There is an old Tamil Poem which actually tells something similar to Pythagoras Theorem.
This peom may be written earlier than the Pythagoras period. No facts about that.
The meaning here in this poem is:
"Odiya Neelamthannai Orettu Koorathakki" - Divide greater length by 8.
"Koorilae Onru thalli" - Multiply by one less than 8, which is 7.
"Kunrathil paathi serthal" - Kunram means smaller length. Add half of the smaller length.
"Varuvathu karnam thaanae." - What we get is the hypotenuse , here represented as karnam.
Example 1:
According to Pythagoras theorem,
62 + 82 = 102
Explanation from this poem...
greater length is 8, smaller is 6.
[7 * (8/8) ]+ (6/2) = 10
Example 2:
Pythagoras theorem,
42 + 32 = 52
greater length is 4, smaller is 3.
[7 * (4/8) ] + (3/2) = 7 * (1/2) + 1.5 = 3.5 + 1.5 = 5
Somehow this unknown Tamil poet, got an Idea of what Pythagoras had also thought.
As it happens in most of the Indian literature, the thoughts of the poets and their great Ideas will only live in the form of poem or song, but no proof of a particular ideas (In this case Derivation for theorem) exists.
From the above poem, I would like to derive an equation to get the hypotenuse value of a right angled triangle.
Let the longer side be X.
Shorter side be Y.
Hypotenuse be Z.
our equation goes like this...
[7 * (X/8) ] + Y/2 = Z
7X/8 + Y/2 = Z
Also we can write as,
Z = (7X + 4Y) / 8
Hmmm, Works well with most of the numbers.
Thanks to the unknown Tamil poet!
This peom may be written earlier than the Pythagoras period. No facts about that.
Odiya Neelamthannai
Orettu Koorathaakki
Koorilae Onru thalli
Kunrathil paathi serthal
Varuvathu karnam thaanae.
Orettu Koorathaakki
Koorilae Onru thalli
Kunrathil paathi serthal
Varuvathu karnam thaanae.
The meaning here in this poem is:
"Odiya Neelamthannai Orettu Koorathakki" - Divide greater length by 8.
"Koorilae Onru thalli" - Multiply by one less than 8, which is 7.
"Kunrathil paathi serthal" - Kunram means smaller length. Add half of the smaller length.
"Varuvathu karnam thaanae." - What we get is the hypotenuse , here represented as karnam.
Example 1:
According to Pythagoras theorem,
62 + 82 = 102
Explanation from this poem...
greater length is 8, smaller is 6.
[7 * (8/8) ]+ (6/2) = 10
Example 2:
Pythagoras theorem,
42 + 32 = 52
greater length is 4, smaller is 3.
[7 * (4/8) ] + (3/2) = 7 * (1/2) + 1.5 = 3.5 + 1.5 = 5
Somehow this unknown Tamil poet, got an Idea of what Pythagoras had also thought.
As it happens in most of the Indian literature, the thoughts of the poets and their great Ideas will only live in the form of poem or song, but no proof of a particular ideas (In this case Derivation for theorem) exists.
From the above poem, I would like to derive an equation to get the hypotenuse value of a right angled triangle.
Let the longer side be X.
Shorter side be Y.
Hypotenuse be Z.
our equation goes like this...
[7 * (X/8) ] + Y/2 = Z
7X/8 + Y/2 = Z
Also we can write as,
Z = (7X + 4Y) / 8
Hmmm, Works well with most of the numbers.
Thanks to the unknown Tamil poet!