( 743 ) 
§ 3. S=3(2n,=n,+ 0). In general disturbing terms of the 
second kind of order A” appear. So the disturbing terms of the first 
kind can be left out, because they are at least of order 4? and 
because in the equations we use the disturbing terms of the lowest order 
only. The disturbing terms of order /? appear only in the equations 
for q, and q,, and they contain no other coordinates but g, and I: 
On account of this these two equations, in as far as they must be 
considered to give the first approximation, get the same form as 
we have formerly found for an arbitrary mechanism with two 
degrees of freedom only. The coordinates q, and q, bear themselves 
as if they were the only coordinates. As in the equations for 
Ys Js» -*» + + Ye no disturbing terms of order /? appear, these coor- 
dinates bear themselves for first approximation as if no relation existed. 
§4. S=4(8n,=n,-+ 4). Both kinds of disturbing terms are 
at least of order /’. Disturbing terms of the second kind of order 
h* appear in the equations for q, and q, only and they contain no 
other coordinates than q, and g,; so they are the same terms as 
those which appear in case S = 4 for a mechanism with two degrees 
of freedom as disturbing terms of the second kind. 
However it is clear that disturbing terms of the first kind of order h’ 
appear in all equations and that they will contain the coordinates 
q>- +++ Ge as well as g, and qg,. We reduce them in the following 
manner. 
In the first equation disturbing terms of the first kind of order /? are those 
with : ended erde 010s. - ree aU EEEN KOE: 
VEV PR Gk 11242 WiI1s7s Dik 
If we take as solution at first approximation 
War : 
Gr = toe (n,t + 2n-B,) (7 = 1,255... 4) 
Ny 
‘ 
then in the terms of higher order we may substitute - 7,°g, for 
dr and a, —n,*q," for q,*. We then retain as disturbing terms of the 
first kind in the first equation only those with 
din di is Wide <= O59 6 
. a . 
We then substitute —*.q, etc. for g,g,*. 
Int a 
2 
If we deduce in the same way the disturbing terms of the first 
kind also in the remaining equations, we shall find that these terms 
are in the different equations the derivatives resp. according to 
Qi Y2+++ Qk Of 
