Revisiting Taxicab Apollonius Circles

2025/05/31 by Kevin P. Thompson, Thompson, Kevin P.
Mathematics · Social Sciences · #FOS: Mathematics #General Mathematics (math.GM) #Historical Geography and Cartography #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2506.12058

openalex publication_date 2025/05/31 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

The existence of excircles and an Apollonius circle for a triangle in taxicab geometry are connected to the concept of inscribed triangles.

Citations

• Taxicab Triangle Incircles and Circumcircles
• Taxicab Angles and Trigonometry

Related

• Taxicab Triangle Incircles and Circumcircles
• Apollonian sets in taxicab geometry
• Generalization of the Apollonius Circles
• A Pure Taxicab Perspective on Isometries
• Taxicab Butterflies