An analytic proof of a theorem of Grace

DOI10.1007/s00022-023-00691-5zbMath1526.51009OpenAlexW4386951742MaRDI QIDQ6084652

Hiroshi Maehara, Horst Martini

Publication date: 6 November 2023

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-023-00691-5

zbMATH Keywords

tetrahedrabarycentric coordinatesthree-circles theoremtheorem of Gracetangent sphere

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Elementary problems in Euclidean geometries (51M04) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Cites Work

• On the geometry of Minkowski planes
• From line-systems to sphere-systems -- Schläfli's double six, Lie's line-sphere transformation, and Grace's theorem
• Helly-type theorems for spheres
• The Feuerbach circle and orthocentricity in normed places
• Tangent Spheres of Tetrahedra and a Theorem of Grace
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An analytic proof of a theorem of Grace