Kuṭṭākāra

Abstract

Here is set out the mathematics for the computation of the ahargaṇa, the number of days elapsed since the epoch etc., by the extension of the said mathematics. There, the number of days passed in the Kali era is calculated by means of two trairāśika-s (rule of three). Here, the number of years passed from Kali-beginning is calculated using solar measures, since in the case of years, the solar years are the ones commonly used. The number of months passed in the current year is ascertained using the lunar months. The number of days passed in the current month is ascertained by means of civil days, since they are the ones commonly used. Then, using these, the civil days passed from the beginning of Kali is to be calculated. Now, what is enunciated (in astronomical treatises) is the number of revolutions and civil days in a four-yuga period (caturyuga). Using that, the days elapsed from the beginning of Kali is calculated. In a yuga, the difference between the number of solar and lunar revolutions (bhagaṇa-s) is the number of lunar months (in a yuga). The yuga-adhimāsa (intercalary months in a yuga), is obtained from that, by subtracting the solar months (in a yuga), which is got by multiplying the solar revolutions in a yuga by twelve. Given that this is the number of adhimāsa-s for the solar months in a yuga, calculate by rule of three the number of elapsed adhimāsa-s corresponding to the number of solar months elapsed from the beginning of Kali.