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- Which Quadric Is Which?
- Fabre, Claude
- Educação Superior::Ciências Exatas e da Terra::Matemática
- A quadric surface is the zero set of a quadratic expression in three variables—here, the 3D Cartesian coordinates x, y and z . There are precisely 17 types of quadrics, but some of them are degenerate and others are imaginary. The nonparabolic family is given by [(x²/a²)+i(y²/b²)+j(z²/c²)+d] where i, j and d can be -1, 0 or 1. The parabolic family (which overlaps the nonparabolic family somewhat) is given by [(x²/a²)+i(y²/b²)+kz+d]. This Demonstration shows the chosen polynomial, identifies its type, and plots the zero set. The checkbox toggles between the nonparabolic and parabolic families. All 17 types are represented
- Wolfram Demonstration Project
- Educação Superior::Ciências Exatas e da Terra::Matemática::Geometria Algébrica
- Graphical display of the 17 quadrics forms and their respective equations.
- This demonstration needs the "MathematicaPlayer.exe" to run. Find it in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
- Demonstration freeware using MathematicaPlayer
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