Abstract
Unfortunately, the next to last paragraph on p. 3700 of the published version of this article contained mistakes. The complete corrected paragraph is printed below: We start now with carrying out two geometric constructions which are needed to define the unit of measurement of angles in radians in the osculating two-plane π(x1 ′ , x2 ′ ) at a point p(φ0) of the trajectory L0. In the first, a chord of the osculating circle of L0 at p(φ0) is drawn in the direction parallel to the tangent vector at p(φ0). The chord intersects the osculating circle at two points, say p1′ and p2′, cutting off an arc of length A, which subtends an angle ψ at its centre O. The second construction consists in drawing two two-dimensional timelike planes π1 and π2 which are Minkowski-orthogonal to the osculating two-plane at p(φ0) and pass along one of the segments [O, p1′] or [O, p2′] correspondingly. The planes intersect L0 at two points p1 and p2 which are the ends of an arc A(p1, p2) of it, and the proper length of this arc is denoted by 0.
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