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

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

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CHAPTER LV.
 

71
 

the moon traverses in either of them. According to
Brahmagupta, this i^iuB^kalpa 18,712,069,200,000,000
yojanas. Brahmagupta calls this number the yojanas of
the ecliptic.

Evidently if you divide this number by the cycles
of each planet in a kalpa, the quotient represents the
yojanas of one rotation. However, the motion of the
planets is, according to the Hindus, as we have
already mentioned, in every distance one and the
same. Therefore the quotient represents the measure
of the path, of the sphere of the planet in question.

As further, according to Brahmagupta, the relation of
the diameter to the circumference is nearly equal to The radii of
that of 12,959 : 40,980, you multiply the measure of o^thei^dis'-
the path of the sphere of the planet by 12,959, ^'^^ theTe^ntre""
divide the product by 81,960. The quotient is the compuTe'd '
radius, or the distance of the planet from the centre of Sia'iima-^ ^°
the earth.                                                                                ^^p**-

We have made this computation for all the planets
according to the theory of Brahmagupta, and present
the results to the reader in the following table :—
 


 


 

Their radii, which
 


 

The circumference of the
 

are identical with
 

The planets.
 

sphere of each planet.
 

their distances from
 


 

reckoned in yojanas.
 

the earth's centre,
reckoned in yojanas.
 

Moon
 

324,000
 

51,229
 

Mercury .
 

1,043,2102^4-2 r^ 4 8T^
 

164,947
 

Venus
 

2,664,629|f|Wff|||
 

421,315
 

Sun
 

4,33i,497i
 

684,869
 

Mars
 

9.   T aC mC    S24S0024
 

1,288,139
 

Jupiter    .
 

C T   TV/I   8-77 54182089
 

8,123,064
 

Saturn
 

T07 CCR  >75?>7 2r)2 3<!6,'?'7
lZ7,000,757ya^g^-jj-5r^9
 

20,186,186
 

The   Fixed   Stars,'
 


 


 

their      distance
 


 


 

from the earth's
 


 


 

centre        being-
sixty times   the
 

259,889,850
 


 

41,092,140
 

distance  of the
 


 


 

sun    from    the
 


 


 

same      .        .    j
 


 


 

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