## 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:** 108 times

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