RISHI PINGALA:THE ANCIENT INDIAN SAGE DISCREDITED FOR HIS MAJOR CONTRIBUTIONS TO MATHEMATICS & PHI

Have you ever heard about,"The Golden Ratio"?
The Golden Ratio or Phi(Greek) is a mathematical ratio of nature. Mother Nature is the most exquisite artist in herself.

&Its this Phi she uses to create all the beauty in World.
If anyone uses this ratio correctly in their art,it can turn into a spell-binding piece of work.Such is the significance of'Phi'.But my thread isn't about it.Its about somethin called'Fibonacci Series'&who actually made it
Phi is related to Fibonacci series(0,1,1,2,3,5,8,13,21,34...)
&this series is responsible for everything dat is beautiful on this planet. Just try to calculate the ratio of any 2 successive numbers ÷ each of them by the number before it in above infinite series.
E.g. 3/2=1.5, 5/3=1.666, 8/5=1.6, 34/21=1.61904 and so on. Did you notice something? The ratio is coming almost same every time. This ratio is called 'Phi 'which is numerically represented as 1:1.618. This Golden Spiral is made in exact proportion of 1:1.618.
The thing I want to emphasize here is that we always find only those things appealing and attractive that have Phi. It's in our subconscious. Isn't it some revelation? We are the part of this Divine proportion of the God or the Mother Nature. Check these:
Modern architects, artists etc. Know about it and that's how they create the modern marvels but even the ancient artists,architects etc. knew about it and that's how they built all those wonders which we still can't stop gushing about.
Now, the question emerges, 'Who discovered this Divine ratio of universal significance on mankind?' We have studied it in our Schools that an Italian scientist named Leonardo Fibonacci gave the concept of this numerical series in 13th century CE. But did he really do it???
The answer most certainly is no. Fibonacci series goes back to more than 2500 yrs ago and it's origin lies in ancient Indian language of Sanskrit.The ancient Indian Rishis &scholars remembered and propagated their knowledge through Sanskrit poetry which made it easy to remember.
2nd century BCE Bharat was ahead of its times in everything.Let it be Science, Mathematics, Astronomy, Astrology , Literature, Philosophy etc, you name it and the ancient Indians knew it. Sanskrit was the most ideal language to share the knowledge right from the Vedic times.
But to make the composition of the Poetry was not that easy a task. To make it easy, beautiful and pleasant to ears something called 'The Sanskrit Prosody' was formed. 'Sanskrit Prosody' or 'the Chhanda Shastra' as the ancient Indians used to call it is a framework of poetry.
This framework uses natural rhythms and pleasant arrangement of tones to create what we call 'Chhanda' in Sanskrit or 'Verse 'in English &hence the term 'Chhanda Shastra' came into being. And this Shastra has its foundations in the mathematical concept known as Fibonacci Sequence
Chhanda Shastra was engineered by an ancient Indian Sage called Pingala. Have you ever heard about him? I m quite sure the answer would be no. Let's get to know him a little.
Rishi Pingala was a 4th century BCE Indian Mathematician and Sanskrit Grammarian.
There are not many specifications available as far as the birth and death of Pingala Rishi is concerned. But what is known about him with evidenced records is that his contributions in the fields of Maths, Science & Literature during the Vedic period were very vast and great.
Many scholars identify him as the younger brother of Panini, a 4th century BCE grammarian and some identify him as the 2nd century BCE scholar called Patanjali. These links are still to be proved but what we know surely with records is that he created 'Chhanda Shastra'.
Pingala's 'Chhanda Shastra' is believed to be the most ancient Sanskrit treatise on prosody. His greatest contributions in the field of Maths include Pascal's Triangle, Binomial Theorem & Fibonacci sequence called as 'Maatra Meru'.
'ChhandaShastra' on 'Sanskrit Prosody' is most exquisite literary masterpiece created by him. Its further extended to the concept of a Pyramid,stacked numbers dat we know by name,'Pascal's Triangle'.But it wasn't the name used by Pingala obviously.He called it 'Meru Prasastara'.
'Meru Prasastara' was a stack of numbers in a Triangle that converged to the Golden Ratio. Halayudha is particularly known for his commentary on Pingala's Meru Prasastara which stands for the staircase to 'Mount Meru' referred to as 'the centre of Hindu civilization'.
There r detailed mentions of Pingala's Chhanda Shastra made by ancient Indian scholars for their respective fields of art.Fibonacci series was used by ancient Indian musicians,poets &architects alike.Astronomer Varamihira used it in his work related to Binomial coefficients.
Acharaya Hemraj strengthened Rishi Pingala's legacy 1000 yrs ago.
The legitimate question is how come the 'Meru Prasastara' of Pingala became world famous as 'Pascal's Triangle' and how come 'Maatra Meru' of Pingala came to be known as 'Fibonacci Series' worldwide.
And this happened not only with Pingala, it has happened with many other ancient Indian Rishis also who have been discredited of the major works they did in the fields of Maths,Science etc.Did this happen bcoz of the raids &ultimately conquest of Bharatvarsh by the western powers
I think so. These forces came to our Motherland, termed us uncivilized, looted our wealth, stole our scriptures, took it back, copied everything and propagated it as theirs. That's what happened. But it must be corrected now. What belongs to us must be returned to us.
What all we have been discredited for, must be accredited to us. It's a universal truth that Bharatvarsh is the source of civilization and all knowledge of the world and it is being proved slowly but steadily.
It's also time for the Indian education system to teach its youth the true history of Bharatvarsh and make them feel proud of their country's lost heritage and ancestral wisdom.

