Geodesic
A Note on the Angles in an n-Dimensional Simplex
Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 58-61

Voir la notice de l'article provenant de la source Cambridge University Press

Three different sets of equations connecting the sums of angles in an n-dimensional simplex have been given by Sommerville [7], Höhn [5], and Peschl [6]. The equivalence of the first two sets of equations has been proved by Sprott [7].In the present note it is shown that results are simplified if we consider averages instead of sums, and that the averages form a sequence which is self-reciprocal with respect to the transformationThe equivalence of the sets of equations is then easily proved by symbolic methods. 
A Note on the Angles in an n-Dimensional Simplex. Glasgow mathematical journal, Tome 4 (1959) no. 2, pp. 58-61. doi: 10.1017/S2040618500033888
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