SOLIDS ON SURFACES. 181 



junction with the two last equations which are of the firsl 

 order involving the same variables, will enable us to determine 

 t'ullv and hv finite integrations all the circumstances of the 

 oscillatory motion. The arbitrary constants will be < sight in 

 number, six of them being brought in by the four equations 

 just referred to, and two of them, R and /•, arising from the 

 third equation of motion W '— . o. These four equations will 

 be found to be 



*.%+* + B,%+B% + B,b- + B.a-+B, X .+B. = o. 



"i de 3 it ^ * it 



the value of their coefficients being as follows, 



= o 



~ o 



