Global Geometry of Polygons. I: The Theorem of Fabricius-Bjerre

DOI10.2307/2040070zbMath0339.53004OpenAlexW4241600549MaRDI QIDQ4107565

Thomas F. Banchoff

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2040070

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Embeddings and immersions in PL-topology (57Q35)

Related Items

On the numbers of n-tangencies of polygons in odd dimensional Euclidean spaces, Invariants of curves in \(\mathbb RP^2\) and \(\mathbb R^2\), Convex Partitions with 2-Edge Connected Dual Graphs, A proof of a relation between the numbers of singularities of a closed polygon, Convex partitions with 2-edge connected dual graphs, Differential geometric connection of finite order on composite manifold, infinitesimal polygonal loops and generalized Fermi-Walker transport, Differential geometric connection of finite order on composite manifold, infinitesimal polygons and geometric interpretation of Bianchi identity, Integral relations for pointed curves in a real projective plane, Geometry of plane curves, An Inequality for Double Tangents, Global inequalities for curves and surfaces in three-space, Double Normals and Tangent Normals for Polygons

Cites Work

• On the Double Tangents of Plane Closed Curves.
• Global theorems for closed plane curves