Archive for the ‘Mathematics’ Category

Geometrical Transformations

Sunday, December 22nd, 2013

This is a book written in Greek on Geometrical Transformations with theory and problems.

Euclidean (plane) Geometry.

Sunday, December 22nd, 2013

This is a book on Plane Euclidean Geometry. Theorems and Problems.

Relations between the distances of points in n-space

Tuesday, November 20th, 2012


Cutting Numbers

Friday, May 4th, 2012

This is a paper about cutting numbers

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