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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/370542
Title: 
Which Quadric Is Which?
Author(s): 
Fabre, Claude
Language: 
eng
Description: 
  • 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
Issue Date: 
  • 15-Jun-2010
  • 21-Mar-2013
  • 21-Mar-2013
  • 21-Mar-2013
Publisher: 
Wolfram Demonstration Project
Keywords: 
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Geometria Algébrica
  • Surfaces
Notes: 
Graphical display of the 17 quadrics forms and their respective equations.
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Find it in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/22997
URI: 
http://acervodigital.unesp.br/handle/unesp/370542
Rights: 
Demonstration freeware using MathematicaPlayer
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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