222 
Proceedings of Royal Society of Edinburgh. [sess. 
Table II. 
Col. 1. 
Col. 2. 
Col. 3. 
Col. 4. 
Col. 5. 
r. 
r'. 
r-r'. 
P- 
(p-iy. 
o-oo 
0*000 
o-ooo 
101-00 
o-ooo 
•02 
•091 
•071 
78*5 
•030 
•04 
•169 
•129 
64-4 
•191 
•06 
•235 
•175 
49-6 
•175 
•08 
•297 
•217 
39-5 
•246 
•10 
•351 
•251 
31-8 
•308 
•20 
•551 
•351 
11-8 
•432 
•30 
•677 
•377 
5*00 
•360 
•40 
•758 
•358 
2-46 
•234 
•50 
•816 
•316 
1-34 
•085 
•60 
•858 
•258 
0-82 
-0-065 
•70 
•895 
•195 
0-53 
- -231 
•80 
•929 
•129 
0-38 
- -397 
•90 
■961 
•061 
0-36 
- -518 
1*00 
1-000 
•ooo 
1-00 
•ooo 
§ 6. The diagram (fig. 1) helps us to understand the dis- 
placement of ether and the resulting distribution of density, 
within the atom. The circular arc marked TOO indicates a 
spherical portion of the boundary of the atom ; the shorter 
of the circular arcs marked *95, *90, *20, TO indicate 
spherical surfaces of undisturbed ether of radii equal to these 
numbers. The position of the spherical surfaces of the same 
portions of ether under the influence of the atom, are in- 
dicated by the arc marked TOO, and the longer of the arcs 
marked *95, *90, . . . '50, and the complete circles marked 
*40, *30, -20, TO. It may be remarked that the average 
density of the ether within any one of the disturbed spherical 
surfaces, is equal to the cube of the ratio of the undisturbed 
radius to the disturbed radius, and is shown numerically in 
column 2 of Table I. Thus, for example, looking at the 
table and diagram, we see that the cube of the radius of the 
short arc marked *50 is 26 times the cube of the radius of 
the long arc marked *50, and therefore the average density 
of the ether within the spherical surface corresponding to the 
latter is 26 times the density (unity) of the undisturbed ether 
within the spherical surface corresponding to the former. 
The densities shown in column 4 of each table are the 
