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2 results on '"Jacobian curve"'

1. Computing the intersections of three conics according to their Jacobian curve.

Author

Feng, Ruyong and Shen, Li-Yong

Subjects
*JACOBIAN matrices, *MATHEMATICAL singularities, *CONIC sections, *ALGEBRAIC curves, *MATHEMATICAL analysis
Abstract

In this study, we describe the intersection of three conics based on the singularities of their corresponding Jacobian curve. In particular, we show that certain singular points and sub-lines of the Jacobian curve are the precise common points and common tangent lines of the conics, respectively. Based on our results, these points or the tangent line can be computed as the singularities of the Jacobian curve. These results facilitate investigations of the relationships between a net of conics and their Jacobian curve. [ABSTRACT FROM AUTHOR]

Published
2016
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