206 Trans. Acad. Sci. of St. Lows. 
This equation is represented in diagram in Fig. 1. The 
ten terms of Eq. (7) are represented by the areas of the 
rectangles marked with numerals 1 to 10. 
s 
J 
d 
3 
j™ 
3 
oa 
10 
& 
AS Ie Te Pe eg 
Diagram of y” — a. 
Fig. 1. 
Any values may be assigned to x and y and this dia- 
gram may be drawn to scale if the assigned values are 
not too large, or do not differ too much from unity. 
The computed values are of interest in some cases even 
if they cannot be laid off to seale. For example assume 
the values of y and x to be 5 and 14, the unit of length be- 
ing the inch. The squares y’ and a? would then have sides 
the length of which would be 5 inches and 14 inch. 
Multiplying these sides by y* and 2* the sides of the 
resulting squares would have lengths y® = 3125 inches 
