Revival of a classical topic in differential geometry: the exploration of envelopes in a computerized environment

DOI10.1080/0020739X.2015.1133852zbMath1345.97009OpenAlexW2334312897WikidataQ115309618 ScholiaQ115309618MaRDI QIDQ2816771

Nurit Zehavi, Thierry Dana-Picard

Publication date: 25 August 2016

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739x.2015.1133852

zbMATH Keywords

differential geometrycomputer algebra systemexperimental processesregisters of representationslider bar

Mathematics Subject Classification ID

Technological tools, calculators (aspects of mathematics education) (97U70) Functions of several variables (educational aspects) (97I60)

Related Items (4)

Automated exploration of envelopes and offsets with networking of technologies ⋮ Automated Study of Envelopes of One-Parameter Families of Surfaces ⋮ Envelopes and offsets of two algebraic plane curves: exploration of their similarities and differences ⋮ An automated study of isoptic curves of an astroid

Cites Work

• Envelope computation in the plane by approximate implicitization
• On the envelope of 1-parameter families of curves tangent to a semicubic cusp
• Bisoptic curves of hyperbolas
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Unnamed Item

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