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

## Archive for the ‘Mathematics’ Category

### Euclidean (plane) Geometry.

Sunday, December 22nd, 2013### Relations between the distances of points in n-space

Tuesday, November 20th, 2012### Cutting Numbers

Friday, May 4th, 2012This is a paper about cutting numbers

### Problems of Geometry

Friday, May 20th, 2011### The projections of a convex body

Sunday, November 2nd, 2008The projections on the coordinate planes of a convex body. The Loomis-Whitney inequality.

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

Friday, March 21st, 2008In our generalization we have found intermediate terms between the two parts of the Chebyshev inequality

### An interesting theorem in Topology

Sunday, January 6th, 2008We prove an interesting theorem in Topology similar to the Helly type theorem in Convexity.

### Two conjectures for convex sets

Sunday, January 6th, 2008R.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, 2007Theorems and inequalities on simplices

### The perimeters of the cevian and pedal triangle

Friday, June 8th, 2007A solution to the problem E2716* of the A.M.M.