118 Journal of the Asiatic Society of Bengal. [March, 1908. 
the tenth couplet of the Gitcka in which a table of differences of 
sines is given:— 
ata uta ata ute ate ofa sta cea aie fam vate fer 
cafe Par Sar UTET ST ET eR SH | RANTS: I 
225, 224, 222, 219, 215, 210, 205, 199, 191, 183, 174, 164, 154, 
143, 131, 119, 106, 93, 79, 65, 51, 37, 22, 7, are the half-chords in 
minutes. 
Other examples given in the Gitika are as follows :— 
WY = 4,320,000. ara fartars yy = 57,753,336, 
fefargae = 1,582,237,500; ete. 
These a give us the key to the notation which may be 
exhibited thus 
aanrua seaqaegemrtrwwraecesesee wa 
123.45 6.7 5.7 UN Yi i4 tb 16 
=—— 2: «2 VY WwW @wwqweiaqgt 
17 18 19 20 21 22 23 24 25 30 40 
= & 2.4.2. 
50 60 70 80 90 100 
fa ii 3 fa tr fa 
100 10,000 1,000,000, etc., 200 300 = 400, ete. 
Usually the texts give a verse ne this notation, but 
this explanatory verse is not Aryab 
n the Ganita there is no kind ob notation used strictly speak- 
ing. The only place where it ie possibly occur is in the formula 
that gives the value for 7 (§ 10 
No measures of any kind are referred to in the Ganita, but in 
the Gitcka it is stated that 1 yéyana=8,000 uri (purusha), and that 
1 nmri=4 -hasta=96 anrgula. This table exhibits a remarkable 
similarity with the change ratios used by the Greeks, and if the 
length of the yyana is as given by Fleet (Jowrn. Roy. Asiatic Soc., 
1907, p. 656), 9°65 miles, there is a still more remarkable similarity 
between the actual lengths used by Aryabhata and the Greeks. 
These close relationships are shown in the following tables :— 
Approximate length in 
Angula. Hasta. Purusha, Y6jana. English measures. 
Angula 1 ove ce eve *75 inches. 
Hasta 24 1 Ss sa 18°00 
1 on 72°00 
Purusha 96 4 
Y6jana 8,072,000 32,000 8,000 1 909 eit: 
