Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
Archives

The Samuelson condition and tangent lines of quadratic curves

##plugins.themes.bootstrap3.article.sidebar##

pdf
Published Sep 2, 2026
DOI https://doi.org/10.15673/pigc.3344

##plugins.themes.bootstrap3.article.main##

Yasuhiro Kurokawa
Shibaura Institute of Technology

Abstract

We show that the Samuelson condition, an area condition, is not satisfied by the Lagrangian 2-web formed by the tangent lines to a non-degenerate real quadratic curve.

Keywords:
web geometry, Samuelson condition, Lagrangian 2-web, quadratic curves, envelope

##plugins.themes.bootstrap3.article.details##

How to Cite
Kurokawa, Y. (2026). The Samuelson condition and tangent lines of quadratic curves. Proceedings of the International Geometry Center, 19(2), paper 9, 9 pages. https://doi.org/10.15673/pigc.3344
Issue
Vol 19 No 2 (2026)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.

Provided they are the owners of the copyright to their work, authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of the work (e.g., post it to an institutional repository, in a journal or publish it in a book), with an acknowledgment of its initial publication in this journal.

Authors are permitted and encouraged to post their work online (e.g., in institutional repositories, disciplinary repositories, or on their website) prior to and during the submission process.