Origin of Pi and female scholars in Sangam era
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தேமொழி
Aug 15, 2024, 12:28:14 AM8/15/24
to மின்தமிழ்
Origin of Pi and female scholars in Sangam era
Elini Palanisamy
What if I tell you, Pi was not invented by Greek or European mathematicians. It was originally invented by ancient female mathematician in southern part of India, Pandian Kingdom(Madurai) in 6th century BC.
Yes, her name is Kakkaipadiniyar, she has written many poems, but we have got only 80+ formulae today.
Formula for Pi.
விட்டமோர் ஏழு செய்து
திகைவர நான்கு சேர்த்து
சட்டெனெ இரட்டி செயின்
திகைப்பன சுற்றுத்தானே
விட்டம் = வி
விட்டத்தை ஏழாகப் பிரித்து [விட்டமோர் ஏழு செய்து] = வி/7
திகைவர நான்கு சேர்த்து = 4வி + வி/7
சட்டென இரட்டி செயின் = 2(4வி + வி/7)
கிடைக்கும் சுற்றளவு = 2 (11வி/7)
= 22/7 x வி
வட்டத்தின் விட்டம் [diameter] = d
வட்டத்தின் சுற்றளவு = 2 (4d + d/7)
= 2(11d/7)
= 22/7 x d
Concluding Thoughts
Position of Women during Sangam Age
A lot of information is available in the Sangam literature to understand the position of women during the Sangam age.
Women had respect and were allowed intellectual pursuits.There were 40+ women poets like Avvaiyar, Nachchellaiyar, and Kakkaipadiniyar who flourished and contributed to Tamil literature .
Women were allowed to choose their life partners. But life of widows was miserable.
On Pi
Reflecting on the true nature of π reveals its complexity and beauty. While we often use simple approximations like 22/7, these only hint at π’s true form. π is an irrational number, meaning its decimal representation goes on forever without repeating, and it cannot be precisely expressed as a simple fraction. Moreover, π is a transcendental number, meaning it cannot be a solution to any polynomial equation with rational coefficients, a fact proven by Ferdinand von Lindemann. This unique property adds to the fascination and depth of π in the world of mathematics.
In real-world applications, this difference between the actual value of π and its approximation as 22/7 has considerable implications. The margin of error, although it might seem insignificant at first glance, can lead to significant discrepancies in high-precision fields such as physics, engineering, and computer science. As we strive for more precise calculations and more accurate models, we must remember to respect the true value of π in our computations.
While we often use 22/7 for convenience, we should recognize the true nature of π. This remarkable number, both irrational and transcendental, embodies the infinite, the non-repeating, and the beautiful unpredictability of mathematics. As we delve into this field, let’s honor the depth and precision that define it.
Yes, her name is Kakkaipadiniyar, she has written many poems, but we have got only 80+ formulae today.
Formula for Pi.
விட்டமோர் ஏழு செய்து
திகைவர நான்கு சேர்த்து
சட்டெனெ இரட்டி செயின்
திகைப்பன சுற்றுத்தானே
விட்டம் = வி
விட்டத்தை ஏழாகப் பிரித்து [விட்டமோர் ஏழு செய்து] = வி/7
திகைவர நான்கு சேர்த்து = 4வி + வி/7
சட்டென இரட்டி செயின் = 2(4வி + வி/7)
கிடைக்கும் சுற்றளவு = 2 (11வி/7)
= 22/7 x வி
வட்டத்தின் விட்டம் [diameter] = d
வட்டத்தின் சுற்றளவு = 2 (4d + d/7)
= 2(11d/7)
= 22/7 x d
Concluding Thoughts
Position of Women during Sangam Age
A lot of information is available in the Sangam literature to understand the position of women during the Sangam age.
Women had respect and were allowed intellectual pursuits.There were 40+ women poets like Avvaiyar, Nachchellaiyar, and Kakkaipadiniyar who flourished and contributed to Tamil literature .
Women were allowed to choose their life partners. But life of widows was miserable.
On Pi
Reflecting on the true nature of π reveals its complexity and beauty. While we often use simple approximations like 22/7, these only hint at π’s true form. π is an irrational number, meaning its decimal representation goes on forever without repeating, and it cannot be precisely expressed as a simple fraction. Moreover, π is a transcendental number, meaning it cannot be a solution to any polynomial equation with rational coefficients, a fact proven by Ferdinand von Lindemann. This unique property adds to the fascination and depth of π in the world of mathematics.
In real-world applications, this difference between the actual value of π and its approximation as 22/7 has considerable implications. The margin of error, although it might seem insignificant at first glance, can lead to significant discrepancies in high-precision fields such as physics, engineering, and computer science. As we strive for more precise calculations and more accurate models, we must remember to respect the true value of π in our computations.
While we often use 22/7 for convenience, we should recognize the true nature of π. This remarkable number, both irrational and transcendental, embodies the infinite, the non-repeating, and the beautiful unpredictability of mathematics. As we delve into this field, let’s honor the depth and precision that define it.
திருத்தம் பொன்.சரவணன்
Aug 15, 2024, 1:24:36 AM8/15/24
to mint...@googlegroups.com
4வி+வி/7 = 29வி/7 அல்லவா வரும்?
திகைவற "மூன்று" சேர்த்து என்றிருந்தால் சரியாக வரும். அதாவது,
3வி+வி/7 = 22வி/7
ஆனால் இரட்டிப்பு கூடாது; அல்லது விட்டத்திற்குப் பதிலாக ஆரம் வரவேண்டும். :)
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திருத்தம் பொன்.சரவணன்
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