Brocard families
Abstract We consider families of triangles which share the same Brocard angle. Historically, such families first occurred in the context of projections of equilateral triangles. We introduce two new Brocard families. The first one is related to triangles that are inscribed in a certain way in a triangle. The second new Borcard family occurs in a configuration related to Routh’s theorem.
Authors
- Norbert Hungerbühler (ORCID: https://orcid.org/0000-0001-6191-0022)
- Yun Zhang (ORCID: https://orcid.org/0000-0001-7016-3217)
Institutions
- ETH Zurich (CH)
- Microbiology Institute of Shaanxi (CN)
Publication Details
- Journal
- Mathematische Semesterberichte
- Published
- 2025-09-02
- DOI
- https://doi.org/10.1007/s00591-025-00395-8
- Primary Topic
- Historical Studies and Socio-cultural Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00