Page:A Study of the Manuscript Troano.djvu/55

Rh the rest, and as a consequence all the rest of the year; therefore when we find what the first day of the year is, we can easily determine any day of any month. As each of the four leading days or "year-bearers," as they were called by the Mayas, can have but thirteen different numbers it is unnecessary to extend our columns of numbers further than thirteen.

By referring to the table No. II of days and mouths we observe that when we have completed the thirteenth column, or the column of the thirteenth month, the next, or fourteenth month, commences with 1; just as the first month; the fifteenth with 8, as the second; the sixteenth with 2, as the third; the seventeenth with 9, as the fourth; and the eighteenth with 3, as the fifth. Instead therefore of having eighteen columns in our table, we need extend it only so as to include the thirteenth, as we can use the first, second, third, fourth, and fifth for the fourteenth, fifteenth, sixteenth, seventeenth, and eighteenth months respectively, as indicated by the num- bers of the months which we have placed above the table over the figure