Bīrūnī, Muḥammad ibn Aḥmad, Alberuni's India (v. 2)

(London :  Kegan Paul, Trench, Trübner & Co.,  1910.)

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  Page 189  



CHAPTER LXXVII.                          189

count off the week-days, beginning with the beginning
of Sunday.    That time you arrive at is the moment of

sctmkrdnti.
 


 

What must he added to the Basis.
 

The Zodiacal Signs.
 


 


 

Days.
3
 

(iliaiT.              Cashaka.
 

Aries
 

i
19                        0
 

Taurus
 


 


 


 

6
 

17           ,             0
 

Gemini
 


 


 


 

2
 

43                      0
 

Cancer
 


 


 


 

6
 

21                       0
 

Leo   .
 


 


 


 

2
 

49
 

0
 

Virgo
 


 


 


 

5
 

49
 

0
 

Libra
 


 


 


 

I
 

14
 

0
 

Scorpio
 


 


 


 

3
 

6
 

30
 

Arcitenens
 


 


 

4
 

34
 

30
 

Capricornus
 


 

5
 

54
 

0
 

Amphora .
 


 

0
 

30
 

0
 

Pisces
 


 

2
 

JI
 

20
 

The beginning of consecutive solar years in the week On the
differs by  I  day and the fraction  at the  end of the tiie"soiar
year.    This amount, reduced to fractions of one kind, ing to Brah-
is the multiplicator (180), used in the preceding com- Pu&a, kiid
putation in order to find the surplus of each year (i.e. * ''^'^ ^^'"^'
the amount by which its beginning wanders onward
through the week).

The divisor (143) is the denominator of the fraction
(which is accordingly -rff)-

Accordingly the fraction at the end of the solar year
is, in this computation, reckoned as {^'^, which implies
as the length of the solar year, 365 days 15^31'^ 28''' 6"'.
To raise this fraction of a day to one whole day, iff of
a day are required.    I do not know whose theory this is.

If we divide the days of a cctturyugct by the number
of its solar years, according to the theory of Brahma¬
gupta, we get as the length of the solar year, 365 days
30 22'^ 30''' 0'\ In this case the multiplicator or
gunakdrct is 4027, and the divisor or bhdgcthdra is 3200 Page 293.
(i.e. I day 30' 22" 30''^ o''' are equal to if-g-g-).
  Page 189