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
[v1] 6 Jan 2011
Unique-IP document downloads: 97 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.