Circular Centroid Loci from Two Successive Orthogonal Projections

Two successive orthogonal projections of a triangle's vertices produce a centroid locus that is an ellipse. A reflection proof gives a circle for the 20-80-80 degree triangle, and a complex formula classifies all nondegenerate triangles with a circular locus, including the equilateral case.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887918
Primary Topic
Mathematics and Applications
Type
preprint
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preprint

Circular Centroid Loci from Two Successive Orthogonal Projections

Ziping Guo
1 links
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

Circular Centroid Loci from Two Successive Orthogonal Projections

Ziping Guo
preprint en

Abstract

Two successive orthogonal projections of a triangle's vertices produce a centroid locus that is an ellipse. A reflection proof gives a circle for the 20-80-80 degree triangle, and a complex formula classifies all nondegenerate triangles with a circular locus, including the equilateral case.

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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Circular Centroid Loci from Two Successive Orthogonal Projections — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS