The only civilization which taught Mathematics in the form of Shlokas 🙏🏻🚩

Lilavati (Story) #Thread

‘Lilavati’ is a ‘Treatise’ of the great Indian Mathematician Bhaskaracharya which was written in 1150. It is the first volume of his main work, the “Siddhanta Shiromani”.

(👆🏼A problem from the ‘Lilavati’ by Bhaskaracharya. This appeared in the “Mathematical Mystery Tour” by UNESCO in 1989)

It was named after his daughter Lilavati. She was a very beautiful child and very intelligent too, which was a rare combination.
Bhaskara was apprehensive about his daughter's inquisitiveness and curiosity. The little girl asked her father many questions and gained a lot of knowledge this way.

As she grew up, Bhaskara decided to get Lilavati married. In the process, Bhaskara perused Lilavati's horoscope.
He was shocked when he found out that Lilavati would not have a happy married life if she did not get married at a particular auspicious time.

He did not tell Lilavati about this, as he despised hurting his daughter.He made all arrangements to make sure that
Lilavati would get married at the auspicious time.
In order to make sure that he did not miss this particular time, he kept a cup with a small hole at the bottom of a vessel filled with water, arranged so that the cup would sink at the beginning of the destined auspicious hour.
He forewarned Lilavati not to go near the vessel.

When Bhaskara was not around, Lilavati, could not hold her curiosity and went to see what her father had devised.

When Lilavati went close to the device, she bent forward to get a closer look. A little pearl from
her nose ring fell into the water. She rushed back in a hurry so that her father would not find out what she was up to.

The little pearl that fell into the water upset the calculations made by Bhaskara and the wedding took place, but not at the auspicious hour.
As destined, Lilavati's husband died a few days after the marriage.

Bhaskara brought back his widowed daughter to his residence. Lilavati's face had lost its initial charm. She seemed disinterested in the normal day to day activities. She sat by the pond looking into
nothingness and wept. She remained silent most of the time. Bhaskara found it very difficult to see these changes in his beautiful daughter.

He thought of a way to get her out of her depressed state. He posed ‘Arithmetic Problems’ at Lilavati about the things around
her and asked her to find solutions to the problems.

Lilavati, the brilliant girl that she was, solved all the problems posed to her. Lilavati's mind which was busy in solving the mathematical problems posed by her father, never again got depressed.
It is believed that the problems posed to ‘Lilavati’ form the major portion of ‘Bhaskara's Treatise’ which is named after her.

Lilavati was given and could solve complex problems which are now resolved using the Pythogoras theorem.
Thus Lilavati became one of the 1st eminent women Mathematicians of India.

It is believed that Bhaskara was also interested in poetry, therefore most of the problems in ‘Lilavati’, his Mathematical Treatise, are Poetic.

ॐ श्री गणेशाय नमः 🙏🏻

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क्यूँ मनाया जाता है रक्षाबंधन का पर्व और क्या हैं इस पर्व से जुड़ी, माँ लक्ष्मी और राजा बलि की पौराणिक कथा

कथा भगवान विष्णु के वामन अवतार से जुड़ी है. भगवान विष्णु ने वामन अवतार लेकर असुरों के राजा बलि से तीन पग भूमि का दान माँगा, दानवीर बलि इसके लिए सहज राजी हो गये


वामन ने पहले ही पग में धरती नाप ली,तो राजा बलि समझ कि गये कि ये वामन कोई और नहीं बल्कि स्वयं भगवान विष्णु ही हैं. बलि ने विनय पूर्वक भगवान विष्णु को प्रणाम किया और अगला पग रखने के लिए अपने शीश को प्रस्तुत किया. विष्णु भगवान बलि पर प्रसन्न हुए और वरदान माँगने को कहा


तब असुर राज बलि ने वरदान में भगवान विष्णु से आग्रह किया कि वह उनके द्वारपाल बने । भगवान विष्णु ने राजा बलि के इस आग्रह को स्वीकार कर लिया और वह राजा बलि के साथ पाताल लोक चले गए। भगवान विष्णु के कई दिनों तक दर्शन न होने कारण माता लक्ष्मी परेशान हो गई और वह नारद मुनि के पास गई।

नारद मुनि के पास पहुंचकर उन्होंने उनसे पूछा के भगवान विष्णु कहाँ है। जिसके बाद नारद मुनि ने माता लक्ष्मी को बताया कि वह पाताल लोक में हैं और वरदान हेतु राजा बलि के द्वारपाल बने हुए हुए हैं।

तब माता लक्ष्मी के आग्रह पे नारद मुनि ने भगवान विष्णु को वापस लाने का उपाय बताया ।

उन्होंने कहा कि आप श्रावण मास की पूर्णिमा को पाताल लोक में जाएं और राजा बलि की कलाई पर रक्षासूत्र बाँध दें। रक्षासूत्र बाँधने के बाद राजा बलि से उपहार स्वरूप भगवान विष्णु को वापस माँग लें।

तब माता लक्ष्मी ने नारद मुनि की सलाह वैसा ही किया और असुर राज बलि को राखी बाँधी
The first ever world map was sketched thousands of years ago by Indian saint
“Ramanujacharya” who simply translated the following verse from Mahabharat and gave the world its real face

In Mahabharat,it is described how 'Maharishi Ved Vyasa' gave away his divine vision to Sanjay


Dhritarashtra's charioteer so that he could describe him the events of the upcoming war.

But, even before questions of war could begin, Dhritarashtra asked him to describe how the world looks like from space.

This is how he described the face of the world:

सुदर्शनं प्रवक्ष्यामि द्वीपं तु कुरुनन्दन। परिमण्डलो महाराज द्वीपोऽसौ चक्रसंस्थितः॥
यथा हि पुरुषः पश्येदादर्शे मुखमात्मनः। एवं सुदर्शनद्वीपो दृश्यते चन्द्रमण्डले॥ द्विरंशे पिप्पलस्तत्र द्विरंशे च शशो महान्।

—वेद व्यास, भीष्म पर्व, महाभारत


Meaning:-

हे कुरुनन्दन ! सुदर्शन नामक यह द्वीप चक्र की भाँति गोलाकार स्थित है, जैसे पुरुष दर्पण में अपना मुख देखता है, उसी प्रकार यह द्वीप चन्द्रमण्डल में दिखायी देता है। इसके दो अंशो मे पीपल और दो अंशो मे विशाल शश (खरगोश) दिखायी देता है।


Meaning: "Just like a man sees his face in the mirror, so does the Earth appears in the Universe. In the first part you see leaves of the Peepal Tree, and in the next part you see a Rabbit."

Based on this shloka, Saint Ramanujacharya sketched out the map, but the world laughed

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