195 
hibited in Bode’s Jaw, would be found on the further con- 
densation of the primitive matter into elementary species. 
That relations such as I have indicated exist between the 
nebular and elementary condensations, represented by the 
planetary distances on the one hand, with the atomic weights 
of well defined groups of elementary substances on the other, 
will be evident on comparing the numbers in the following 
0.0.4= 4 Mercury. 
1x3 + 4= 7 Venus. 
2x3 + 4= 10 Earth. 
4x3 + 4= 16 Mars. 
8x3 + 4= 28 Ceres, Pallas, &c. 
16x3 + 4= 52 Jupiter. 
32x 3 + 4=1 00 Saturn. 
64 x 3 + 4 = 196 Uranus. 
In the above table the numbers expressing the relative 
distances of the planetary bodies from the sun, and from 
each other, are obtained by multiplying successively the 
difference (3) between the distance of the first and second 
members of the system, by a geometric series, and adding to 
the products, the constant distance (4) of the first member 
from the sun. Now, if the atomic weight of the second 
member of the alkaline and silver group of metals (Na=23) 
be multiplied successively by an arithmetical series, then 
will the products, minus the atomic weight of the first mem- 
ber (Li =7), be the atomic weights of all the elements 
belonging to that group. 
II. 
0.0 . 7 = Li = 7 
1 x 23 . 0 = Na= 23 
2x23-7 = Ka = 39 
3 x 23 — 7 = Cu = 62 
4 x 23 - 7 = Bb = 85 
5 x 23-7 = Ag= 108 
6 x 23 - 7 = Cs = 131 
7 x 23-7= - = 154 
8 x 23-7 = — = 177 
9 x 23- 7 = H" = 200 
O 
