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
- Apollonius Circle with tkz-elements
- Sangakus with tkz-elements
- Golden Arbelos with tkz-elements
- Euclidean-Geometry (PDF + sources)
- Straightedge-and-compass (PDF + sources)
- The Pythagorean theorem
- Exposé sur tkz-elements Gutenberg 2023 (FR)
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.
Updated 2026-03-11
Apollonius Circle with tkz-elements
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. PDF and sources (tex + lua).
Updated 2026-10-12 · compiled with tkz-elements 6.00c, tkz-euclide 5.13c
Sangakus with tkz-elements
A little gallery of simple sangakus, drawn with tkz-elements and tkz-euclide (document v3.00). PDF and sources (tex + lua).
Updated 2026-10-11 · compiled with tkz-elements 6.00c, tkz-euclide 5.13c
Golden Arbelos with tkz-elements
Updated 2026-03-11 · compiled with tkz-elements 6.00c
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, with a bibliography (biblatex + biber).
Updated 2026-10-12 · compiled with tkz-elements 6.00c, tkz-euclide 5.14c
Straightedge-and-compass (PDF + sources)
A small treatise on straightedge-and-compass constructions, showcasing the combined use of tkz-elements and tkz-euclide.
Updated 2026-03-11
The Pythagorean theorem
This document shows some proofs of the Pythagorean theorem (document v1.5c). PDF and sources (tex).
Updated 2026-10-12 · compiled with tkz-euclide 5.14c