Sambodhi 2000 Vol 23

Author(s): Jitendra B Shah, N M Kansara
Publisher: L D Indology Ahmedabad

Page 27

DR. N. M. KANSARA
SAMBODHI
The idea of infinity (ananta) is referred to in "37HCUTTIT Healtor" (Y.V.16.54), "HELIOT GET THI a” (Bịh. Up. 2.5.19), “3471Ha a da nich prufa" (Bịh. Up. 3.2.12), and "34776 PE Rast:" (Brh. Up. 4.1.5).
There is a reference to the division of thousand by three in the Rgveda (6.69.8). That the division of thousand by three gives 333 x 3 + 1 is clearly mentioned in the Satapatha Brāhmaṇa (4.5.8.1). The fundamental operations given in this last work includes sums, multiplications, divisions and ratios.
Thus, we have sums like 12 + 5 + 3 + 1 = 21 (1.3.5.11); 10 + 10 + 10 + 1 = 31 (3.1.4.23); 3 + 3 + 4 = 10 (3.9.4.19); 10 + 10 + 2 + 2 = 24 (6.2.1.23); 12 + 5 + 3 + 1 = 21 (6.2.2.3); 10 + 4 + 1 + 1 + 1 = 17 (6.2.2.9); 24 + 12 = 36, 36 + 11 + 11 = 58, 58 = 60, 21 + 12 = 33, 33 + 11 + 11 = 55, 55 + 3 = 58, 58 + 2 = 60, 17 + 12 = 29, 29 + 11 + 11 = 51, 51 + 3 = 54, 54 + 2 + 2 = 58, 58 + 2 = 60 (6.2.2.31-37); 21 + 1 + 1 + 2 + 2 + 3 = 32 (7.1.2.16-17); 60 + 24 + 13 + 3 + 1 = 101 (10.2.6.1).
We have multiplications like 360 x 2 = 720, 720 X 80 = 57600 (2.3.4.19-20). 1 year = 360 nights = 720 days and nights = 10,800 Muhūrtas; 1 Ksipra = 15 x 10, 800 Munūrtas; 1 Etarha = 15 Ksipras; 1 Idā = 15 Etārhas; 1 Prāņa = 15 ldā; and also 1 Ana = 15 Nimeșa, 1 Nimeşa = 15 Lomagarta, 1 Lomagarta = 15 Svedāyana, 1 Stoka = 15 Lomagarta (12.3.2.3-5).
10
10
100
100
We have divisions like 10 = 2, . = 5, 190 = 20, 100 = 50, etc. (4.5.8.16), divisions of 720 by 2 to 24, such as 720 = 360, 720 = 3 x 80, 720 = 180, 720 = 144, 720 = 120, 720 = 90, 720 = 80, 720 = 72, 720 = 60, 720 = 48, 720 = 45, 720 = 40, 720 = 36, 720 = 30 (10.24.2.1-20). Here the ratios 720, 7070720 700 70.220.120 and 52 are not given as they do not give complete divisions.
The geometrical progression is mentioned in the Pancaviṁsa Brāhmana as 12, 24, 48, 96, 192, ... 3072, 6144, ... 49152, 98304, 196608, 393216 (18.3).