146 Cincinnati Society of Natural History. 



and diversity of measures, we luixe titicc munbers almost identical, 

 and each one a key to a variety or family of the system, viz : 20612, 

 20626.470017 and 20625. It was a part of ancient usage to obtain 

 from simple numbers, easily carried in the memory, the use of 

 fundamental ones. I'he number 20625 '^ easily had and easily 

 discovered, and in our mound measures we have a key viz.: 12 and 

 21 feet. 7 times 21 feet is 147 feet, and 2062 5 -|-. 0000 147 is 

 206264700, or one of the other numbers; while 20625 ^^^^ '3 (''^"d 

 in the mounds we have a number of instances of the use of 13, in 

 one especial instance, connected markedly with the numbers no 

 and 210, pointing directly to this very use) is 20612, the third of 

 the famous trio. Now all these shapes, measures and num- 

 bers, are presented in the Mound Builders constructions, 

 and doubdess these very readings, were we sufficiendy fam- 

 iliar with the use and relations of numbers, because the uses 

 spring so easily, and naturally from the abundance of measures 

 afforded, as the same measures are related to each other in con- 

 struction. Everything points to the fact that the Mound Builders 

 not only knew the// relation, but also by use of the very numbers 

 specified by their uses. 



But, moreover, and what is a most singular f^xct, they did set 

 it forth quite distinctly in a secondary and derivative form, and 

 one which the writer has found to be used in the self same second- 

 ary way among the Asiatic ancients, which form is numerically, 

 diameter 113, circumference 355, 



This form is very ancient * and yet very modern. It is to be 

 found in our elementary works. The established //is 3,1415926, 

 while this is 3. 141 5927. 



Such is what the writer judges to be a justifiable comment 

 upon Groups I and II and III, together with this remarkable work 

 of Seal Township, Pike County, Ohio. And now to resume the 

 direct line of investigation thus interrupted: 



As stated, the exceptions throughout the various works to the 

 use of the typical numbers of measures is exceedingly rare; and 



*It is found used in the hooks of Moses as a modified form of the // ratio 6561 to 

 20612, and while the last is ihe base of a cubit measure, this one of 113 to 355, is used 

 chiefly in matters of measures of time, especially in the symbolism of the 

 scenes of Mt. Sinai. The multiple of this last ratio by 6 is 67S to 2130, which 

 numbers are found in the Hebrew Bible as measures, (1) in the symbol of the circle of a 

 "//carf," or the word R ASil whose numbers are 213— (2) in the hierojrlyphic use of the 

 '■'•Dove'''' and '■•Bttvt'ii." whose numbers as used arc 71x5=355. and the word "</hc/ ///»•- 

 raven,'''' the sum of whose numbers is 67S, and ij,) in the zodiacal sign of the '■^ Two 

 Fishes;^'' the word " Fish'' or iV^'A'' carrying the numbers 565, which multiplied by tzvo 

 equals 1 130, and so on: which 2130 is the sum of loSo and 1050 the measures found so typ- 

 ical and prominent in mound construction, in grouping different works, as seen. 



