170 : 
according to the method of the least squares. In this manner 
however, it is not the true amplitude of formula (2) that is 
found, but a value of a very complicated description, because 
— о мг 
„ eee 60 560 ` 
the speed of the variation is in all cases В and not 7 
The common way of calculating the amplitude is based on 
the fact that 
У sin пт. cos nz = 0 
and E sin?na = X cost nx = 0.5 R: 
heye however the expressions 
X зіп пл. cos in and 2 cos u. sin те 
will differ from zero in the same proportion as K differs from k; 
the same remark holds good for the expressions : 
X зїп n sina and cos na. cos n 
which, generally, are not equal to 0.5 K. 
If, therefore, the formula (5) be written 
A, = А’ sin (по + С) 
we find for the components a, and ), instead of: 
a4 = A’ sm С. by = А! cos С 
the values: 
2 : ў 
— А' сов С. X sin nr cos nt 
К 
2 
а —x^ sin C. 27 COS па: COS net 
2 Ж 2221 
b, —— А sin C. X cos nx sin n'a + -—А' cos C. X sin ng sin n 
K K 
When R= 25.8, K —28 we find: 
A= A sin C x 0.995 + A“ cos С x 0.254 
b, = A sin С x 0.359 + А cos С. x 0.915. 
Sufficient evidence is given by these numerical examples that | 
the method of Новхзтеих cannot well be applied to a large series ` 
of data and therefore must be considered to be inadequd - 
when very small quantities are concerned. In high latitudes U 
where the amplitude of magnetical elements is larger, Ша U 
method has been proved to be very valuable owing t° м 
indicating the existence of a periodical variation, but even ther? 
