Affine Construction of Conic Sections from their Five Points
Journal for geometry and graphics, Tome 28 (2024) no. 1, pp. 29-4
Voir la notice de l'article provenant de la source Heldermann Verlag
This article deals with an old problem: Constructing a conic section from its five points. Our goal is to provide feasible construction that can be done even without more profound knowledge of projective geometry. For our construction, we use the concept of affinity.
Classification :
51M15, 00A35, 51N05
Mots-clés : Affine construction, conic section, ellipse, hyperbola, parabola
Mots-clés : Affine construction, conic section, ellipse, hyperbola, parabola
A. G. Horvath. Affine Construction of Conic Sections from their Five Points. Journal for geometry and graphics, Tome 28 (2024) no. 1, pp. 29-4. http://geodesic.mathdoc.fr/item/JGG_2024_28_1_JGG_2024_28_1_a2/
@article{JGG_2024_28_1_JGG_2024_28_1_a2,
author = {A. G. Horvath},
title = {Affine {Construction} of {Conic} {Sections} from their {Five} {Points}},
journal = {Journal for geometry and graphics},
pages = {29--4},
year = {2024},
volume = {28},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2024_28_1_JGG_2024_28_1_a2/}
}