ABSTRACT

The use of barycentric coordinates in Euclidean geometry, dates back to Möbius, is described, for instance, in [146, 50], and the historical contribution of Möbius’ barycentric coordinates to vector analysis is described in [23, pp. 48-50]. In this section we set the stage for the adaptation in Sect. 5.3 of barycentric coordinates for use in hyperbolic geometry by illustrating the way Theorem 4.7, p. 117, suggests the introduction of barycentric coordinates as a mathematical tool in Euclidean geometry.