have at most 3k+7 boundary H -points. Moreover we form two conjectures dealing with H ...