We survey elementary results in Minkowski spaces (ie finite dimensional Banach spaces)
that deserve to be collected together, and give simple proofs for some of them. We place …

Let C be a convex body in the Euclidean plane. The relative distance of points p and q is
twice the Euclidean distance of p and q divided by the Euclidean length of a longest chord in …

Let C be a convex body in the Euclidean plane. By the relative distance of points p and q we
mean the ratio of the Euclidean distance of p and q to the half of the Euclidean length of a …

Let C be a convex body. By the relative distance of points p and q we mean the ratio of the
Euclidean distance of p and q to the half of the Euclidean length of a longest chord of C …

The relative distance of points a and b (or the relative length of the line-segment ab) in a
convex body C is the ratio of the length of the line-segment ab to the half of the length of a …

Doliwka and Lassak proved that every convex pentagon must have both relatively short and
long sides and showed that there exist convex hexagons without any relatively short sides …

Let C be a plane convex body. The relative distance of points a, b∈ C is the ratio of the
Euclidean distance of a and b to the half of the Euclidean distance of a1, b1∈ C such that …

On the relative lengths of the sides of convex polygons Page 1 Adv. Geom. 8 (2008), 107–110
Advances in Geometry DOI 10.1515 / ADVGEOM.2008.007 c de Gruyter 2008 On the relative …

Let C be a plane convex body. The relative distance (or C-distance) of points a, b∈ R 2 is
defined by the ratio of the Euclidean length of the line-segment ab to half of the Euclidean …

Let C be a convex body in Euclidean n-space En. By the C-distance distC (a, b) of points a
and b we mean the ratio of the Euclidean distance of a and b to the half of the maximum …