A Scaling-Cancellation Principle for Chord-Based Geometric Approximations
Year: 2026
Type: preprint
Abstract: This paper develops a Richardson-type scaling-cancellation framework for chord-based geometric approximations with even-power asymptotic expansions. It proves the two-scale cancellation theorem, derives the unique multi-scale Lagrange weights, gives the surviving-error law for geometric scale nodes, and records the equivalent recursive fixed-base extrapolation ladder. Applications include polygonal approximation of pi and an explicitly cited ellipse-factorization input. The paper also distinguishes fixed-resolution order improvement from the nonlinear proportional-subtended cubic residual law for approximate angle division.
Author: Baker, C. Wayne
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212288990
Cites:
Cited by:
Related to: