Exploration of dual curves using a dynamic geometry and computer algebra system

DOI10.1007/s11786-019-00433-4zbMath1453.68223OpenAlexW2996276489WikidataQ114688592 ScholiaQ114688592MaRDI QIDQ782690

Roman Hašek

Publication date: 28 July 2020

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-019-00433-4

zbMATH Keywords

Gröbner basesalgebraic curvecomputer algebra systemdual curveteacher educationdynamic geometry software

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Software, source code, etc. for problems pertaining to geometry (51-04) Mathematics teacher education (97B50) Geometry education (97G99)

Uses Software

• GeoGebra
• Giac

Cites Work

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• A proposal for the automatic computation of envelopes of families of plane curves
• Computation of the dual of a plane projective curve
• Computing envelopes in dynamic geometry environments
• Giac and GeoGebra – Improved Gröbner Basis Computations
• Worlds Out of Nothing
• Computational line geometry

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