316 
twenty, or one hundred and eighty days, to the 
same hieroglyphics ; but it is impossible, that, 
in the same year of three hundred and sixty-five 
days, the same term of three series, namely, the 
niimher, the sign of the day, and the companion, 
or nocturnal spirit, can coincide more than once. 
In a year which begins by Cipactli, 
The lltli of January will be... 3d Calli, Xochitl. 
The 10th of July will be... 1st Calli, Xochitl. 
The 2d of February will be... 12th Cohautl, TIazolteotl. 
The 1st of August will be... 10 tli Cohuatl, TIazolteotl. 
The 18th of May will be.. 3d Xochitl, Xoohitl. 
The 6th of November.. ..will be ..1st Xochitl, Xochitl. 
The employment of the third periodical series, 
by means of which two days, that have the same 
number and the same hieroglyphic, are distin- 
guished ; for instance, 1 Cipactli, correspond- 
ing to the 9 th of January and the 26th of Sep- 
tember, was unknown to the greater part of the 
Spanish historians. It was discovered by Mr. 
Gama, from the Mexican manuscripts of the 
Indian Christoval del Castillo, In order to 
denote a day, according to the complicated 
method of the Mexicans, we should say, a fourth 
of a month, which is at the same time a IVed- 
nesday of the Gregorian, and a quintidi of the 
French republican calendar. This expression 
would indicate the coincidence of certain terms 
