Page 690 - Lokmanya Tilak Samagra (khand 2)
P. 690

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            42        SAMAGRA  TILAK- 2  •  VEDANGA  JYOTI~HA
           amshas,  when  added  to  haJf  the  Nak~hatra in  column  (a) may
           increase  the  number  of  the  complete  Nak!lhatras.  For  example,
           take  the  7th  paksha.  Here  half of 7  is  3  and  this  is  the figure
            entered  in  column  3  ( a)  opposite  to  the  7th  paksha.  But  the
            number  of amshas  given  in  column  3  (b)  is  77,  or  half  a
            Nak~hatra plus  15  amshas.  Therefore  this  half  when  adde,d  to
            the  half in  3,  will  make  one  complete  Nak!lhatra;  and  the  total
           complete  Nak!lhtras  arising  out  of the  01~  in  this  case  are,
            therefore, not 3 but 4.  Similary in  the case of the 9th and the 11th
           paksha  the  number  of  additional Nak!lhatras  arising  out  of the
            01~ is  5  and  6  respectively  and  not 4  and  5.  So  far  as  the  ['tna
            pakshas  alone  are  concerned  these  exptional  Nak!lhatras  arise
            out  of  the  01~  in  the  case  of  the 7th,  the  9th  and  II th una
            paksha  only.  But  as  observed  in  the  remark  column,  we  have  to
            add  to  the amshas  in column  3 (a) the  amshas  at the  end  of the
            previous  dozen  pakshas;  and  then  the  said  exceptional  cases
            may  occur  oftener.  For  example  take  the  17th  paksha.  Here  we
            have  one  dozen  plus  five  <Jlif  pakshas,  and  though  the  amshas
            for  five  una  pakshas  are  55  only,  yet  when  8  amshas  of  the
            previous  dozen  are  added  to  it  we  have  63  amshas,  or  half  a
            Nak~hatra, and  one amsha. This half of a Nak!lhatra when added
            to 2 Nak!lhatras in column 3 (a), makes three complete Nak!lhtras
            in  all.  Therefore  although the complete Nak!lhatras arising  out of
            the  01~  for  five  pakshas  is  2 ( one  half in 2-k  being  omitted )
            yet  for  17  pakshas  the number of completed  Nak~hatras is  3  and
            not 2.  Briefly stated, we may say that ( 1 ) the  number of complete
            Nak~hatras, arising  out  of  the  01~ is  generally  equal  to  the
            integral part of half the number of una pakshas. But ( 2) an increase
            in  the  number  of complete  Nak~hatra may  take place when  the
            number  of amshas  for  the  una-paksha  ( at  the  rate  of  11  per
            paksha) either by  themselves,  or together  with  the  amshas  of the
            previous  dozens  ( at  the  rate  of 8  per  dozen)  exceed  62.  This
            increase  is  generally  never  greater  than one Nak!lhatra but in rare
            cases,  e.  g.  in the  119th paksha,  it  may  be equal to 2 Nak~hatras.
            We  can  now  see  why  the  Vedanga  has  given  a  separate  rule  for
            calculating  the  moon's  <~~. The figures  given  in  column  3  ( a)
            and 3 ( b )  are  practically  the  same  as  would  be  obtained  by  the
            application  of  the  general  rule  for  counting  the  lltw's  of the
            Moon  at  the  end  of  a  given  paksha,  laid  down  in  the  verse
            m~: ~:'1:  etc.  ( R.  10;  Y.  15)  discussed  in  the  beginning  of this
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