314 PROCEEDINGS OF THE AMERICAN ACADEMY. 



records is due in some measure to the influence of wind, which is 

 particularly active on skating speeds. 



Column XII of Table IX indicates that the mean percentage devia- 

 tion of the series of computed times against record times is 7.6 per 

 cent between 500 meters and 100 miles (160.9 kilometers). If the 

 same test is applied to the entire series between 50 yards and 100 

 miles, the mean percentage of deviation, without regard to sign, is 13.3 

 per cent. 



The following formulas pertain to the straight line of Figure 13 : 



log r = I log L - 1.4143 (24) 



log ]^= 1.4143 -i log i/ (25) 



or T= —-— seconds (26) 



25. yb 



V= — '-r- meters per second. (27) 



Men Bicycling. 



The data for bicycling have been taken from pages 267 and 268 of 

 " The World Almanac " for 1906, and are embodied in columns I and 

 II of Table X. The first five events are professional paced records 

 against time. The next series of events, from 2 miles to 100 miles, 

 inclusive, are professional motor-paced records, in competition. The 

 remainder are stated to be American competition, professional, paced, 

 hour records. The average speeds over the distances are set down in 

 column V. It will be seen that the speed between 2 miles (3.22 kilo- 

 meters) and 30 miles (48.28 kilometers) was almost precisely uniform 

 at 23.5 meters per second. In fact, it appears from the table in " The 

 World Almanac " that all of these records were made by one and the 

 same individual, on one and the same day (May 31, 1904), at Charles 

 River Park, Mass.. Again, from 31 miles (49.89 kilometers) to 50 

 miles (59.59 kilometers), the speeds are nearly uniform at 22.8 meters 

 per second (51 miles per hour), and these appear to have been 

 likewise made at Charles River Park by the same rider on the same 

 day (September 1, 1903). There is very little fall of speed between 

 the 5()-mile event and the 2-mile event, or apparently but little 

 fatigue as far as 50 miles. Beyond 50 miles, however, the speeds 

 fall off and fatigue is indicated. 



