GEX

Geometry Expert (GEX) is a software for dynamic diagram drawing and automated geometry theorem proving and discovering. As a dynamic geometry software, GEX can be used to build dynamic visual models to assist teaching and learning of various mathematical concepts. As an automated reasoning software, we can build dynamic logic models which can do reasoning themselves. 1) Geometry Expert (GEX) is a powerful computer program for geometric reasoning. Within its domain, it invites comparison with the best of human geometry provers. It implements most of the effective methods for geometric reasoning introduced in the past twenty years, including the deductive base method, Wu’s method, the area method, the Groebner basis method, the vector method, and the full-angle method. With these methods, users may automated prove geometry theorems, to discover new prrperties of theorems, and to generate readable proofs for mant geometry throerms. 2) By dynamic visual models, we mean models built by computer softwares that can be changed dynamically. With GEX, we can build four classes of dynamic visual models: geometric transformations, loci generation, diagrams of functions, and loci generation.


References in zbMATH (referenced in 33 articles )

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  1. Quaresma, Pedro; Santos, Vanda; Graziani, Pierluigi; Baeta, Nuno: Taxonomies of geometric problems (2020)
  2. Boutry, Pierre; Braun, Gabriel; Narboux, Julien: Formalization of the arithmetization of Euclidean plane geometry and applications (2019)
  3. Kovács, Z.; Recio, T.; Sólyom-Gecse, C.: Rewriting input expressions in complex algebraic geometry provers (2019)
  4. Nikolić, Mladen; Marinković, Vesna; Kovács, Zoltán; Janičić, Predrag: Portfolio theorem proving and prover runtime prediction for geometry (2019)
  5. Quaresma, Pedro: Towards an intelligent and dynamic geometry book (2017)
  6. Botana, Francisco; Hohenwarter, Markus; Janičić, Predrag; Kovács, Zoltán; Petrović, Ivan; Recio, Tomás; Weitzhofer, Simon: Automated theorem proving in GeoGebra: current achievements (2015)
  7. Botana, Francisco; Kovács, Zoltán: A Singular web service for geometric computations (2015)
  8. Kovács, Zoltán: The relation tool in GeoGebra 5 (2015)
  9. Abánades, Miguel Á.; Botana, Francisco; Escribano, Jesús: Automated generation of equations for linkage loci in a game physics system (2014) MathEduc
  10. Botana, Francisco; Abánades, Miguel A.: Automatic deduction in (dynamic) geometry: Loci computation (2014)
  11. Janičić, Predrag; Narboux, Julien; Quaresma, Pedro: The area method. A recapitulation (2012)
  12. Jiang, Jianguo; Zhang, Jingzhong: A review and prospect of readable machine proofs for geometry theorems (2012)
  13. Pham, Tuan Minh; Bertot, Yves: A combination of a dynamic geometry software with a proof assistant for interactive formal proofs (2012)
  14. Génevaux, Jean-David; Narboux, Julien; Schreck, Pascal: Formalization of Wu’s simple method in Coq (2011)
  15. Ye, Zheng; Chou, Shang-Ching; Gao, Xiao-Shan: An introduction to Java geometry expert. (Extended abstract) (2011)
  16. Chen, Xiaoyu: Electronic Geometry Textbook: a geometric textbook knowledge management system (2010)
  17. Escribano, Jesús; Botana, Francisco; Abánades, Miguel A.: Adding remote computational capabilities to dynamic geometry systems (2010) ioport
  18. Janičić, Predrag: Geometry constructions language (2010)
  19. Roanes-Lozano, Eugenio; van Labeke, Nicolas; Roanes-Macías, Eugenio: Connecting the 3D DGS Calques3D with the CAS Maple (2010)
  20. Ye, Zheng; Chou, Shang-Ching; Gao, Xiao-Shan: Visually dynamic presentation of proofs in plane geometry. II: Automated generation of visually dynamic presentations with the full-angle method and the deductive database method (2010)

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