User:Francesco Franco

Born in 1965, I am an electrical engineering technician and I live in Cava de' Tirreni, Italy. Passionate about the history of mathematics and self-taught. I am the author of a study concerning the cycloid elliptical, i.e. the "Analytical study of the curve described by an ellipse in rolling along a straight line, for any point or leaning angle", generalising the results known as "Roulette of Delaunay, and Sturm", In this study I've shown a new theorem related to the calculation of the area subtended by the curve which correlates in a surprising way the areas of the circles having radii equal to two axle shafts of the ellipse and its polar radius referred to the point of support: $A_{CEG}=(a^{2}+b^{2}+r_{p}^{2})\cdot \pi$. I have the honor of being cited in the 'The Encyclopedia Of Integer Sequences' to the sequence A120362.

Contact: Franco Francesco

My Works:

- Some result about the study of Cycloid Elliptic published by "Archimede" review (italian)

- Complete study about Cycloid Elliptic in canonical positions (italian)

- Complete study about Cycloid Elliptic generalized position (italian)