THE 



SCIENTIFIC PROCEEDINGS 



OF THE 



ROYAL DUBLIN SOCIETY. 



Vol. XIV. (N.S.), No. 36. APRIL, 1915. 



SIMPLIFIED SOLUTIONS OF CERTAIN MEN- 

 DELIAN PROBLEMS IN WHICH FACTORS 

 HAVE INSEPARABLE EFFECTS. 



JAMES WILSON, M.A., B.Sc, 



PROFESSOB OF AGRIODLTURE IN THE KOYAL COLLEGE OF SCIENCE, DUBLIN. 



{^Authors alone are responsible for all opinions expressed in Iheir Communications.^ 



DUBLIN : 



PUBLISHED BY THE ROYAL DUBLIN SOOIBTY, 



LKINSTKR HOUSK, DOBI.IK. 

 WILLIAMS AND NORGATE, 



H, HKNKIKT'IA STB.EKT, COVENT GARDEN, LONDON, W.C. 

 1915. 



P}-ice Sixpence. /rj^ov 



iLMM. 



