Year: 2026
Type: preprint
Abstract: We introduce Lagrange functions associated with height and distance-squared functions on implicit plane curves. We show that degeneracies of these functions characterize geometric properties of the curves, such as inflections and vertices, and give geometric interpretations of the corresponding Lagrange multipliers in terms of contact with lines and circles.
Source: arXiv (Cornell University)
Author: Hasegawa, Masaru
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5208694441
OpenAlex ID: W7203890744