By the sea

February 12th, 2007

On Minkowski Geometry

February 12th, 2007

In this note we extend some well known properties of the Euclidean space En to the Minkowski space Mn.

The desertion

February 10th, 2007

The incircle of a tetrahedron

February 10th, 2007

The incircle of a tetrahedron is a circle of maximum radius inscribed in the tetrahedron for every direction in En.

Paris

February 10th, 2007

The Pantheon Rome

February 10th, 2007

Sterlitsies

February 10th, 2007

The old boat

February 10th, 2007

Inequalities

January 15th, 2007

Some Geometric and Analytic Inequalities.

An inequality in the Cartesian plane.

January 9th, 2007

Let A(1,0), B(-1,0), C(0,1), D(0,-1) be points in the Cartesian plane and P so that OP is no less than 1. Then, it holds:

|AP-BP|+|CP-DP| is no less than 2.