1 citations · 1 across the 2 of their papers we have counts for
4 papers
Bitangent planes of surfaces and applications to thermodynamics
Peter Giblin, Graham Reeve
The classical van der Waals equation, applied to one or two mixing fluids, and the Helmholtz (free) energy function yield, for fixed temperature , a curve in the plane $\mat…
Contact with circles and Euclidean invariants of smooth surfaces in R^3
Peter Giblin, Graham Reeve, Ricardo Uribe-Vargas
We investigate the vertex curve, that is the set of points in the hyperbolic region of a smooth surface in real 3-space at which there is a circle in the tangent plane having at le…
Equidistants for families of surfaces
Peter Giblin, Graham Reeve
For a smooth surface in this article contains local study of certain affine equidistants, that is loci of points at a fixed ratio between points of contact of parall…
Minkowski Symmetry Sets for 1-Parameter Families of Plane Curves
Graham Reeve
In this paper the generic bifurcations of the Minkowski symmetry set for 1-parameter families of plane curves are classified and the necessary and sufficient geometric criteria for…