
Vol. IV, No. 3.] Notes on Indian Mathemattcs. 117 
[N.S.] 
Aryabhata here uses ara (Greek xpévos) for Saturn, while 
elsewhere he uses i7.é., slow moving). Kusumapura is iden- 
tified with Patna. Albirani calls Aryabhata the Ff ok “that 
one from Kusumapura”; hence an element of doubt as to the 
epee of the Ganita is introduced. See note above. 
s, tens, hundreds, thousands, tens of thousands, hundreds 
of Mons, ‘yallione, tens of millions, hundreds of millions, thou- 
sands of millions. In these each succeeding place is ten we the 
preceding, 
Albiruni devoted much attention to the subject of orders of 
numbers and wrote a book on it (Jndia,i., 174), He quotes the 
Indian names for eighteen orders (i., 175) and notices the consider- 
able differences between those in vogue and those ad en by Arya- 
bhata of Kusumapura, and in the Pulisa-siddhanta. The import- 
ant ok a which occur aye the fifth order, are exhibited in 
table bel 













A. ba Cc. dD. E. 
Orders. Ganita Ar. of Ku. | Pul, Siddh, Albiruni. | Bhaskara 
t 
108 Eka | Ekam | Eka 
10! Dasau  Dasam Dasa 
102 Sata nee ss | Satam Sata 
108 Sahasra Sahasram | Sahasram | Sahasra 
10¢ | Ayuta Ayutam Ayutam | Ayuta Ayuta 
106 Niyuta Niyutam Niyutam | Laksha Laksha 
108 ° Fieyais Prayutam | Prayutam | Prayutam Prayuta 
107 Koti Koti padma} Koti Koti | Koti 
108 | Arbuda Parapadma | Arbudam | Nyarbuda | Arbuda 
109 Vrinda ? Kharva | Padma | — 
1010 a” | Kharvya, Kharva, 
&e., to “he, to 
1017 
The term vyinda was probably not the tes of a definite order, 
but simply meant a great n 
is identical with that 
number. If this 
of the Pulisa-siddhanta. 
with a fifth order, anew nomenclat 
ure comm 
to t, “Les Grecs seuls au monde ont 
Yunité numérique de second ordre.” 
n the Gitika a 
occur ‘a the Ganita. T 
peculiar notati 
s true, the Ganita list 
seal the 
and, according 
fait. ‘de ix myriade 
on in used, which does not 
his notation is best exemplified by quoting 