Jai Bharatvarsh 🙏
Jaitu Sanatan 🙏

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महर्षि कश्यप की तेरह पत्नियां थीं।लेकिन विनता व कद्रु नामक अपनी दो पत्नियों से उन्हे विशेष लगाव था।एक दिन महर्षि आनन्दभाव में बैठे थे कि तभी वे दोनों उनके समीप आकर उनके पैर दबाने लगी।


प्रसन्न होकर महर्षि कश्यप बोले,"मुझे तुम दोनों से विशेष लगाव है, इसलिए यदि तुम्हारी कोई विशेष इच्छा हो तो मुझे बताओ। मैं उसे अवश्य पूरा करूंगा ।"

कद्रू बोली,"स्वामी! मेरी इच्छा है कि मैं हज़ार पुत्रों की मां बनूंगी।"
विनता बोली,"स्वामी! मुझे केवल एक पुत्र की मां बनना है जो इतना बलवान हो की कद्रू के हज़ार पुत्रों पर भारी पड़े।"
महर्षि बोले,"शीघ्र ही मैं यज्ञ करूंगा और यज्ञ के उपरांत तुम दोनो की इच्छाएं अवश्य पूर्ण होंगी"।


महर्षि ने यज्ञ किया,विनता व कद्रू को आशीर्वाद देकर तपस्या करने चले गए। कुछ काल पश्चात कद्रू ने हज़ार अंडों से काले सर्पों को जन्म दिया व विनता ने एक अंडे से तेजस्वी बालक को जन्म दिया जिसका नाम गरूड़ रखा।जैसे जैसे समय बीता गरुड़ बलवान होता गया और कद्रू के पुत्रों पर भारी पड़ने लगा


परिणामस्वरूप दिन प्रतिदिन कद्रू व विनता के सम्बंधों में कटुता बढ़ती गयी।एकदिन जब दोनो भ्रमण कर रहीं थी तब कद्रू ने दूर खड़े सफेद घोड़े को देख कर कहा,"बता सकती हो विनता!दूर खड़ा वो घोड़ा किस रंग का है?"
विनता बोली,"सफेद रंग का"।
तो कद्रू बोली,"शर्त लगाती हो? इसकी पूँछ तो काली है"।
शिवरात्रि पर महाकाल मंदिर का नजारा ही अलग होता है। देश के कोने-कोने से श्रद्धालु यहां आते हैं। महादेव की पूजा के साथ ही गौतम बुद्ध की भी उपासना करते हैं।
आइए जानते हैं क्‍या है इसके पीछे की कहानी?


महाकाल मंदिर में विराजते हैं शिव और बुद्ध। दार्जीलिंग की वादियों में ‘होली हिल’ के नाम से प्रसिद्ध स्‍थान पर स्‍थापित है महाकाल मंदिर। यहां हिंदू और बौद्ध धर्म के अनुयायी एक साथ पूजा-अर्चना करते हैं। दो धर्मों को जोड़ने वाला यह अद्भुत मंदिर है।


महाकाल मंदिर में शिव जी और गौतम बुद्ध के अलावा छोटे-छोटे और भी मंदिर हैं। इनमें गणेश जी, काली माता, मां भगवती और हनुमान जी की प्रतिमाएं स्‍थापित हैं। इसके अलावा यहां पर एक गुफा भी है जहां बौद्ध धर्म के अनुयायी प्रार्थना करते हैं।


महाकाल मंदिर में प्रवेश करते ही स्‍वर्ग जैसी अनुभूति होने लगती है। दार्जीलिंग की खूबसूरत वादियों के बीच बसे इस बेहतरीन मंदिर को देखकर लगता है प्रकृति इसपर पूरी तरह मेहरबान है।


यहां प्रवेश द्वार पर लगे घंटें और बौद्ध धर्म के प्रतीक फ्लैग संगीत, धर्म और सुंदरता का अनुपम उदाहरण है।

मंदिर के मध्‍य भाग में बसते हैं भोलेनाथ
महाकाल मंदिर हिंदू ऑर्किटेक्‍चर का बेहतरीन उदारण है। गोलाकार में निर्मित इस मंदिर के मध्‍य भाग में शिवलिंग है।

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(2) Since 2016, Kushner has connived, with Saudi help, to force the Qataris (literally at a ship's gunpoint) to "loan" him $900 million.
(3) This is consistent with the Steele dossier.
(4) Kushner is unlikely to ever have to pay the "loan" back.


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3/ It's why the Saudis *say* he's in their pocket. It's why emoluments and federal bribery statutes matter. It's why Kushner was talking to the Saudi Crown Prince the day before the murdered Washington Post journalist was taken. It's why the Trump administration now does nothing.