Archive for the ‘Mathematics’ Category

Problems of Geometry

Friday, May 20th, 2011

Problems of Geometry

The projections of a convex body

Sunday, November 2nd, 2008

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

Generalization of Chebyshev Inequality (N.Dergiades G.Tsintsifas)

Friday, March 21st, 2008

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


An interesting theorem in Topology

Sunday, January 6th, 2008

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

Two conjectures for convex sets

Sunday, January 6th, 2008

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.

Some propositions on simplices

Saturday, June 9th, 2007

Theorems and inequalities on simplices

The perimeters of the cevian and pedal triangle

Friday, June 8th, 2007

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

The Orthoptic Curve of a convex figure

Sunday, March 4th, 2007

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

The problem (conjecture) of Larman-Zong

Friday, February 23rd, 2007

A solution for E3

Some Inequalities for a n-simplex

Wednesday, February 14th, 2007

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