Mechanical geometry theorem proving
Mechanical geometry theorem proving
A dynamic-symbolic interface for geometric theorem discovery
Computers & Education
GEOTHER: A Geometry Theorem Prover
CADE-13 Proceedings of the 13th International Conference on Automated Deduction: Automated Deduction
A web-based intelligent system for geometric discovery
ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
Towards solving the dynamic geometry bottleneck via a symbolic approach
ADG'04 Proceedings of the 5th international conference on Automated Deduction in Geometry
A bridge between dynamic geometry and computer algebra
Mathematical and Computer Modelling: An International Journal
Using free open source software for intelligent geometric computing
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part IV
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A prototype for a web application designed to symbolically process locus, proof and discovery tasks on geometric diagrams created with the commercial dynamic geometry systems Cabri, The Geometer's Sketchpadand Cinderellais presented. The application, named LAD (acronym for Locus-Assertion-Discovery) and thought of as a remote add-onfor the considered DGS, follows the Groebner basis method relying on CoCoA and a Mathematica kernel for the involved symbolic computations. From the DGS internal textual representation of a geometric diagram, an OpenMath (i.e. semantic based) description of the requested task is created using the elements in the plangeoOpenMath content dictionaries. A review of the elements included in these CDs is given and two new elements proposed, namely locusand discovery. Everything is finally thoroughly illustrated with examples. LAD is freely accessible at http://nash.sip.ucm.es/LAD/LAD.html.