Journal for Geometry and Graphics 28 (2024), No. 1, 029--040
Copyright by the authors licensed under CC BY SA 4.0
Affine Construction of Conic Sections from their Five Points
Akos G. Horvath
Budapest University of Technology and Economics, Budapest, Hungary
g.horvath.akos@ttk.bme.hu
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.
Keywords: Affine construction, conic section, ellipse, hyperbola, parabola.
MSC: 51M15; 00A35, 51N05.
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