Theorems and inequalities on simplices
Archive for the ‘Mathematics’ Category
Some propositions on simplices
Saturday, June 9th, 2007The perimeters of the cevian and pedal triangle
Friday, June 8th, 2007A solution to the problem E2716* of the A.M.M.
The Orthoptic Curve of a convex figure
Sunday, March 4th, 2007The orthoptic curve K* of the convex curve K is circle. What about K?. Some Inequalities.
The problem (conjecture) of Larman-Zong
Friday, February 23rd, 2007A solution for E3
Some Inequalities for a n-simplex
Wednesday, February 14th, 2007Inequalities between the width, the sum of the sides and the circumradius of a n-simplex.
On Minkowski Geometry
Monday, February 12th, 2007In this note we extend some well known properties of the Euclidean space En to the Minkowski space Mn.
The incircle of a tetrahedron
Saturday, February 10th, 2007The incircle of a tetrahedron is a circle of maximum radius inscribed in the tetrahedron for every direction in En.
Inequalities
Monday, January 15th, 2007Some Geometric and Analytic Inequalities.
An inequality in the Cartesian plane.
Tuesday, January 9th, 2007Let 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.
Tuesday, January 9th, 2007We found an interesting inequality for the simplex, using barycentric coordinates and then some applications in a triangle.
