MR. A. CAYLEY ON A DIFFERENTIAL EQUATION. Ill 



Table III. — Days of each Direction of Wind in each Season. 



Point. 



Winter Quarter. 

 Dec, Jan., Feb. 



Spring Quarter. 

 March, April, May. 



Summer Quarter. 

 June, July, August. 



Autumn Quarter. 

 Sept., Oct., Xov. 



N 



4-8 



4*9 



37 



2-8 



N.E, ... 



11-9 



irs 



7-8 



11-5 



E 



6-8 



lO'O 



4-6 



9-0 



S.E. ... 



ii'S 



9*4 



6-4 



11*5 



S 



i3'o 



77 



8-4 



117 



S.W 



23*2 



17-6 



22*4 



21'0 



w. ... 



67 



10-4 



i3'o 



11-8 



N.W.... 



12-5 



14*5 



177 



11-4 



Four Principal Directions only. 





N. 



E. 



s. 



w. 



Winter 



17-0 

 20'9 



i6-5 



20"0 



i8-5 



23*5 

 117 

 16-4 



3o'4 



2I-0 

 22-8 

 20-5 



24-6 

 26-3 



33-2 

 28-0 



Siarmff 



Summer 



Autumn 





IX. — Note on a Differential Equation. By A. Cayley, 

 Esq., M.A., F.R.S., Honorary Member of the Society. 



Read February i8tli, 1862. 



The following investigation was suggested to me by Mr. 

 Harley's " Remarks on the Theory of the Transcendental 

 Solution of Algebraic Equations/^ communicated to the 

 Society at the Meeting of the 4th of February. 

 Mr. Harley's equation 



y'^—ny-\-{n-^i) x=o, 

 may be written 





n 



n 



or putting 

 it becomes 



n—\ I 



Xr=:U^ - — a, 



n 



n 



y = u + ay'\ 



