[nukkad] Before Pythagoras Theorm

[VELAYUDHAM <>]

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Hi,
We have a formula to find hypotenuse in a right angle triangle. ie let
'y' be adjustant side and 'z' be base side then the hypotenuse will be
x = sqrt(y*y+z*z). But long long back, in tamil nadu one poet wrote a poem
to find this hypotenuse. The poem is (in Tamil):

Oodia neelanthannai Orettu kooraakki
Koorilea Ondru thalli kundrathil paathi serthaal
Varuvathu Karnamthanea....

English Translation:

Oodia(biggest) neelanthannai(length) Orettu(eight) kooraakki(divide)
Koorilea(among eight divisions)  Ondru(one)  thalli(subtract)
kundrathil(with smallest) paathi(half) serthaal(add) Varuvathu(outcome) 
Karnamthanea(hypotenuse)....
                                                                                
Equivalent Mathematical steps:

	1. Take biggest length of base and adjuscent sides.
	          (say 'a' out of 'a' and 'b' )
 	2. Subtract by its ratio of eight from it.
	          (i.e., subtract a/8 from a); a-(a/8) ---> AA
	3. Add half of the smallest of base and adjuscent side with 'AA'
                  ( i.e., a-(a/8)+(b/2) )
					(Since, 'b' is the smallest now)

Example 1:
	Formula: y=8,z=6 => x=sqrt(8*8+6*6)=10
	Poem: y=8,z=6=> x=8-(8/8)+(6/2)=10

Example 2:
	Formula: y=4,z=3 => X=sqrt(4*4+3*3)=5
	Poem: y=4,z=3=> X=4-(4/8)+(3/2)=5

Send this fact to all over the world and add proud to Our India..
Nadu.

Thanks & Regards,
L.SivaKumar

-Vels.



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