APPLICATION OP VORTEX CONSTRUCTION. 



61 



curves, and the ratio of the numbers indicates the degree of 

 asymmetry of the system. 



Any attempt to express a fractional ratio leads to misconception 

 of the phenomena. Such a construction, however, can only be 

 applied to a system in which it is still possible to observe the 



Fig. 28.— Log. spiral construction (3 + 5). 



actual curves of contact, either on the mature plant or in the bud ; 

 the Sehimper system may still remain a plausible account of the 

 mature leafy axis, which has passed through a possibly uneven 

 zone of elongation, since it certainly supplies a demand; and, so 

 long as it is remembered that it is only an approximation, no great 

 harm will be done, and it will continue to be as useful as in the past. 



