Page 695 - Lokmanya Tilak Samagra (khand 2)

CRITICISM AND SUGGESTIONS 47

one dozen plus 7. Here we take 19 kalas for the dozen; and pro-
ceed to calculate the kalas for the seven unas as follows :-The
+f~ for seven unas is = 7 )( 73 = 511, the four-thirds of which
is = 511 + 170 = 681 (omitting fractions). The number of addi-
tional Nak~hatras is ! x 7 = 3!; and according to the general
rule one would get only 3 additional complete Nak~hatras. But
the amshas corresponding to the 7th una are 77, or half a Nak~hatra
plus 15. Therefore, combining this half a Nak~hatra with the previ-
ous 3! we get 4 complete Nak~hatras. This at the rate of 9 kalas
gives us 9 x 4 = 36 kalcis. The total number of kalds at the
end of 19th paksha is thus= 19 + 681 + 36 = 736; or deducting
603 ka/as of a complete day= 133. To state the result fully
the time of the Moon's entry into the last parvan Nak~hatra
at the end of 19 pakshas is 133 kahis of the parvan day. Another
example of the application of the rule is where the amshas of una
paksha, are by themselves less than half a Nak~hatra but exceed
it wh'en combined with the amshas at the end of the previous dozen
pakshas. For example, suppose the number of pakshas be 17
or one dozen plus five unas. Here for the dozen we take 19
kalds. For the five unas the +f~ is 5 X 73 = 365, the four-
thirds of which is 365 + 121 = 486 (omitting fractions). The
Nak!lhatras arising out of the +f~ are one half of five unas, or
21 only; and the amshas corresponding to five ~ are 55 only,
( See Table II column 3 -b). One may thus suppose that there
are only two completed Nak!lhatras in this case. But the amshas,
at the end of previous one dozen pakshas are = 8; and 8 added
to 55 makes 63, or one amsha more than a half Nak~Jhatra. There-
fore adding this one half to 2~ we get 3 complete Nak~hatras, which,
at the rate of 9 kalds per each, give us 27 kalds; and the total
number of kalcis for the 17th paksha are 19 + 486 + 27 = 532. Or
suppose that we require the time of the Moon's entry into the last
parvan Nak!lhatra at the end of 92 pakshas. Here 92 is equal to
7 dozens+ 8 unas. The kahis for 7 dozens are= 7 X 19 = 133.
The +f~'l for 8 unas is 73 x 8 = 584, the four-thirds of which
is 584 + 194 = 778. The extra completed Nak~hatras will ordi-
narily be one half {ma pakshas or 4. But the amshas for the 8th
t1na are = 88, with 8 x 7 =56 for the previous dozens; and the
two added together become equal to 144 amshas ·or 1 Nak!lhatra
and 20 amshas. Therefore we must here take 5 complete Nak!lhatras
and their kalds would be 5 x 9 = 45. Thus the total number of