Details:
Title  Connecting the 3D DGS Calques3D with the CAS Maple  Author(s)  Nicolas van Labeke, Eugenio RoanesLozano, Eugenio RoanesMacías  Type  Article in Journal  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 timesaving 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 3DLD (restricted to determining algebraic surfaces as geometric loci).  Keywords  3D Dynamic Geometry Systems, Computer Algebra Systems, Mechanical theorem proving in geometry, Gröbner bases, Wu’s method  ISSN  03784754 
URL 
http://www.sciencedirect.com/science/article/pii/S0378475409002961 
Language  English  Journal  Mathematics and Computers in Simulation  Volume  80  Number  6  Pages  1153  1176  Year  2010  Note  Fifth IMACS Seminar on Monte Carlo MethodsApplications of Computer Algebra 2007 (ACA 2007) special session on Nonstandard Applications of Computer AlgebraComputational Biomechanics and Biology, a collection of papers presented at the 1st IMACS Internation  Edition  0  Translation 
No  Refereed 
No 
