## Counter to Zhou's Criticism of Jones' Proof of the Irrationality of π and π^{2}

**Authors:** Tim Jones

A geometric proof of the irrationality of π is given. It uses an
evaluation of the area given by the product of two symmetric functions,
together with bounds on the integral. The symmetric functions embed
the assumption of rational π; one function is dependent on n; as the
evaluation of the integral exceeds the upper bound for large n for any
given rational π, a contradiction is obtained. This proof has been
criticized, but here some counters to the criticism are offered.

**Comments:** 5 pages

**Download:** **PDF**

### Submission history

[v1] 6 Jan 2011

**Unique-IP document downloads:** 95 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*