( 154) 
fore, the sums of the probable errors of the averages are well 
below the changes of position. 
of these changes is given in /. 7. 
maining after the operation show a considerable movement 
The removal of leaflet Z left the 
other two leaflets unsymmetrical with respect to the petiole 
in a clockwise direction. 
axis. 
A graphical representation 
Both of the leaflets re- 
Their condition therefore corresponds in all essential 
points with that of leaflets C and B of Parthenocissus and in 
like manner we find that the change in leaflet 2 is very 
similar to that in C’, while the change in Y is similar to that 
in B. Wemay therefore here also consider the regulation 
as a step toward the production of a symmetrical system, a 
two-leaved one tn this case. 
Lupinus albus. — A comparison of the averages in Tables 
V and VI gives us a change in position of + 23.3° in C, 
+ 11.3° in B, — 2.7° in A, and + 9.2° in & (Table IX). 
Here as before the sum of the probable errors is considerably 
Tasie IX. 
LUPINUS ALBUS (ALL CASES). CHANGE OF POSITION OF LEAFLETS. 
A B Cc D Ez 
oO ° fe} ° fs} ° fe] o ° ° 
Normal Series. 55-94 1.9 | 114.7 2.1 | 179.741.8 | 244.118 | 304.6 + 2.6 
Operated Series. 53-.245.1 | 126.04 4.5 | 203.04 4.2 313.8 + 5.3 
Differ oO a oO o 
change sof Position. 2 +18 128.3 +9.2 
o ° ° 
=P. E. M. 7.0 46.6 6.0 2 9 
less than the difference of the averages in C and B, but in A 
it is greater than the difference and in £ it is very nearly 
An examination of Table VI shows 
us a great lack of uniformity in the resultant positions of the 
leaflets and the unusually large probable errors are due to 
equal to the difference. 
this fact. 
The leaflets have in many cases moved forward or 
backward over the surface of the petiole and as a result we 
have a mass of figures which at first sight seems impos- 
sible of resolution into uniform data, but a closer study 
enables us to get at some points which are perhaps the most 
interesting of all those made out in these experiments. 
It 
