Page 40 - Lokmanya Tilak Samagra (khand 2)
P. 40

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           tent as to make them practically useless for chronological purposes.
           For instance, suppose that there is a mistake of so  in observing the
           position of the sun with reference to a fixed  star when the day and
           the  night  are  of equal  length.  This  would  cause- .an  error  of not
           more than 5 x 72 = 360 years in ou~ calculations; and in the absence
           of better  means  there  is  no  reason' to  be  dissatisfied  even  with
           -such  a  result,  especially. when  we  are  dealing  with  the  remotest
           periods  of antiquity.  I  shall,  therefore,  assume  that .references  to
           the  Nak~hatras in  the  old Vedic  works especially  in  cases  where
           the  motions of other bodies are  referred to them, are to the fixed
           .asterisms and  not to the zodiacal  portions.  I may  also  state here
           that as a  change in the position of the vernal equinox necessarily
           -causes  a similar change in the position of the winter solstice, both
           the  beginnings  of the  year,  previou!ilY  referred  to,  would  require
           to  be  simultaneously  altered.  Whenever,  therefore,  we  find  a
           .change in the position of the vernal equinox recorded in the early
           works,  we  must look' for  the evidence  of a  corresponding  altera-
           tion in  the  position  df the  winter  solstice,  and  the  corroborative
           evidence  so  supplied  will  naturally  add  to  the  strength  of  our
           .conclusions.  This will,  I hope,  sufficiently explain the procedure I
           mean  to  follow  in  the  investigation  of the  problem  before  us.  I
           shall now proceed to examine the passages which  place the  vernal
           -equinox  in  the  KrittiUs,  beginning  with  the  latest  writer  on  the
           subject.
               It is  now well-known  that VarAhamihira,  in  whose  time  the
            vernal equinox coincided with the  end  of Revati  and the summer
           -solstice  was  in  Punarvas'll,  distinctly  refers  in  two  places  to  the
           ~lder position  of the  solstices  recorded  by  writers  who  preceded
           him. •' When  the  return  of the  sun  took  place  from  the  middle
           ~f Ashle~hA, " says  he  in  his  Pancha  SiddhAntikA,  •• the  tropic
           was  tben  right.  It now  takes  place  from  Punarvasil.  "•  And,
           .again, in the BPbat SatphitA iii, 1 and 2, he mentions the same older
           position  of both the  solstitial  points  and  appeals to his  readers
           to  ascertain  for  themselves  by  actual  observation  which  of the

               •  See Colebrooke's  Essays, Vol. II, p. 387.  The  verse may  now be
           found  in Dr. Thibaut's ~dition of the work.  It is as -follows  :-
                         llff~kRftCii(l ~: ~iiUif.\i(Uj(ii I
                         ~~ tti(itft«ihlttif .. ;j ~d': II
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