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Showing posts from 2012

### Father of Pythagoras theorem is "Bothayanaar's theorem"

If we dig into India's history, many unbelievable things are been taken out. For instance, we all know  Pythagoras theorem

c2 = a2 + b2. (c square = a square + b square)

if a = 5 and b = 12

=5*5 + 12*12
=25+144
=169
= √ 169
= 13
c = 13

a2 + b2 = c2

9*9 + b2 = 15*15
81 + b2 = 225
b2 = 144
b = √144
b = 12

This is know to all. Now a Tamil poet has written this algorithm like a poem.

"ஓடும் நீளம் தனை ஒரேஎட்டுக்கூறு ஆக்கி கூறிலே ஒன்றைத்தள்ளி குன்றத்தில் பாதியாய்ச் சேர்த்தால்வருவது கர்ணம் தானே"

Notable words:

ஓடும் நீளம் = Longest side
ஒரேஎட்டுக்கூறு = 8 parts
தள்ளி = subtract
பாதி = half

This poem is summarised as follows

c= (a - a/8) + (b/2)
c= (a - a/8) + (b/2)
= 4-(4/8) + (3/2)
= 5
It seems to be perfect. No square root required. Though it seems to be perfect it is not accurate. See more examples below.
a = 24 b = 7 c= (a - a/8) + (b/2)
= 24-(24/8) + (7/2)
= 24.5 c= 24.5 ≠ 25
a = 15  b = 8 c= (a - a/8) + (b/2)
= 15-(15/8) + (8/2)
= 17.125 c= 17.125 ≠ 17

The above two examples clearly shows that t…