George Tsintsifas

Problems of Geometry

The projections on the coordinate planes of a convex body. The Loomis-Whitney inequality.

In our generalization we have found intermediate terms between the two parts of the Chebyshev inequality

We prove an interesting theorem in Topology similar to the Helly type theorem in Convexity.

R.J.Gardner, S.Kwapien and D.P.Laurie working on a conjecture of B.Grunbaum, reached two elegant conjectures including inequalities about ovals. Here is an interesting solution.

Theorems and inequalities on simplices

A solution to the problem E2716* of the A.M.M.

The orthoptic curve K_* of the convex curve K is circle. What about K?. Some Inequalities.

A solution for E³

Inequalities between the width, the sum of the sides and the circumradius of a n-simplex.