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SAMAGRA  TILAK - 2  •  THE  ARCTIC  HOME

           as  in  rhe  temperate  zone,  a  nycthemeron,  or a  day  and  a  night
           together,  never  exceeding,  as  with  us,  the  ordinary  period  of
           twenty-four  hours.  This  alternation  of ordinary  days  and  nights
           will  commence  after  the  close  of the  long  night  in  January,  and
           in  the  beginning,  the  night  will  be  longer  than  the  day;  but  as
            the  sun  passes  from  the  southern  into  the  northern  hemisphere,
           the  day  will  gain  over  the  night,  and,  eventually,  after  four
           months,  terminate  into  a  continuous  day for two  months. At  the
           close of this long day in July, the  alternation of ordinary days  and
           nights  will  again commence,  the  day in  the beginning being longer
           than  the  night,  but  a  nycthemeron  never  exceeding,  as  in  the
           previous  case,  a  period  of twenty-four  hours.  As  the  sun  passes
           from  the  northern  into  the  southern  hemisphere,  the  night  will
           begin  to  gain  over  the  day,  until,  after  four  months  of  such
           succession  of  ordinary  days  and  nights,  it  terminates  into  the
           continuous  night  of  two  months  mentioned  above.  The  same
           description  applies,  mutatis  mutandis,  where  the  long  night  may
           last for  3,  4  or  5 months,  until  we  reach  the  Polar  condition  of
           a  day and a  night  of six  months  each,  when  the  intermediate
           sm;cession  of ordinary  days  and  nights  will  vanish.

               "  Cf.  Bhiiskara.charya's  Siddhanta  Shiroma1.1i,  Goladhyaya  Chapter
           VI I., verses  6-7 which  are  as follows  :
               ~~~~T: ~T: I~~~~: II
               ~ ~ :q ~T9ct:.l ffi<fft-i" ffireiN nsf  II
               ~f'R:q ~T ~ ~ I ffif~ ~ ~ @IT-.l<I:_II
               "There is a  peculiarity at the place,  where  the  latitude is  greater
           than 66 ° N.  \Vhenever the  northern declination  of the sun exceeds  the
           complement of the latitude,  there will  be perpetual day,  for  such  time
           as  that  excess  continues.  Similarly  when  the  southern  (declination
           exceeds),  there will  be perpetual night.  On Meru,  therefore  there  is
           equal  half-yearly perpetual day and night."  Thus if the  latitude  of  a
           place be  70 °,  its  complement  wtll  be  go -70 = zo  0 ;  and  as  the sun's
           height above  the celestial equator (that  is,  his  declination )  is  never
                           1
           greater than  23 ° z8 there will be a  continuous day at  the place,  so long
                                                       1
           as the declination is greater than  20°  and  less  23 ° 28 ,  and  there  will
           be a similar continuous night when the sun  is  in  the  Southern  hemis-
           phere. Paul Du Chail!u mentions that at Nordkyn or North Cape (X. !at.
           71°  6 so") the northernmost place on the continent of Europe, the long
                1
           night commences on  r8th November,  and ends on  24th January,  lasting,
           in all,  for  67  days  of twenty-four hours each.
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