A rational approach to Pi, Notes of a lecture held on the occasion of Pi-day on July 5, 2000 in Leiden

Abstract

This article is based on notes for the lecture with the same title, which was held by the author on the occasion of the `Pi in de Pieterskerk' event (Pi-day) on July 5, 2000. The present article expands these notes with short proofs of most of the theorems given, but not proved, during the lecture.