Page 686 - Lokmanya Tilak Samagra (khand 2)
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            38         SAMAGRA  TILAK- 2  •  VEDANGA  JYOTJ~HA
            after  making  the  necessary  correction  of  altering  -..i~r~~io into
            m~rll!~o. He  has  also  shown  that  the  rule  is  derived from  or
            based  on  a  sound  mathematical  reasoning.  At  the  rate  of  1809
                                                                   1
            Nak!lhatras in 124 pakshas of a  Yuga  the  Moon  traverses  175 ~4
            Nak!lhatras in a dozen pakshas;  and  since  she  takes  one  day and
            seven kalds  to move through a Nak!lhatra ( R. 18, Y. 39 ),  it will be
            found  that  to  complete  175 Nak!lhatras  she  requires 177 days and
            19 kaltis of the 178th day. ln  other  words  the  time  of the  Moon's
            entry into  the !76th or the  last  parvan  Nak!lhatra  at  the  end  of  a
            dozen  pakshas is  19  kalds  of the  corresponding  parvan day;  and
            similarly  if the  number  of pakshas  be  two  dozen,  the  number  of
            kalds would be 2 x  19  or 38, and  so  on.  But having once missed  the
            true  meaing  of  ~ B  has  unfortunately  failed  to  follow  up
            this  course  in  interpreting  the  second  half  of  the  present
            verse;  and  S  is  led  to  radically  alter  the  whole  verse  to  suit
            his guess  about  its  contents.  He  cannot  make  anything  out  of
            the  verse  except  by  artificially  interpreting  3'1ll!'!iT  to  mean  4,
            and changing  a;offir1-r~n:  into  ~ti~r:, the  word  ~ in  the  latter
            case  being  taken  to  mean  the  number  12.  When  one  must  resort
            to  such  artifices  to  make  a  verse  intelliglible,  one  may,  I  think,
            very  well  suspect  that  he  has  missed  its  right  meaning.  The  rule
            obtained  by  S  after  so  many  changes,  does  not  again give  us  the
            time  of the  Moon's entry into  the last parvan  Nak~hatra; but only
            enables  us  to  convert  the  Nak!lhatra-amshas  into  kalas thereof,
            which  is  quite  besides  the  purpose  in view.  In  my  opinion  the
            second  half of the  verse  is  supplementary  to  the  first;  and  that
            after  stating  the  rule  for  converting  bhamshas  into  kalds  at  the
            end  of a  dozen  pakshas,  the  Vedanga  proceeds  to  deal  with  the
            case  of  pakshas  in  excess  thereof- the  ~ pakshas  as  it  calls
            them.  How  the  second  half  of  the  verse  should  be  interpreted
            according to this view,  will be seen from what follows.
                ln  the  Rik  recension  this  second  half  of  the  verse  is  thus
            given:-

                          ~<{~J~ f[~~ ~~~en: 1
            and I think it is the correct reading.  The Yajus  text  has  ~Rm~o
            and,  adopting  it,  both B  and  S  consider  ~~ as  a  numeral
            adjective  qualifying  'fl6f:  or  ~lllr:  understood,  though  eventually
            they  differ  widely  in their  interpretations.  At  the  first  sight  this
            seems  to  be  proper  construction  of  the  verse;  for,  according  to
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