IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v61y2003i2p139-152.html
   My bibliography  Save this article

A software tool for the investigation of plane loci

Author

Listed:
  • Botana, F.
  • Valcarce, J.L.

Abstract

We describe the capabilities of Lugares for obtaining the equations and graphs of plane loci. Lugares is a Windows program written in Prolog that offers a standard dynamic geometry environment and uses the symbolic capabilities of CoCoA, a computer algebra system specialized in Groebner basis computations, or Mathematica. The main novelty in Lugares consists of the link between the dynamic geometry paradigm and a symbolic approach to automatic discovery in geometry. Through this link Lugares determines as a locus almost any algebraic curve specified by geometric conditions.

Suggested Citation

  • Botana, F. & Valcarce, J.L., 2003. "A software tool for the investigation of plane loci," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(2), pages 139-152.
  • Handle: RePEc:eee:matcom:v:61:y:2003:i:2:p:139-152
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475402001738
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Montes, Antonio & Recio, Tomás, 2014. "Generalizing the Steiner–Lehmus theorem using the Gröbner cover," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 67-81.
    2. Botana, Francisco & Valcarce, José L., 2004. "Automatic determination of envelopes and other derived curves within a graphic environment," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 67(1), pages 3-13.
    3. Escribano, Jesús & Botana, Francisco & Abánades, Miguel A., 2010. "Adding remote computational capabilities to Dynamic Geometry Systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1177-1184.
    4. Roanes-Lozano, Eugenio & van Labeke, Nicolas & Roanes-Macías, Eugenio, 2010. "Connecting the 3D DGS Calques3D with the CAS Maple," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1153-1176.
    5. Botana, Francisco, 2014. "A parametric approach to 3D dynamic geometry," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 3-20.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:61:y:2003:i:2:p:139-152. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.