562 REPORT— 1897. 



5. New Harmonic Analyses. 

 By Professor A. A. Michelson and S. W. Stratton. 



6. The Multipartite Partitions of N\imbers which possess Symmetrical 

 Graphs in three Dimensions. By Major P. A. MacMahon, F.R.S. 



7. On the Quinquisection of the Cyclotomic Equation. 

 By J. C. Glashan, Ottawa. 



If 



then will 



A = 25{h + 7>)-2ip + l) 



{2C - A(B -p) }- = 125(/j - n) - [ (B + 5py - ipA.^} • 



(^5-l)/(x-l) = 

 a = A + 5(A — n) \/5 

 ^ = A-5(h-n)^5 

 y^ = a^ — 16p 



64y,'=pia + y)(0 + d)- 



.?, = J( - 1 + y,5-« + y„5-2« + y,^ + y/<) 

 « = 0,1,2,3,4. 



Two tables followed the paper, Table 1 giving the values of /, (/, k . . . q. 

 Table 2 giving the values of the coefficients of the quintic in ?/, for all values of /> 

 from 11 to 641 inclusive. 



8. A Kinematic Representation of Jacohi's Theory of the Last 

 Multiplier. By J. Larmor. 



Consider steady flow, in a region defined by Cartesian coordinates (/r,, x,^, x^, 

 of fluid whose density M varies from point to point, but remains constant at the 

 same point. If (Mj, Mj, M3) denote the velocity, the equations of the stream lines 

 are the integrals of the differential system 



dx-y _ dx^ _ dx^ 



Mj Mo M3 



Suppose that one integral is known in the form 



<i> {x„ ,r„ .r,) = C, 



