Extension of Heron's Formula to a Spherical Triangle

We present an extension of the classical Heron’s formula, traditionally applied to planar triangles for calculating their areas, to spherical triangles formed by great circles on a sphere. We begin with a review of preliminary concepts and some fundamental results in spherical geometry, after which we develop the spherical version of Heron’s formula.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-03
DOI
https://doi.org/10.5281/zenodo.14269540
Primary Topic
Avian ecology and behavior
Type
article
Field-Weighted Citation Impact
0.00
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article

Extension of Heron's Formula to a Spherical Triangle

Zenodo (CERN European Organization for Nuclear Research)
Avian ecology and behavior
article

Extension of Heron's Formula to a Spherical Triangle

article en

Abstract

We present an extension of the classical Heron’s formula, traditionally applied to planar triangles for calculating their areas, to spherical triangles formed by great circles on a sphere. We begin with a review of preliminary concepts and some fundamental results in spherical geometry, after which we develop the spherical version of Heron’s formula.

Zenodo (CERN European Organization for Nuclear Research)
Universidade Federal do Tocantins (BR), Universidade Federal do Norte do Tocantins
Openalex Percentile: Top 60%
Avian ecology and behavior
DOIOpen Access PDFOpenAlex
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Extension of Heron's Formula to a Spherical Triangle · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS