230 The Rev. Samuel Haughton's Account of Experiments made 



Computing the four values of i from this formula, we obtain finally, for the 

 two coefficients, 



(l)/v = -0313 (1)^=0147 



(2)iv = -0311 (2) ^ = -0147 



(3) K = 0305 (3) k = -0150 



(4) K = -0307 (4) k = -0149 



(■5) 



In order to appreciate the degree of accuracy obtained in these experiments, 

 let us transform equation (4) into the following: 



—. A —A sect —r = ; 



Vs v^s 



and substitute in its left hand side the values ofZ'sec i and mean values of^found 

 above. The results of this substitution for the four series of experiments are 

 as follows, in which <t> denotes the left hand side of the equation just given. 



FrasT Series. 



Second Series. 



Third Series. 



Fourth Series. 



It is evident, on inspection of the foregoing results, that 4> = is true to 

 two places of decimals ; and it is not difficult to prove, that it may be inferred 

 from this, that the values of K and k (5) are true to thi'ee places of decimals. 



