304 PROCEEDINGS OF THE AMERICAN ACADEMY. 



The straight line of Figure K) corresponds to the following 

 equations : 



log r = I log L - 1.064G (16) 



and log r= 1.0646 - i log Z (17) 



or T= : seconds (18) 



11. b 



and V = — T- meters per second. (19) 



Table VI is compiled from the data contained in the article on 

 " Rowing " appearing on page 208, Vol. X, of the " Universal Encyclo- 

 pedia" published in 1900. The entries in columns I, II, III, and V of 

 table VI are taken directly from that article. The remaining columns 

 give the deductions therefrom, as in preceding cases. The logarithms 

 of the times are plotted against the logarithms of the distances in 

 Figure 11. The 8-oar line is drawn through the 4-mile record point. 

 The 1-mile record is the only point seriously off the line, in the direc- 

 tion of low speed. The 1-mile speed is seen in column VI to be 

 lower than the 4-mile speed. The 4-oar line is also drawn through the 

 4-mile record point. The 3-mile event is the only one seriously off 

 this line, in the direction of high speed. The speed over this course 

 was 5.15 meters per second, which is only about 7 per cent short of the 

 record speed for the 1-mile event. The single-pair-of-sculls line is 

 drawn through the 5-mile record point. The ^-mile and the 1-mile 

 events are the only ones seriously off this line. It is possible that the 

 quarter-mile is affected by starting inertia. The mean deviation for 

 the entire series is 6 per cent. If we discard the 1-mile 8-oar event 

 and the |-mile singles event, the mean deviation of the remaining 

 series is 4.3 per cent. This seems to be a good showing for the loga- 

 rithmic straight line considering the extent to which both wind and tide 

 are capable of influencing rowing speeds. 



All three straight lines in Figure 1 1 are drawn to make an angle of 

 48° 22' with the axis of distances. 



The formulas deducible from the three straight lines of Figure 11 

 are presented in Table VII. 



