﻿Balanced 
  Crosses 
  303 
  

  

  applicability 
  of 
  Mendel's 
  formula 
  to 
  all 
  cases 
  

   complying 
  with 
  the 
  given 
  conditions. 
  

  

  Intentionally 
  I 
  have 
  chosen 
  for 
  the 
  last 
  ex- 
  

   ample 
  two 
  pairs 
  of 
  antagonisms, 
  relating 
  to 
  

   the 
  same 
  pair 
  of 
  plants, 
  and 
  which 
  may 
  be 
  

   tested 
  in 
  one 
  experiment 
  and 
  combined 
  in 
  one 
  

   calculation. 
  

  

  For 
  the 
  latter 
  we 
  need 
  only 
  assume 
  the 
  same 
  

   conditions 
  as 
  mentioned 
  before, 
  but 
  now 
  for 
  

   three 
  different 
  qualities. 
  It 
  is 
  easily 
  seen 
  that 
  

   the 
  third 
  quality 
  would 
  split 
  each 
  of 
  our 
  four 
  

   groups 
  into 
  two 
  smaller 
  ones 
  in 
  the 
  proportion 
  

   of 
  % 
  :%. 
  

  

  We 
  would 
  then 
  get 
  eight 
  groups 
  of 
  the 
  follow- 
  

   ing 
  composition 
  : 
  

  

  9/16 
  X 
  3/4 
  27/64 
  or 
  42.2% 
  

  

  9/16X1/4= 
  9/64 
  " 
  14.1% 
  

  

  3/16X3/4= 
  9/64 
  : 
  ' 
  14.1% 
  

  

  3/16 
  X 
  1/4= 
  3/64 
  " 
  4.7% 
  

  

  3/16X3/4= 
  9/64 
  " 
  14.1% 
  

  

  3/16 
  X 
  1/4 
  = 
  3/64 
  " 
  4.7% 
  

  

  1/16 
  X 
  3/4 
  = 
  3/64 
  " 
  4.7% 
  

  

  1/16 
  X 
  1/4= 
  1/64 
  " 
  1.6% 
  

  

  The 
  characters 
  chosen 
  for 
  our 
  experiment 
  in- 
  

   clude 
  the 
  absence 
  of 
  stem 
  and 
  flowers 
  in 
  the 
  

   first 
  year, 
  and 
  therefore 
  would 
  require 
  a 
  second 
  

   year 
  to 
  determine 
  the 
  flower-color 
  on 
  the 
  per- 
  

   ennial 
  specimens. 
  Instead 
  of 
  doing 
  so 
  I 
  have 
  

   taken 
  another 
  character, 
  shown 
  bv 
  the 
  teeth 
  of 
  

  

  k 
  

  

  the 
  capsules 
  when 
  opening. 
  These 
  curve 
  out- 
  

  

  