This shows that at one time the first month of spring was Mârgashîrsha. A season includes two months, and the mention of a month suggests the season. “I am the Samvatsara among the years [which are five in number] and the spring among the seasons, and the Mârgashîrsha among the months and the Abhijit among the asterisms [which are twenty‐eight in number].” This clearly points out that at one time in the first year called Samvatsara, of the quinquennial age, the Madhu, that is, the first month of spring, was Mârgashîrsha, and Abhijit was the first of the asterisms. It then coincided with the vernal equinoctial point, and thence from it the asterisms were counted. To find the date of this observation: There are three asterisms from the beginning of Mûla to the beginning of Abhijit, and hence the date in question is at least 16,301 + 3/7 × 90 × 72 = 19,078 or about 20,000 B.C. The Samvatsara at this time began in Bhâdrapadâ, the winter solstitial month. So far then 20,000 years are mathematically proven for the antiquity of the _Vedas_. And this is simply exoteric. Any mathematician, provided he be not blinded by preconception and prejudice, can see this, and an unknown but very clever amateur Astronomer, S. A. Mackey, has proved it some sixty years back. His theory about the Hindu Yugas and their length is curious—as being so very near the correct doctrine. It is said in volume ii. p. 131, of _Asiatic Researches_ that: “The great ancestor of Yudhister reigned 27,000 years ... at the end of the brazen age.” In volume ix. p. 364, we read: “In the _beginning of the Cali Yuga_, in the reign of Yudhister. And Yudhister ... began his reign immediately after the flood called Pralaya.”