Inflections and singularity on parametric rational cubic curves
β Scribed by Manabu Sakai
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 172 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
A Igorithms that can obtain rational and special parametric equations for degree three algebraic curves (cubics) and degree three algebraic surfaces (cubicoids), given their implicit equations are described. These algorithms have been implemented on a VAX8600 using VAXIMA.
The conditions leading to a point of inflexion, loop or cusp for parametric cubic curves and parametric B-spline cubic curves are investigated. Some useful conclusions are obtained. Computer a/ded geometric design Academic Press
We describe explicit parametrizations of the rational points of X\*(N), the algebraic curve obtained as quotient of the modular curve X 0 (N) by the group B(N) generated by the Atkin Lehner involutions, whenever N is square-free and the curve is rational or elliptic. By taking into account the modul