IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v80y2010i6p1153-1176.html
   My bibliography  Save this article

Connecting the 3D DGS Calques3D with the CAS Maple

Author

Listed:
  • Roanes-Lozano, Eugenio
  • van Labeke, Nicolas
  • Roanes-Macías, Eugenio

Abstract

Many (2D) Dynamic Geometry Systems (DGSs) are able to export numeric coordinates and equations with numeric coefficients to Computer Algebra Systems (CASs). Moreover, different approaches and systems that link (2D) DGSs with CASs, so that symbolic coordinates and equations with symbolic coefficients can be exported from the DGS to the CAS, already exist. Although the 3D DGS Calques3D can export numeric coordinates and equations with numeric coefficients to Maple and Mathematica, it cannot export symbolic coordinates and equations with symbolic coefficients. A connection between the 3D DGS Calques3D and the CAS Maple, that can handle symbolic coordinates and equations with symbolic coefficients, is presented here. Its main interest is to provide a convenient time-saving way to explore problems and directly obtain both algebraic and numeric data when dealing with a 3D extension of “ruler and compass geometry”. This link has not only educational purposes but mathematical ones, like mechanical theorem proving in geometry, geometric discovery (hypotheses completion), geometric loci finding… As far as we know, there is no comparable “symbolic” link in the 3D case, except the prototype 3D-LD (restricted to determining algebraic surfaces as geometric loci).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1153-1176
    DOI: 10.1016/j.matcom.2009.09.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475409002961
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2009.09.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Botana, Francisco, 2014. "A parametric approach to 3D dynamic geometry," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 3-20.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Botana, Francisco, 2014. "A parametric approach to 3D dynamic geometry," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 3-20.
    2. Marco, Ana & Martínez, José-Javier, 2007. "Structured matrices in the application of bivariate interpolation to curve implicitization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(6), pages 378-385.
    3. 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.
    4. 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.
    5. Botana, Francisco & Recio, Tomas, 2016. "Some issues on the automatic computation of plane envelopes in interactive environments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 125(C), pages 115-125.
    6. 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.

    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:80:y:2010:i:6:p:1153-1176. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.