Leaf Surface of Cucumis Sativus . 
109 
Table VI. 
Plants under 
2 lamps. 
Cotyledons. 
First leaf. 
Second leaf. 
Days. 
Calculated 
from 
dimensions. 
From 
equation a. 
Calculated 
from 
dimensions. 
From 
equation b. 
Calculated 
from 
dimensions. 
From 
equation c. 
sq. cm. 
sq. cm. 
sq. cm. 
sq. cm. 
sq. cm. 
sq. cm. 
1 
1.88 
1-98 
1.24 
0.97 
i-34 
1-26 
2 
2*73 
2.67 
i*75 
1.78 
2*20 
2.32 
3 
3-4 2 
3*3° 
2.42 
2.56 
2.85 
2.94 
4 
3-93 
3.80 
2.86 
2.98 
3-36 
3-38 
5 
4* [ 4 
4.20 
3.28 
3-31 
3.80 
3-73 
6 
4.48 
4.50 
3-6.3 
3-57 
— 
— 
7 
4*65 
4*73 
3.82 
* 3-79 
— 
— 
8 
4.87 
4*9° 
4,05 
3*99 
— 
— 
9 
4*90 
5.02 
4.28 
4.16 
— 
— 
10 
5* T 4 
5.12 
— 
— 
— 
— 
1 1 
5.21 
5.18 
— 
— 
— 
— 
1 2 
5*34 
5-23 
— 
— 
— 
— - 
Equation a : 
, 5-34 + * 
log 
0 5-34-* 
= 0.149 (p + I*: 
2). 
„ hi 
A 
= 0.972+3.34 
logio 
A 
= 1.26 +3.53 
lo gift** 
Table VII. 
Plants under 1 
lamp. 
Cotyledons. 
First leaf. 
Calculated 
Calculated 
Calculated 
Calculated 
Days. 
from 
from 
from 
from 
dimensions. 
equation d. 
dimensions. 
equation e. 
sq. cm. 
sq. cm. 
sq. cm. 
sq. cm. 
1 
1.88 
i-73 
— 
— 
2 
2.36 
2*57 
o-55 
c.52 
3 
2.74 
2-73 
0-79 
o-8 r 
4 
— 
— 
0.95 
1*01 
5 
3- H 
3.22 
— 
1.16 
6 
3.26 
3-58 
i-33 
1*29 
10 
3-84 
3*86 
— 
— 
1 1 
3*93 
3*95 
— 
— 
• 
13 
4.27 
4.10 
— 
— 
Equation d\ A = 1.73 + 2*13 log 10 t. 
,, e : A = 0.037 + !*6i log 10 /. 
The curves of increase in area of individual leaves shown in Figs. 8 and 
9 are strikingly dissimilar in appearance from the curve of increase in area 
for a leaf growing under natural illumination (Fig. 5). We are not dealing 
here with an S-shaped curve, and the autocatalytic reaction formula 
apparently will not meet this case. By suitable modification, however, 
a formula is obtained which empirically reproduces the course of the 
phenomenon in this case also. 
The autocatalytic reaction is represented by the function 
i°g~ = ^-a (3) 
