Showing posts with label PI in India. Show all posts
Showing posts with label PI in India. Show all posts

Thursday, May 28, 2015

Ancient Indian Literature is full of Scientific Innnovations

 Mythology India
Vedas and ancient Indian science theories are often considered as the most advanced works in the world from their era. There are scientists taking who are fascinated by the knowledge of the ancient Indian scholars and dedicated their life researching on the ancient Indian Science.
The list here presents 13 greatest ever inventions of ancient Indian science.
1. They knew the existence of solar system long before.
vedas solar systemSource
Rig Veda 1.35.9
“The sun moves in its own orbit but holding earth and other heavenly bodies in a manner that they do not collide with each other through force of attraction.
2.  They Theorized gravity way before the western world.
gracity earth vedasSource
The verse 10.22.14 of Rig Veda says
“This earth is devoid of hands and legs, yet it moves ahead. All the objects over the earth also move with it. It moves around the sun”.
3. They knew the speed of light way before the rest of the world knew it.
lightSource
A Vedic scholar by the name of Sayana discovered the speed of light back in the 14th century AD.
His quote  which translates to
“With deep respect, I bow to the sun, who travels 2,202 yojanas in half a nimesha.”
A yojana is approximately 9 miles; a nimesha is 16/75 of a second.
So,  2,202 yojanas x 9 miles x 75/8 nimeshas = 185,794 miles per second which is remarkably equal to the actual value of 186 282.397 miles per second.
4. They knew the science behind eclipses when the rest of the world was scared thinking eclipses are caused by some sort of black magic.
La foto por la que me odia el 99% de ASAAFSource
Rig Veda 5.40.5 has a phrase which translates to
“O Sun! When you are blocked by the one whom you gifted your own light (moon), then earth will be surprised by the sudden darkness.”
This is a remarkably accurate description of a solar eclipse.
The Vedas’ detailed descriptions of the universe, planets, and other phenomena demonstrates the vast knowledge of the people of those times far before modern civilization even started to exist.
______________________________
5. They accurately predicted the distance between Sun and Earth.
Young-Hanuman-and-Lord-Surya-sunSource
“Yug sahasra yojana par bhanu,
leelyo taahi madhura phal jaanu” 
-Hanuman Chalisa
The above verse written by Tulasidas in Hanuman chalisa translates to how “The Surya, situated thousands of Yojanas(a unit of distance) away was swallowed by Hanuman thinking it to be a fruit”
Here
1 Yuga = 12000 years
1 Sahsra Yuga = 12000000 years.
Also, 1 Yojan = 8 miles
So, Yug Sahsra Yojan(the first three words) would mean 12000*12000000*8 = 96000000 miles.
Converting it to kilometers, 96000000 X 1.6 = 153,600,000 kms
Actual distance from earth to sun = 152,000,000 kms(error of around 1%)
How cool is that??

6. They measured the circumference of the Earth.
earthSource
Brahmagupta in the 7th century CE proposed that the circumference of the Earth to be 36,000 km, which is close to the actual figure of 40,075 km, with an error margin of 1%.

7. They estimated the Length of an Year.
vedas2Source 


Surya Sidhhanta speaks of 4 ways to measure the length of an year namely “Nakshatra“, “Savana“, “Lunar” and “Saura“,  of these The Saura method accurately estimates the length of year to be 365 days, 6 hours 12 mins and 30 seconds. If you are still wondering how they could do it go and visit temples at Konark or Humpi where you will find the incredibly complex and technically correct architecture systems of the temples that use the sunlight to measure the length of the day and year.
8. They deduced Pi value.
Aryabhatta-1
Source 
Aryabhata worked on the approximation of value of pi (\pi) and came to the conclusion that \pi is irrational and is approximately 3.1416 in 499 CE when he was 23 years old.
He can be considered as one of the smartest brains of ancient India because  because the irrationality of pi was proved in Europe only in 1761 by Lambert.
Not to mention, he even derived the values of sine & cos and gave birth to the concept of trigonometry.
9. They Theorized that earth is a sphere.
new-earthSource
Although the discovery of Earth being round  is credited to  Greek astronomers . Interestingly, Indian astronomers had already claimed that Sun is a star and that earth is spherical long before the Greeks. It is documented that various attempts had been made to measure the circumference of earth during the Vedic periods.  Aryabhatta deduced a formulation which proves that the Earth is  rotating on an axis. By estimating the value of pi to be 3.1416 he deduced the circumference of earth to be 39736 Kilometers which is only 100 kilometers below its true value.
In fact, in his book Aryabhatiya, he also asserts that the movement of heavenly bodies like the sun, the stars are all relative, and only earth is moving.
Just as a passenger in a boat moving downstream sees the stationary (trees on the river banks) as traversing upstream, so does an observer on earth see the fixed stars as moving towards the west at exactly the same speed (at which the earth moves from west to east.
-translated from Aryabhatiya Gola 9
10. They build the worlds first underground drainage system.
ivdSource
Indus valley civilization designed the worlds first Underground sanitation system back in 3300–1300 BCE which was adopted by the rest of the world centuries later. They are also the first civilization to create modern sanitation.
11. They theorized and actually implemented the concept of surgical procedures using surgical tools centuries before the rest of the world.
medicine
Source
The Sushruta Samhita written by Sushruta is the earliest medical encyclopedia known to world being written during 1200BC containing 184 chapters contains descriptions of 1,120 illnesses, 700 medicinal plants, 64 preparations from mineral sources and 57 preparations based on animal sources. You name a disease and it has a chapter on it.
It was announced in a scientific journal that the oldest and the first  evidence for the drilling of human teeth of a living person was found in Mehrgarh. Eleven drilled molar crowns from nine adults were discovered in a graveyard in Mehrgarh that dates from 7,500–9,000 years ago. A few evidences of orthopedic surgeries were also found concluding that ancient India had the technology to implement surgical procedures.  Anesthesia was made using herbs in Ayurveda.
12.  They theorized the concept of cloning , test tube babies and surrogate mothers.
CaptureSource

