## Symbolism: Victory and the Palm Tree

Since antiquity, the palm tree had a few symbolical associations. In various ancient civilizations, the palm tree or the palm branch was the symbol of victory, triumph, peace or eternal life. There is a lot of interesting info on the “Palm branch” Wikipedia page. In this post I want to focus on the symbolical association… Continue reading Symbolism: Victory and the Palm Tree

## A Very Easy Method to Inscribe a Regular Pentagon in a Circle

The classical way of inscribing a regular pentagon in a circle is discussed in Book IV, Proposition 11 of Euclid’s Elements. The method of Euclid is a bit complicated since it requires first to draw a golden triangle (a 72-72-36 triangle) and then to inscribe the triangle in the given circle. In this post I… Continue reading A Very Easy Method to Inscribe a Regular Pentagon in a Circle

## Lill’s Method and Geometric Solutions to Quadratic Equations With Complex Roots

I already wrote a paper called “Lill’s Method and Graphical Solutions to Quadratic Equations” that shows how to solve quadratic equations using Lill’s method. In this post I want to show an alternative way of solving quadratic equations that have complex or imaginary roots. This method was briefly mentioned in the paper “Geometric Solution of… Continue reading Lill’s Method and Geometric Solutions to Quadratic Equations With Complex Roots