74 SPECIAL TOPICS IN THEORETICAL ARITHMETIC

of numeration that would have all the advantages of the deci-
mal system with none of its disadvantages.

143. The following tables (?) are given to illustrate the possi-
bilities of such regulation of the English system of weights and
measures. In these tables 10 stands for 2%, or .

144. Length.

10 points = 1 line
10 lines = 1 inch
10 inches = 1 wand
10 wands = 1 rod
10 rods = 1 dash
10 dashes = 1 mile

For intermediate units we might set

2 inches = 1 thum
2 thums = 1 palm
2 palms = 1 span
2 spans = 1 wand
2 wands = 1 step
2 steps = 1 staf
2 staves = 1 pole
2 poles = 1rod

145. Weight.
10 parts = 1 grain
10 grains = 1 dram
10 drams = 1 ounce

10 ounces = 1 pound
10 pounds = 1 stone
10 stones = 1 sack
10 sacks 1 ton

Il

(1) See George H. Cooper, Elementary Arithmetic of the Octimal Nota-
tion, San Francisco, Whitaker and Ray Co., 1902,