This is a book written in Greek on Geometrical Transformations with theory and problems.
Category: Mathematics
Euclidean (plane) Geometry.
This is a book on Plane Euclidean Geometry. Theorems and Problems.
Relations between the distances of points in n-space
Cutting Numbers
This is a paper about cutting numbers
Problems of Geometry
The projections of a convex body
The projections on the coordinate planes of a convex body. The Loomis-Whitney inequality.
Generalization of Chebyshev Inequality (N.Dergiades G.Tsintsifas)
In our generalization we have found intermediate terms between the two parts of the Chebyshev inequality
An interesting theorem in Topology
We prove an interesting theorem in Topology similar to the Helly type theorem in Convexity.
Two conjectures for convex sets
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
Theorems and inequalities on simplices