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 71

FEBRUARY, 1891.] THE BURMESE SYSTEM OF ARITHMETIC.
Observe that the rule as to placing the cipher of the result over the multiplier still holds good. It will always do so.
Second process : add the result to the ciphers immediately above them separately, and substitute thus: (a) 16091, (b) 11091, (c) 21091.
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Third process : multiply the second cipher of the multiplicand by the second cipher of the multiplier, setting down the result thus: 21091.
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Fourth process: substitute the last cipher of the result for the second cipher of the multiplicand: add the first cipher of the result to the cipher above it, and substitute thus: 21451.
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Now push the multiplier forward one point and you are ready for the third stage, thus
21451. 55
Third stage: multiplying the third cipher of the multiplicand.
First process: multiply the third cipher of the multiplicaud by the first cipher of the multiplier, setting down the result thus: 21451.
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Second process : add the result to the cipher immediately above it and substitute thus: (a) 21401, (b) 21501.
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Third process mutiply the third cipher of the multiplicand by the second cipher of the multiplier, setting down the result thus:
21501.
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Fourth process: substitute the cipher of result for the third cipher of the multiplicand, thus: 21505.
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Final Result: 21505.
Demonstration by the European method:
391
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1955
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1955
21505.
In going through the above calculation the processes actually shewn successively on the slate, sand, parabaik or other material by a Burman would be as follows:
() 21091, (j) 21091, () 21451,
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(a) 391, (6) 15391, (c) 15391, (d) 16591, (e) 16591, (f) 16591, (g) 16091, (h) 11091'
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(2) 21451,
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(m) 21451, (n) 21401,
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(o) 21501,
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(p) 21501, (g) 21505, (r) 21505.
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Thus he would have to go through 18 alterations of the ciphers before arriving at the result.