The mathematical value pi has always been a curious number throughout history.
Here is Aryabhatta's version of the value of pi:
Lets split the words and understand the meaning:
चतुरधिकम् शतम् - Four more than hundred (=104)
अष्टगुणम् - multiplied by 8 (104 x 8 = 832)
द्वाषष्टि = 62
तथा सहस्राणाम् = of 1000 as such (=62000; totalling 62832)
अयुत द्वय = 10,000 x 2 (=20,000)
विष्कम्भस्य = of the diameter
आसन्न: - approximately
वृत्त परिणाह: - to the circumference.
In effect, 62832/20000 = 3.1416!
It interesting to note the large numbers he has used to arrive at Pi and the remark that pi is only an approximate value.
2 comments:
"It interesting to note the large numbers he has used to arrive at Pi"
rather than "arriving" at the value of Pi by "the large numbers" it is a method of representing the value 3.1416 by a method of add/multiply/add simpler numbers and converting the steps into verse .. making it easy to undestand/remember/recite
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