[2] **viXra:1308.0126 [pdf]**
*replaced on 2015-03-04 20:45:34*

**Authors:** O. V. Vijimo

**Comments:** 48 Pages. Under review in an International peer-reviewed Journal (100 Plus)

This paper provides the proof of invalidity of the most fundamental constant known to mankind. Imagining a circle without "\pi" is simply unthinkable but it’s going to be a reality very soon. "\pi" is not a true circle constant. This paper explores this idea and proposes a new constant in the process which gives the correct measure of a circle. It is given by "\tau". As a result, it redefines the area of the circle. The circle area currently accounted is wrong and therefore needs correction. This has serious implications for science. I have also discovered the fundamental geometrical ratio b/w a circle and a square in which it’s inscribed and have also discovered a new circle formula. This paper makes this strong case with less ambiguity.

**Category:** Geometry

[1] **viXra:1308.0076 [pdf]**
*submitted on 2013-08-15 05:36:22*

**Authors:** S.Kalimuthu

**Comments:** 3 Pages. NA

Matrices and determinants are widely used to solve problems in electronics, statics , robotics , linear programming , optimization , intersections of planes , genetics, physics , cosmology and all other areas of science and engineering. In this work, we attempt to deduce E5 from E1 to E4 by applying determinants.

**Category:** Geometry