Page 692 - Lokmanya Tilak Samagra (khand 2)
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           44         SAMAGRA  TILAK -- 2 a  VEDANGA  JYOTI~HA
           using  all  these  artifices  and  emendations  is  both incomplete  and
           superfluous.  Incomplete  because  it  admittedly  involves  an  error
           of about 16 kahis if B's,  and 31 ~ daily amshas if S's  interpretation
           be accepted. Superfluous because in another place ( R.  18; Y.  39)
           the  Vedanga tells  u  that the Sun takes exactly 13~ day  to traverse
           a   ak~J hatra  and  when  we  thus  have  the  exact  rule, there is  no
           necessity  of giving  the  same  rule in an incomplete form.  Both B
           and  S  have  tried  to  answer  thi  question  in  their  own  way.  But
           the  reason  adduced  are  so  lame,  that one is led  to  think,  there-
           from, that both B  and  S have put forward  the e  interpretations,
           because  nothing  better  sugge  ted  it elf to  them.  B  has  e  en  a
           lurking suspicion that his interpretation may be open to improve-
           ment.  But  if we  follow  the  cue  suggested  by  the  order  of these
           verses in the Rik. recension, and  interpret the pre ent verse as con-
           taining the second part of the  rule for finding  the  Moon's  kalds
           in continuation of the first part contained in the line ~rif ~:
           etc,.  above  di  ccussed,  we  meet  with  no  such  difficulties.
           Taking  ~ to  mean  ' one  and  one  third '  and  making  it
           qualify both ~ and  ~lll, I  would  therefore,  tran  late  the
           1irst  half  of  the  verse  thus :  -  'Four-thirds  (lit.  one  and
           one  third )  of  ~. and  of  the  Rqt~i~l+ill'f,  (  will  be  equal  to
           the kalds at the end) of  the  14th  ( paksha ),  the  fraction  ( fWA")
           being  kept  aside  ( that  i  ,  neglected ). ' What i  meant by  ~~f i
           already  explained.  The  meaning  of  Rei"~,  as  well  as  the
           reason  of  the  whole  rule  will  be  seen  from  the  following
           explanation.
               We have shown above that at the end  of a  given  number of
           una-paksha,  the  Moon  will  have  traver ed  (  1 )  complete
             ak!fhatra  equal  to  14  times  the  number  of pakshas  plus  ( 2 )
           Nak~Jhatras equal  to  the  integral part of half the number of t1na-
           pak has  and  ( 3) under  certain  condition  there  is  a  chance  of
           having  one  or  rarely  two  more  additional   ak~hatras. The  fir  t
           half of the  pre ent  verse  deals  with  the  fir  t  two  case  and  the
           second  half with the  third of them.  The Moon. according  to  the
           Vedlinga  ( R.  18; Y.  39)  takes  one  day  plus  7  kalas,  to  do  a
           Nak ~hatra; and  at  this  rate,  14  days  plus  14  x  7 ""98  kalas  are
           required  to  traver e  14  complete   ak~hatras. But  ince  we  have
           here  to  find  the expired  time  on the  last day  only  we  omit  the
           completed days  from  the above re ult and  take into  account only
            he  fractional  98  kalds  or  the  fractional  parts  of  a  day  in  tha t
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