Page 684 - Lokmanya Tilak Samagra (khand 2)

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36 SAMAGRA TILAK - 2 • VEDANGA JYOTI'HA
93 = 84 + 9=7 dozens ( ~r:) and 9 odd ( ~= ) and then
calculates NaktJhatra-amshas first for the dozens and then for the
remaining or the una-pakshas as it calls them. One operation
is thus split into two subordinate parts in order to cut short
the labour of arithmetical calculation. For, as the amshas at the
end of a dozen pakshas are found to be always equal to 8 or the
corresponding multiples of that number, ( if we omit the complete
Nak~hatras, that is, the multiples of 124 amshas from the total),
it is obviously easier to get the amshas at the end of any dozen
pakshas by multiplying the dozens by 8, than by multiplying
by 11 the total number represented by the said dozens. But in
this case it is necessary to say how the amshas for the pakshas in
excess of a dozen, i. e., the una-pakshas are to be counted; other-
wise the rule would remain incomplete, that is, inapplicable
to any given number of pakshas in general. Taking all these things
into consideration and changing ~~o into ~~o I would,
therefore, read the verse as follows :-

$:n: ~: mi: ~~~lit<hl«al: 1
ll:Cfil~~~tair.l': ~sit ~~ ~~ II
and without any strained anvaya translate :- ' the ( parvan )
Nak~hatra amshas should be made by ( that is, counted) groups
of eight, ( each ) arising out of ( each ) dozen ( ~)
pakshas, and by (adding to it) the eleven-fold of the excess re-
maining ( 3iii ) ; and again ( add ) half ( the NaktJhatra-am-
shas i. e. 62) in the case of the bright ( paksha ), if the moon's
amshas (therein are required). ' The first three lines of the verse
give a general rule, which is applicable both to the Sun and the
Moon, while the last line states, by way of an exception, the
change necessary to be made therein if the Moon's amshas, at
the end of a bight fortnight, are alone required. For example,
suppose, we have to find the Nak~hatra-amshas at the end of 93rd
parvan. Here 93 = 7 dozens and 9 odd ( una ). Therefore the am-
shas are equal to 7 x 8 + 9 x 11 =56+ 99 = 155, or, deducting 124
therefrom, 31 only. These are the parvan-amshas in general. But
93rd is a bright paksha; and if the Moon's amshas alone are
required, we must add 62 to the above result; for then the Moon
is in opposition to the Sun, that is, 13! NaktJhatras apart, or if we
compare the Nakthatra-amshas only, she has 62 more am.shas
than the Sun. A complete table of the parvan-amshas for all 124