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

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



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  Page 51  

CHAPTER LIII.                              51

79,398,000 {rectd 79,497,000). Adding thereto 64,106
(i^ead 69,601), we get the sum 79,462,104 (orad
79,566,601). By dividing it by 210,902, we get the
quotient T/^G (rectd 307), i.e. unardtra days, and a re¬
mainder of-J-f-ff-g-f (rectd -aW/oV)' *-^- 't^® avctmas. We
subtract the iXnardtra days from the lunar days,
written in the second place, and the remainder is
the civil ctha,rganct, i.e. the sum of the civil days, viz.
23,684 (read 23,713).

The method of the Po,ncct-Sid,dhdntikd of Varahami- Method^of
hira is the following : " Take the years of the Sakakdlcc, siddhdntikd.
subtract therefrom 427.    Change the remainder into
months by multiplying it by   12.    Write  down that
number  in  two   different  places.    Multiply the   one
number  by 7 and divide the product by 228.    The
quotient  is  the number of ctdhimdsa months.    Add
them to the number written down in the second place,
multiply the sum by 30, and add to the product the
days which have elapsed of the current month.    Write
down the sum in two different places.    Multiply the
lower number by ii, add to the product 514, and divide page 228.
the sum by 703.    Subtract the quotient from the num¬
ber written in the upper place.    The remainder you
get is the number of the civil days."

This, Varahamihira says, is the method of the Sid-
dhanta of the Greeks.

We exemplify this method in one of our gauge-years. Application
From the years of the Sakakala we subtract 427.    The me*thodto
remainder,  i.e.   526  years,  is  equal to  6312  months, yeir"^^'
The corresponding number of adhimdsct months is 193
and a remainder of ^f.    The  sum  of  these months
together with the other months is 6505, which are equal
to 195,150 lunar days.

The additions which occur in this method are required
on account of the fractions of time which adhere to the
epoch of the era in question. The multiplication by 7 is
for the purpose of reducing the number to seventh parts.
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