Indian Antiquary Vol 20

SR No.: 032512
Original Sutra Author: N/A
Author: John Faithfull Fleet, Richard Carnac Temple
Publisher: Swati Publications
Publication Year: 1984
Total Pages: 486
Language: English
Classification: Book_English
File Size: 21 MB

Page 70

60
THE INDIAN ANTIQUARY.
[FEBRUARY, 1891.
Example 4. Subtract 40 from 650. Proceeding as before the processes are :-(a) 650, (6), 610, (o) 600, (a) 600, (e) 601 (1) 601.
594949
There have been thus 6 processes. Demonstration by the European method :
650 49
601 c. MULTIPLICATION.
Example 1. Multiply 391 by 55. To multiply 391 by 55 the sums are set down thus : 391
55 The rule is to set down the last cipher of the multiplier under the first cipher of the moltiplicand, and the other ciphers of the multiplier in front of the last one.
First stage : multiplying the first cipher of the multiplicand.
First process : multiply the first cipher of the multiplicand by the first of the multiplier, getting dowu the result before the first cipher of the multiplicand :16 thus 15891,17
65. The real rule is: - The ciphers of the result must be set down so that the last cipher of the rasolt is placed immediately above the multiplying cipher. The above process merely shews the resultant role of thumb.
Second process: multiply the first cipher of the multiplicand by the second of the multiplier, setting down the result thus18 : 16391.
15
Observe that the rule as to placing the result above the multiplier still holds good.
Third process : substitute the last cipher of the result for the first cipher of the multiplicand : add the first cipher of the result to the cipher above it and substitute theg: 16501.
55 Now push the multiplier forward one point and you are ready for the second stage: thas: 16591.
55 Second stage : multiplying the second cipher of the multiplicand.
First process: multiply the second cipher of the multiplicand by the first cipher of the multiplier, setting down the result thus : 16691.20
45 55
16 The Hinda method of multiplication is practically identical with that of the Burmese. - 8. B. D.
17 In this case the Hindus would keep the 15 separate from the 891 to avoid confusion. -S. B.D. The Burmese, s far as I have seen them at work, however, write as I have shewn in the text. R.O.T.
18 The Hindas would not set down the second result in this fashion, but would add it to the first result, keeping in mind the proper places of the figures. Thus in this case : second result 15; first result 15 ; total 165, keeping it again separate from other figures. -S. B. D.
12 Here again the Hindus would add the result at once in the head without setting down any intermediate process - SBD.
22 Here also the Hindus would keep the 165 separate from the 91.-S. B. D.