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PROCEEDINGS OF THE AMERICAN ACADEMY. 



lines are speed-distance lines. The mean speeds of the various events 

 in Table I to IX inclusive are plotted with relation to the descending 

 lines in such a manner as to reveal their deviations as clearly as 



possible. 



Deductions from the Results. 



Starting with the approximate equation 



T ^ seconds 



(28) 



as borne out in the preceding discussions of records in eight different 

 kinds of races, where c is a constant for each type of race, it follows 

 that as the length of the course, X, increases, the time occupied in the 

 race will increase according to the following table : 



TABLE XII. 

 Effect of Increase of Distance upon Increase in Time. 



Thus, if the equation (2>S) is correct, doubling the distance means 

 increasing the time by 118 per cent, and increasing the distance 60 