The epic Mahabharata describes Gandhari as a mother of 100 sons who were called Kauravas, the eldest of them being Dhuryodhana. The Kauravas were created by splitting the single embryo into 100 parts and growing each part in a separate kund (container).
The  birth story of Karna & the Pandavas shockingly  resembles the modern test tube baby concept. Being born from the “characteristics adopted from men of her choice”  
In other words, they not only had the concept of cloning, test-tube babies and embryo spliting but also had the dream to grow human fetuses outside the body of a woman something that is not known to modern science very recently.

13.  Nikola tesla took inspiration from Swamy vivenakanda and Indian vedas for his world acclaimed work.
Swami Vivekananda    tesla
Source
After his lab was burned down and his life’s work had vanished. Nikola Tesla studied the concept of  Prana and Akasha to work on FORCE and MATTER. He developed a new perspective on the world and started viewing world in terms of frequencies and energy which resulted in him establishing his concepts on energy.

We intended to write this article not to take sides or argue against anyone’s beliefs but only to give a small idea on the intensity of the knowledge and imagination of our ancestors.
They even had the concept of sustainable energy, projectile science, and many others like Thrust, momentum, Thermodynamics , Astrophysics etc to name a few.
Source 

Sunday, January 19, 2014

PI in India

PI in India

The value of pi is being used in India from ancient times. It gives us an insight about how evolved our past was.

There is a shloka, a hymn to Lord Krishna or Shiva, which gives the value of pi upto 31 decimal places. 

Its amazing that our forefathers used an encryption technique to easily remember it. What is more astonishing is that they needed pi upto 31 places!

Science and spirituality both moved together in this land.


Importance of Pi
Pi deals with circles and circles are very important in many fields. Pi is a very important number in the fields of :

  • geometry and trigonometry, 
  • complex number and analysis, 
  • number theory, 
  • probability and statistic physics, 
  • engineering and geology.
  • computers and many more
We would hardly find a person of scientific quest unaware of pi and its significance.


What is Pi?
π is commonly defined as the ratio of a circle's circumference C to itsA diagram of a circle, with the width labeled as diameter, and the perimeter labeled as circumferencediameter d:
 \pi = \frac{C}{d}

The ratio C/d is constant, regardless of the circle's size.
In decimal form, the value of pi isapproximately 3.14.
Pi is an irrational number, meaning that its decimal form neither ends nor becomes repetitive.
 pi = 3.1415….infinitely

Aryabhatta
chaturadhikaM shatamaShTaguNaM dvAShaShTistathA sahasrANAm AyutadvayaviShkambhasyAsanno vr^ttapariNahaH.
[gaNita pAda, 10] Aryabhatiyam (499 CE)
“Add 4 to 100, multiply by 8 and add to 62,000. This is approximately the circumference of a circle whose diameter is 20,000.”
i.e. \pi \approx \frac{62,832}{20,000} = 3.1416
correct to four places.
Even more important however is the word "Asanna" - approximate, indicating an awareness that even this is an approximation.

Aryabhatta called it an approximate (asanna) value to mean that not only is this an approximation but that the value is incommensurable (or irrational).

It is quite a sophisticated insight, because the irrationality of pi was proved in Europe only in 1761 by Lambert!

Katapayadi Encryption
gopiibhaagya madhuvraataH shruMgashodadhi saMdhigaH .
khalajiivitakhaataava galahaalaa rasaMdharaH
This shloka, a hymn to Lord Krishna or Shiva, gives the value of pi upto 31 decimal places.


Pi using Katapayadi Encryption
Katapayadi system is used to encode numbers in many shlokas

ga - 3 pii - 1 bhaa - 4 gya - 1 ma - 5 dhu - 9 ra - 2 ta -6 shru - 5 ga - 3 sho - 5 da - 8 dhi - 9 sa - 7 dha - 9 ga - 3 kha - 2 la - 3 jii - 8 vi - 4 ta - 6 kha - 2 ta - 6 va - 4 ga - 3 la - 3 ra - 2 sa - 7 dha - 9 ra – 2

pi = 3.1415926535897932384626433832792

So we needed pi upto 31 decimal places! What is more amazing is that we knew encryption! Science and spirituality both were important and both moved together.