Page 57 - Lokmanya Tilak Samagra (khand 2)
P. 57

SAMAGRA  TILAK - 2  8  THE  ORION
         tion, but it may be easily shown to be inconsistent with the position
         of the winter solstice in the day of the Taittirtya· Saqthiti.
              I  have already stated  that from  the  passage  of the Taittit!ya
          Saqthita just  quoted  we  may  fairly  infer  that  the. winter solstice
          occurred  in  those  days  on  the  full  moon  in  Magha.  According
         to  the  Vedanga JyotiiJha it fell  a  fortnight  earlier,  that is,  on  the
         first  day  of the bright half of Magha. It is  roughly  estimated that
          the  equinox  must  recede  about  two  divisional  NakiJhatras,  i.  e.
         26°  4Cl,  to make the· seasons fall back by one month.  Between the
          times  of the Taittirtya  Sa:rphita  and  the  Vedanga  JyotiiJha  the
          equinox  must  accordingly recede  13° 20'  or nearly  14°.  Now the
          position  of the  equinox  as  given  in  Vedanga  Jyotitha  is 10°  of
          Bharant.  From  this  to  the  beginning  of the  divisional  Ktittikas,   J
          the distance is only 3 ° 20' while if we measure it from the aster ism of
          K~ittika it is 3° 20'+10o  SC' = 14°  lC'. Therefore during the period
          that  lapsed  between  the  Taittirtya  Sa~p.hita  and  the  V edanga
          Jyotivha  the  equinox,  according  to  Bentley, receded  only  3°  20';
          while  if we  understand  the  Kptitikas  to  denote  the  asterism  of
          that name, it gives  us  a  precession of 14°  1C'. No was  the  winter
          solstice  fell  a  fortnight  later in the  days  of the Sa:rphita we  must
          accept the latter precession  of 10°, which alone corresponds  with
          that interval of time ( i.  e.  a fortnight) and  as~ume that the vernal
          equinox then coincided with the asterism of Krittika,  a conclusion
          the  probability  of which  has  already  been  established  on  other
          grounds.  Bentley's  speculation must therefore,  be  rejected,  unless
          we  are prepared to allow his guess about the primary  meaning of
          Vishakha to prevail  against  reasonable conclusions  based  upon  a
          passage from  the Taittirtya Sa:rphita.
              But even  admitting  Bentley's  speculation  about  the  meaning
         . of Visbakba, we may fairly question the soundness of the conclusion
          drawn· therefrom.  For what  ground  is  there  for  holding  that  the
          two  divisions of Visbakha must be mathematically equal in  .every
          respect  ?  The  word  dala  in  vida/a  may  be  so  understood;  but
          dala  and  shakha  are  not  similar  in  this  respect.  Bentley's error,
          therefore,  consists  not in supposing that the colure  may  have  cut
          the  divisional  VishAkhis,  but  in  inferring  therefrom · that it must
          have bisected it. The !whole ecliptic was divided into 27 NakiJhatras,
          and l3i could only be comprised, in each hemisphere.  Vishakha,,  the
          14th Nakthatra from the Kpttikas may have been thus conside~.
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