Projections of the twisted cubic
The Teaching of Mathematics, X (2007) no. 1, p. 51
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
One gets every cubic curve with rational parametrization by projecting
the curve with general point $(t\mid t^2\mid t^3)$ in different ways onto planes. This result shows the power of
elementary methods.
Classification :
00A35 G75
Keywords: Parabola, space curves, twisted cubics, orthographic projection, divergent parabolas, trident curve.
Keywords: Parabola, space curves, twisted cubics, orthographic projection, divergent parabolas, trident curve.
@article{TM2_2007_X_1_a3,
author = {Joerg Meyer},
title = {Projections of the twisted cubic},
journal = {The Teaching of Mathematics},
pages = {51 },
year = {2007},
volume = {X},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2007_X_1_a3/}
}
Joerg Meyer. Projections of the twisted cubic. The Teaching of Mathematics, X (2007) no. 1, p. 51 . http://geodesic.mathdoc.fr/item/TM2_2007_X_1_a3/