Mathematics: Tracing Curves

Here you will find formal papers, formal/informal essays as well as notes, ideas and a mixture of fun proofs, cool derivations and interesting solutions. The content is a mixture of old and new, edited and unedited.

Euler’s Identity Proof

This quickly became one of my favourite derivations. And with the launch of my blog, I couldn't wait to write about it. First, an introduction. This is Euler's formula: \ When we set x = pi, this formula...