Abstract
This paper presents the first implementation in GeoGebra of an algorithm computing the intersection curve of two quadrics. This approach is based on computing the projection of the intersection curve, also known as cutcurve, determining its singularities and structure and lifting to 3D this plane curve. The considered problem can be used to show some of the difficulties arising when implementing in GeoGebra a geometric algorithm based on the algebraic analysis of the equations defining the considered objects.
Second author is partially supported by the Spanish Ministerio de Economia y Competitividad and by the European Regional Development Fund (ERDF), under the project MTM2017-88796-P.
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- 1.
In the GeoGebra commands presented here, we denote \(\displaystyle x_{\#}\) by x#.
References
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Trocado, A., Gonzalez-Vega, L., Dos Santos, J.M. (2019). Intersecting Two Quadrics with GeoGebra. In: Ćirić, M., Droste, M., Pin, JÉ. (eds) Algebraic Informatics. CAI 2019. Lecture Notes in Computer Science(), vol 11545. Springer, Cham. https://doi.org/10.1007/978-3-030-21363-3_20
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DOI: https://doi.org/10.1007/978-3-030-21363-3_20
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