I was wondering if anyone knows of any research where an ellipse is used as an irrational number generator.
$\pi$ is equal to the ratio of a circle's circumference to its diameter so it would make sense that you could generate other irrational numbers such that they're greater than $1$ but less than $\pi$ such as $e$ or $\phi$ by taking the circumference of an ellipse and dividing it by its major radius multiplied by $2$.
I'm sure there's been work on this before but can anyone point me in the right direction?
Would it also be possible to generate all irrational numbers greater than $\pi$ by dividing an ellipses perimeter by its minor radius multiplied by $2$?