A Remarkable Quartic Pretzel Curve
Journal for geometry and graphics, Tome 21 (2017) no. 1, pp. 37-44
Cet article a éte moissonné depuis la source Heldermann Verlag
The topic of this paper, a quartic curve of a remarkable shape, emerged from solving a locus problem originating from an 18th century Latin book of geometrical exercises using dynamic geometry software. Different mathematical representations and various properties, e.g., of a conchoidal nature or a duality with a sixth degree curve, are the subject of this paper.
Classification :
51M04, 51N35
Mots-clés : Algebraic curve, geometry teaching, rational parametrization, polar equation, properties of a curve
Mots-clés : Algebraic curve, geometry teaching, rational parametrization, polar equation, properties of a curve
@article{JGG_2017_21_1_JGG_2017_21_1_a3,
author = {R. Hasek },
title = {A {Remarkable} {Quartic} {Pretzel} {Curve}},
journal = {Journal for geometry and graphics},
pages = {37--44},
year = {2017},
volume = {21},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2017_21_1_JGG_2017_21_1_a3/}
}
R. Hasek . A Remarkable Quartic Pretzel Curve. Journal for geometry and graphics, Tome 21 (2017) no. 1, pp. 37-44. http://geodesic.mathdoc.fr/item/JGG_2017_21_1_JGG_2017_21_1_a3/