REACTION AT 35^ 45^ AND 6o° 359 



From these figures it appears that on increasing the 

 angle beyond 45°, the ratio of reactions at 60° and 45° is as 

 I • 27: 1, while the ratio of sines of 60° to 45° is as i -22 : i. 



On decreasing the angle, on the other hand, the ratios 

 are the following : 



Ratio of reactions at 45° and 35° is as i : 0-39 



sines 



of 45' 



33 



- O 



o-8i 



Fig. 209. Curves showing values of sines (dotted) and of 

 reactions (thick hne). The latter produced cuts abscissa at 

 31*5°, indicating absence of excitation at a critical angle. 

 Ordinate represents reaction, abscissa the angle of 

 inclination. (Tropaeolum.) 



The reaction at smaller angles is thus found to be dis- 

 proportionately lower. 



Multiplying the above ratios by 100, in order to avoid 

 decimals, they become : 



Reactions 



Sines .... 



The relation between angle of inclination and resulting 



reaction above and below 45°, found from the results just 



given, is shown in fig. 209 ; the dotted curve represents 



