THE EXTREME VERSION OF POMPEIU'S PROBLEM FOR A FAMILY OF A ISOSCELES TRIANGLE AND E SQUIRE

The value of the smallest circle radius in which the given set of sets is the Pompeiu family is found. A set of isosceles triangle and squire is considered. For this family the extremal Pompeiu radius turned out to be less then the minimum of the extremal Pompeiu radii for each of the sets.Keywords: the Pompeii set, the extreme version of the Pompeii problem, the Pompeyu family, the extremePompeiu radius for a family.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-08-10
DOI
https://doi.org/10.5281/zenodo.13752218
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

THE EXTREME VERSION OF POMPEIU'S PROBLEM FOR A FAMILY OF A ISOSCELES TRIANGLE AND E SQUIRE

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
article

THE EXTREME VERSION OF POMPEIU'S PROBLEM FOR A FAMILY OF A ISOSCELES TRIANGLE AND E SQUIRE

article en

Abstract

The value of the smallest circle radius in which the given set of sets is the Pompeiu family is found. A set of isosceles triangle and squire is considered. For this family the extremal Pompeiu radius turned out to be less then the minimum of the extremal Pompeiu radii for each of the sets.Keywords: the Pompeii set, the extreme version of the Pompeii problem, the Pompeyu family, the extremePompeiu radius for a family.

Zenodo (CERN European Organization for Nuclear Research)
Donetsk State University of Management (UA)
Openalex Percentile: Top 46%
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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THE EXTREME VERSION OF POMPEIU'S PROBLEM FOR A FAMILY OF A ISOSCELES TRIANGLE AND E SQUIRE · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS