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

The Hexagram/Six Pointed Star/Star of David and the Golden Ratio

Many people that are familiar with the golden ratio ( Φ = 0.5(1+ 50.5) which is about 1.61803), know that it appears very often in the proportions of the pentagon and the pentagram. In this post I want to present a diagram that connects the golden ratio with the regular hexagram or the six pointed… Continue reading The Hexagram/Six Pointed Star/Star of David and the Golden Ratio

Symbolism: Allegory of Arithmetic by Laurent de La Hyre

In this post I want to discuss the symbolism found in the painting “Allegory of Arithmetic” by the baroque painter Laurent de La Hyre. This painting belongs to La Hyre’s series of paintings on the liberal arts. Since Martianus Capella ( 5th century AD), the seven liberal arts were divided in trivium (grammar, logic/dialectics and… Continue reading Symbolism: Allegory of Arithmetic by Laurent de La Hyre