( 259 ) 
normal distance coordinates, then it is evident that the fifteen lines 
of the configuration are the lines connecting the mid-points of 
the pairs of edges of that five-cell crossing each other. So, if we 
suppose (fig. 4) 
five points 1,2,3,4,5 not lying in a three-dimensional space to be 
the bearers of equal masses and if we determine the barycentres 
12, 13, ... 45 of the ten pairs of these masses, then the lines 
(12, 34), ... , (23, 45) connecting two of these points belonging 
to four different masses will form the fifteen lines of a configura- 
tion of SEGRE. These lines pass through one of the barycentres 
1’, 2', 3', 4’, 5’ of four of the five masses; moreover the five lines 
(1, 1), (2, 2), . ., (5, 5) pass through the barycentre 6 of the 
five masses. Out of this figure we easily find the remaining elements 
of the configuration 
Cf. (15, 3, 15, 7 |-3, 15, 6, 3 | 5, 2, 45, 3 | 7, 3, 9, 15). 
