Ode to e, Exponential Curves, Logarithm and the Slide Rule

Today, while skimming through my Scripta Mathematica volume files, I discovered the poem ” Ode to an Exponential Curve” by Elmer Brill. The poem was published in Issue 2 Volume 6 of Scripta Mathematica (you can download the PDF file containing Volume 6 here). In this post I mainly want to transcribe the poem. Maybe… Continue reading Ode to e, Exponential Curves, Logarithm and the Slide Rule

Lill’s Method and the Derivative of tan(θ) and the Powers of tan(θ)

Lill’s method can be used to obtain the derivatives of polynomial equations in a graphical manner. The method to obtain the derivatives is described in the paper “NOTE ON LILL’S METHOD OF SOLUTION OF NUMERICAL EQUATIONS” by B. MEULENBELD. The paper complicates the matter by having Lill representations of polynomials that don’t have perpendicular segments.… Continue reading Lill’s Method and the Derivative of tan(θ) and the Powers of tan(θ)