Work

Application of Renormalization Techniques to the Classical Arbelos Problem

Year: 2018

Type: preprint

Abstract: This application of renormalization techniques offers a modern take on the classical Arbelos geometry problem. Keeping within the context of the original problem, two semicircles, meeting at chord T, are together circumscribed by a third semicircle. Separate from the original Arbelos result, both circumscribed semicircle areas are found in terms of chord T and the third circumscribing semicircle radius R. This approach eliminates the additional variables of the circumscribed semicircle radii.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1808.02364

Authors: Shvets, Yelena, LiBrizzi, Jacob

Institutions: University of New England, University of Southern Maine, University of New England, University of St Andrews

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2886986569

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