260 



PROCEEDINGS OF THE AMERICAN ACADEMY. 



ured in Centigrade degrees ; proportional integral weights from 1 to 

 6 were then used in forming the weighted means in Table VI. The 

 relative weights of the means themselves which are given in the last 

 column of Table VI are proportional to the square roots of the sums of 

 the above products which entered into each mean ; they are given 



TABLE VI. 

 Summary of Weighted Means from Tables I to V. 



merely as a rough guide for anyone who may wish to use these means 

 for other purposes. If weights had been assigned to Dodge's means on 

 the same basis, they would have been misleadingly large because all 

 the temperature differences retained were large (see the Appendix). 

 The numbers in parentheses in the last column of Table VI are the 

 number of separate coefficients involved in each of the means. 



The small figure in the upper corner of Figure 6 is Buckingham's 

 figure (Figure 1 of this paper) replotted on a different scale with the 



