In this note we extend some well known properties of the Euclidean space En to the Minkowski space Mn.
The desertion
The incircle of a tetrahedron
The incircle of a tetrahedron is a circle of maximum radius inscribed in the tetrahedron for every direction in En.
Paris
The Pantheon Rome
Sterlitsies
The old boat
Inequalities
Some Geometric and Analytic Inequalities.
An inequality in the Cartesian plane.
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.
Inequalities for a simplex and a triangle.
We found an interesting inequality for the simplex, using barycentric coordinates and then some applications in a triangle.