478 BOTANICAL GAZETTE [JUNE 
round seed by 4A, the angular seed by a, the yellow endosperm by &, and the 
green endosperm by 2, then the relations as found by experiment were 
expressed by the term 48+ .46+a8+ab+ 24 Bb+2aBb+2AaB+2Aab 
+ 4Aa8b, or a combination of A +24Aa+aand B+ 2454+ 6. For three 
differing characteristics the combination was A + 24a+a, B+2B6+4, 
C+ e2Ce +e. 
With some further experiments, Mendel then concludes that the offspring 
of hybrids, i in which several essentially different characteristics are united, 
are the members of a series of combinations in which each two differing char- 
acteristics are combined in a developmental series. This at the same time 
_ proves that the behavior of two differing characteristics in hybrid combination 
‘is independent of other variations in the two parents. Developing his mathe- 
matics still further, he shows that if 2 designate the number of characteristic 
_ differences in the two parent plants, then 3° is the number of the terms in the 
co es, 4" the number of ne individuals, and 2" the number of the com- 
tha: 
