Automatic discovery of theorems in elementary geometry

From MaRDI portal
Publication:1808565

DOI10.1023/A:1006135322108zbMath0941.03010OpenAlexW1562474977MaRDI QIDQ1808565

Yanyan Li

Publication date: 25 November 1999

Published in: Journal of Automated Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006135322108




Related Items

Automated theorem proving in GeoGebra: current achievementsOn the unavoidable uncertainty of truth in dynamic geometry provingAutomatic determination of envelopes and other derived curves within a graphic environmentThe Relation Tool in GeoGebra 5Rewriting input expressions in complex algebraic geometry proversOn protocols for the automated discovery of theorems in elementary geometryA Groebner bases-based approach to backward reasoning in rule based expert systemsA bridge between dynamic geometry and computer algebraAutomated discovery of geometric theorems based on vector equationsAutomatic deduction in (dynamic) geometry: Loci computationSome reflections about the success and bibliographic impact of the dynamic geometry system \textit{GeoGebra}Discovering Geometry Theorems in Regular PolygonsTowards an Automated GeometerDetecting truth, just on partsIs computer algebra ready for conjecturing and proving geometric inequalities in the classroom?Can I bring my calculator to the exam? Some reflections on the abstraction level of computer algebra systemsNAPOLEON'S THEOREM FROM THE VIEW POINT OF GRÖBNER BASESAutomated reducible geometric theorem proving and discovery by Gröbner basis methodSome issues on the automatic computation of plane envelopes in interactive environmentsA parametric approach to 3D dynamic geometryGeneralizing the Steiner-Lehmus theorem using the Gröbner coverAutomated deduction and knowledge management in geometryAutomated detection of interesting properties in regular polygonsConnecting the 3D DGS Calques3D with the CAS MapleAn algebraic approach to rule based expert systemsA Symbolic Companion for Interactive Geometric SystemsAutomatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner SystemsA Maple Package for Automatic Theorem Proving and Discovery in 3D-GeometryTowards the Automatic Discovery of Theorems in GeoGebraAutomatic Calculation of Plane Loci Using Gröbner Bases and Integration into a Dynamic Geometry SystemA mechanical geometerEnvelopes and offsets of two algebraic plane curves: exploration of their similarities and differencesLocus computation in dynamic geometry environmentDealing with negative conditions in automated proving: tools and challenges. The unexpected consequences of Rabinowitsch's trickReasoning about linkages with dynamic geometryA software tool for the investigation of plane lociDevelopment of automatic reasoning tools in GeoGebraA Singular web service for geometric computations




This page was built for publication: Automatic discovery of theorems in elementary geometry