Chase.] ^*^^ [Nov. 4, 



The greatest difference in tbe above table of 33 elements is less than 25 

 per cent, of the phyllotactic unit. Gerber's longest table, for a single di- 

 visor, contains but 25 elements ; his greatest difference is more than 36 

 per cent, of his empirical divisor. If the eight elements which present 

 the greatest phyllotactic difference were rejected, so as to make the tables 

 of the same length, the greatest remaining difference would be less than 

 15 per cent, of the divisor. The photodynamic approximation is therefore 

 much closer than the empirical. 



136. The Empirical Divisors are Phyllotactic. 



Gerber says that "no simple relation exists among " his divisors, there- 

 fore they "have no value in themselves." The relation which he was 

 unable to discover, is phyllotactic, as will be seen by the following com- 

 parisons : 



Gerber. Phyllotactic. 



