168 
that instant or the epoch, » the speed or the angular variation . 
per unit of time, expressed in degrees; then, if we ade 
for unit of time the mean solar day, the duration of le 
periodical variation will be: | и 
560° 
NR 
. h б 
If now these quantities у are classified according loa 
number 14974 
5609 
7 лэх: ; H 
N 
then it is easily found that, when the arrangement is 
continued over т columns, Ше К sums satisfy the equation: | 
d Kn 
sim mM = 
дыз” sin (na + C+(m—ı) № „ 
. Kn } 9 
sun n^ E 
and that the K means may be represented by the formula: 
a Say K 
Sin MT = 7 K | | 
өн (ае Hm) А U... (B) 
m sin 7 R ( В | 
The curve of the resulting means, therefore, bears the same 
character as the original curve, because it has the same speed, 
but the amplitude A is altered by multiplication by the сой- 
ficient : 
sin т e 
R S 
m sin = = 
R 
the greatest value of which is equal to unity when К 
whereas the phase has been shifted by a quantity: 
mek | 
When K=R this quantity is equal to a plural number of 2 
