Projections of the twisted cubic
The Teaching of Mathematics, X (2007) no. 1, p. 51
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/