The right-hand expression within the bracket we call S. This function S is continuous over and has no discontinuity points with reference to its derivative. This function can no longer be expressed by simple means. However, it can very easily be generated graphically by drawing the ellipse and its circumscribed circle and measuring the distances indicated in Fig. 20.

  XXXVI  

For our case with the quantities a and b it is a function that slightly differs from 1 and describes a sinusoidal curve.

0	1,0
10	1,0024
20	1,0065
30	1,097
40	1,0130
50	1,0270
60	1,0130
70	1,0085
80	1,004
90	1,0