Envelopes and offsets of two algebraic plane curves: exploration of their similarities and differences
From MaRDI portal
Publication:2071535
DOI10.1007/s11786-021-00504-5zbMath1485.14108OpenAlexW3156052520MaRDI QIDQ2071535
Publication date: 28 January 2022
Published in: Mathematics in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11786-021-00504-5
Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Automatic deduction in (dynamic) geometry: Loci computation
- A bridge between dynamic geometry and computer algebra
- Rational algebraic curves. A computer algebra approach
- Partial degree formulae for plane offset curves
- Basic principles of mechanical theorem proving in elementary geometries
- Mechanical theorem proving in geometries. Basic principles. Transl. from the Chinese by Xiaofan Jin and Dongming Wang
- A proposal for the automatic computation of envelopes of families of plane curves
- The Gröbner cover
- Degree formulae for offset curves
- Automatic discovery of theorems in elementary geometry
- Automatic determination of envelopes and other derived curves within a graphic environment
- Exploring the isoptics of Fermat curves in the affine plane using DGS and CAS
- Automated exploration of inner isoptics of an ellipse
- Some issues on the automatic computation of plane envelopes in interactive environments
- Locus computation in dynamic geometry environment
- On the usage of different coordinate systems for 3D plots of functions of two real variables
- An automated study of isoptic curves of an astroid
- Envelopes -- notion and definiteness
- Computing envelopes in dynamic geometry environments
- Local shape of offsets to algebraic curves
- Giac and GeoGebra – Improved Gröbner Basis Computations
- Revival of a classical topic in differential geometry: the exploration of envelopes in a computerized environment
This page was built for publication: Envelopes and offsets of two algebraic plane curves: exploration of their similarities and differences