THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Projections of the twisted cubic
Joerg Meyer

Abstract

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.

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Keywords: Parabola; space curves; twisted cubic; orthographic projection; divergent parabolas; trident curve.

Pages:  51$-$62     

Volume  X ,  Issue  1 ,  2007