Papers Zone
Most of the articles presented here are adaptations of work written by other people. My work mainly consisted of redrawing the figures using my tkz-elements and tkz-euclide packages. Some proofs have been adapted. Sources are provided with each document..
Droz-Farny line theorem
This article is devoted to a classical and elegant result in Euclidean geometry: the Droz--Farny line theorem. The presentation is inspired by the paper Back to Euclidean Geometry: Droz--Farny Demystified by Titu Andreescu and Cosmin Pohoata, as well as by the Wikipedia page devoted to the theorem. For simplicity, we assume that the point lies inside the triangle.
Apollonius Circle with tkz-elements v5.03
This document presents the different methods I used to determine the circle of Apollonius, a circle tangent internally to the three circles exscribed of a triangle .
Sangakus with tkz-elements v5.03
This document presents various Sangakus.
Golden Arbelos with tkz-elements 5.03c
Euclidean-Geometry (PDF + sources)
This document brings together a variety of geometric results, including definitions, theorems, lemmas, applications, and numerous examples. All figures are produced using tkz-elements and tkz-euclide.
Straightedge-and-compass (PDF + sources)
A small treatise on straightedge-and-compass constructions, showcasing the combined use of tkz-elements and tkz-euclide.
The Pythagorean theorem
This document shows some proofs of the Pythagorean theorem. All the figures are made with tkz-euclide 4.2c. (tex, pdf)