THOMAS] NUMBERS IN THE MEXICAN CODICES 939 
we see the years indicated by the symbols for Tochtli, Acatl, Teepatl, 
and Calli, and numbered in regular succession. Here, as in case of 
the days, the numbering is from 1 to 13, this order being repeated 
throughout. There is in this series one continuous stretch of 208 
(=4 52) years without a single break in the order of the years or of 
the numbers. We have in this fact proof not only that the years were 
numbered as in the Mayan calendar, and were of the same length, the 
365 being completed by the addition of five days at the end, as was 
stated by the early writers (for only in this way can this succession be 
accounted for), but also presumptive evidence, although not positive 
proof, that there was no provision for bissextile years, unless it was 
made by counting unnumbered and unnamed days. As the years are 
numbered from the day numbers as they come in regular succession, 
there could be no additional numbered and named days without mak- 
ing a jog in the numbering of the years. The assumption that there 
were added days which were neither named nor numbered is a mere 
supposition based on the seeming need of them; there appears to be no 
proof of it in the codices. 
On plates 59-62 of the Mendoza codex we find numerals used to 
state the different ages of youth from 3 to 15. These are given by 
the little circles already described, all of them in this instance being 
blue. From 3 to 6 they are placed in single straight lines. The 
other numbers are given thus: 
WY oo 660 
5000 IW 5G ooo 
9 O; .ehre, ie 
UW S66 O06 Wee Goo ob 
Mm SG eo60 UW) so boo 
While there are indications of the tendency to count by fives, it 
seems a little strange that the arrangement of the dots in 7 and 8 
should have varied from this rule. Attention is called to these seem- 
ingly unimportant points in view of what has been said in the preced- 
ing part of this paper in reference to the Mexican method of counting 
as indicated by the names of their numerals. In the lists of years on 
the first seven plates of this codex the numbers above 5 are arranged 
in almost every instance by fives or with regard to 5. However, it 
is necessary to bear in mind that most, if not all, of this codex is 
