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 Sketchpad and
Cinderella is presented. The application, named LAD (acronym for
Locus-Assertion-Discovery) and thought of as a remote
add-on for 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
plangeo OpenMath
content dictionaries. A review of the elements included in these CDs is given and two new elements proposed, namely
locus and
discovery. Everything is finally thoroughly illustrated with examples. LAD is freely accessible at
http://nash.sip.ucm.es/LAD/LAD.html
.