Title | **Automatic calculation of plane loci using Gr\"obner bases and integration into a dynamic geometry system.** |

Author(s) | Michael Gerhäuser, Alfred Wassermann |

Type | Book, Chapter in Book, Conference Proceeding |

Abstract | We describe the integration of a well known algorithm for computing and displaying plane loci based on ideal elimination using Gröbner bases in the dynamic geometry software JSXGraph. With our approach it is not only possible to determine loci depending on other loci but it is also possible to extend JSXGraph to deal with loci depending on arbitrary plane algebraic curves. For Gröbner bases calculations we use CoCoa, a computer algebra system with its focus on computations in commutative algebra. |

Keywords | dynamic geometry system, gröbner bases, automatic discovery of plane loci |

ISBN | 978-3-642-25069-9/pbk |

URL |
http://link.springer.com/chapter/10.1007%2F978-3-642-25070-5_4 |

Language | English |

Pages | 68--77 |

Publisher | Berlin: Springer |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |