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A parametric approach to 3D dynamic geometry

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  • Botana, Francisco

Abstract

Dynamic geometry systems are computer applications allowing the exact on-screen drawing of geometric diagrams and their interactive manipulation by mouse dragging. Whereas there exists an extensive list of 2D dynamic geometry environments, the number of 3D systems is reduced. Most of them, both in 2D and 3D, share a common approach, using numerical data to manage geometric knowledge and elementary methods to compute derived objects.

Suggested Citation

  • Botana, Francisco, 2014. "A parametric approach to 3D dynamic geometry," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 104(C), pages 3-20.
    • Handle: RePEc:eee:matcom:v:104:y:2014:i:c:p:3-20
    DOI: 10.1016/j.matcom.2012.12.004
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    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.
    3. 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.
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