सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

57
the sum increased by the number of years multiplied by
eleven and the result divided by 30 gives the number of
elapsed Adhimāsas. The remainder diminished by the
fraction of Kshayāhās as mentioned before, is the S'uddhi.
Comm. Every year, the number of Tithis that consti-
tute the Adhimāsās accruing in the course of years, is
11-3-52-30. The fractional part of this namely 0-3-52-30
= 0-3-52½ = 0 — 3 + 105/(2×60) = 0 — 3⅞ = 0 — 31/8
= 31/8 × 1/60 = 31/480 = (16+15)/480 = 1/30 + 1/32 converted
into days. Hence for x years x/30 + x/32 . Adding the
number of days 11x, we have 11x + x/30 + x/32 as stated.
Dividing these days by 30, we have the number of elapsed
Adhimāsas and the remainder is S'uddhi, if the fraction
of the Kshayāhās is subtracted therefrom as indicated.
Verse 7. Method of finding the lord of the year with-
out a knowledge of Dinādya.
The week-day at the Commencement of the Solar
year, which pertains to the lord of the year, is the remain-
der got by dividing by seven the S'uddhi which is itself
diminished by the remainders got by dividing by seven
separately firstly double the excess of the elapsed years over
the elapsed Adhikamāsās and secondly the elapsed Ksha-
yāhās. This may be put in symbols as R₇ { S—R₇ (2y—A)
— R₇. K. } = R₇ { S' — R₇ (2y — 2A + K) } where R₇ signi-
fies the remainder got by dividing by seven the quantity
which follows, S signifies S'uddhi, y means the elapsed
Solar years A the elapsed Adhikamāsās and K the elapsed
Kshayāhās.
8