Eigenschaften gewisser Vierecke, die axialsymmetrischen Bereichen um- bzw. einbeschrieben sind
Ein ebenes Extremalproblem.
Ein ebenes Transversalenproblem.
Eine Extremalaufgabe für Bereiche fester Breite
Eine Systematisierung konvexer Vierecke der Ebene aus verbandstheoretischer Sicht
Einschliessung ebener Kurven.
Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem
Estimating the diameter of the space of planar convex figures with respect to an affine-invariant metric.
Étude des différences de corps convexes plans
We characterize the linear space ℋ of differences of support functions of convex bodies of 𝔼² and we consider every h ∈ ℋ as the support function of a generalized hedgehog (a rectifiable closed curve having exactly one oriented support line in each direction). The mixed area (for plane convex bodies identified with their support functions) has a symmetric bilinear extension to ℋ which can be interpreted as a mixed area for generalized hedgehogs. We study generalized hedgehogs and we extend the...
Euclidean perimeter of classes of optimal convex lattice -gons.
Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature
We relate the total curvature and the isoperimetric deficit of a curve in a two-dimensional space of constant curvature with the area enclosed by the evolute of . We provide also a Gauss-Bonnet theorem for a special class of evolutes.