Ramayana Garden in Thailand

This is the photo of the Ramayana Garden in Thailand.

The first poem and the greatest was Ramayana, opined Aurobindo. When the poet Valmiki saw two birds mating and a native killing one of the two said " Ma Nishada ", meaning " Dont do that, for it is Sin, it is Evil, it is against the Law of Conscience"!

Ma nishada pratishtantva nigama shashvathi sama
Yat krouncha midhunath eva avadhim kamamohitam

Ramayana is an allegorical and epic poem. As the Aryan Invasion Theorists argue, it is the not onslaught of the " Aryans" against the " Dravidians". The Aryan Invasion Theory has been proved wrong by scholars like Dr Konrad Elst, Dr Dennis Chandler, Aurobindo and Vivekananda.



Man's dual aspect is highlighted in this poem. The Ego is the imperfect term in Man and Self or the Divine in the perfect term. The Ego is the lower imperfect term of our being; Self is the higher, perfect term.

The Ego is symbolised as Ravana, the ten headed demon king. His ten heads represent Mind, Intelligence, Processing Mind, Ego, Lust, Greed, Anger, Avarice, Jealousy, Gluttony and Sloth.The Self is symbolised by Rama, who goes in search of Peace, Seetha, his beloved consort. The great struggle for supremacy between good and evil, light and darkness, prosperity and adversity, happening in the human bosom, is the Ramayana, where the forces of the Ego clash with the forces of the Self.

Ramayana is part of Buddhist lore and the Ramayana Garden is a testimony to this fact. This strengthens P N Oak's theory that the mother civilization of all was Vedic.

Saturn in Thailand

Shani, the deity of Justice, Destiny and Retribution, has His presence in Thailand. In ancient Siam, one can see his statue.

Saturn, the melancholy planet, was rising at the birth of Dante. He is prominent in the horoscopes of Goethe and other poets and philosophers like Sankara. Without His Grace, liberation is not possible.

The most ancient Civilization was the Vedic and Dr Kenneth Chandler puts the origin at 4900 BC. According to him, the Aryan Invasion Theory is not correct.

Will Durant opined that India " is the mother of us all, through Sanskrit, the mother of Europe's languages".

Dr Kenneth Chandler writes

"The original theory proposed by the early historical linguistics who considered these issues was that Vedic Sanskrit conserved the original sound system of the “proto-Indo-European” language most closely, and that Iranian and European languages underwent a systematic sound shift, creating break-away or daughter languages spoken by the people who populated India and Europe. According to this theory, Vedic Sanskrit was put at near the trunk of the proto-Indo-European language tree, if not the trunk itself.

This theory has been challenged and hotly debated in recent years, most especially by
computer linguists.

Since the 1990s, it is now common for computer linguists to hold
that Sanskrit is not so near the root of the Indo-European language tree, but a
subsequent branch. A currently dominant theory is that the original Indo-European
language stemmed from an Indo-European proto-language that has since been lost.
The first languages to break off from the proto-Indo-European root, according to the
dominant contemporary linguistic theories, was Anatolian (the language of what is now
central Turkey), followed by Celtic (a language found in nearby Thrace in northeastern Greece, and also Ireland suggesting that there was a commerce or colonization between Ireland and early Thrace), then Greek, and then Armenian. According to these theories, the Indian and Iranian language groups are still later branches off the proto-Indo-European “root.”

The linguistic evidence appears to imply migrations of people from the Black Sea area
into India, and yet there is no anthropological evidence to support either a migration into northern India, or an invasion. Evidence from skeletal remains, as we saw, as well as pottery and other artifacts, show no cultural replacement at any time in north Indian Thomas V. Gamkrelidze and V. V. Ivanov, “Family Tree of the Indo-European Languages,” Scientific American, March, 1990, p. 110 and following.

Dr. Don Ringe and Dr. Ann Taylor, two linguists at the University of Pennsylvania, with the help of computer scientist Dr. Tandy Warnow, developed a computer algorithm to sift through the Indo- European languages and look for grammatical and phonetic similarities between them. Their work, published in 1996, has thrown up four possible family trees. “We have come up with a favorite,” says Dr. Warnow. The tree shows that the first breakaway language was Anatolian, an ancient group of languages once spoken in Turkey. Celtic was quick to follow, spawning Irish, Gaelic, Welsh and Breton. Armenian and Greek then developed from proto-Into-European. Strangely enough, one of the later branches to emerge, according to the runs of the computer programs, was Sanskrit.

It is interesting that the Celts settled in Thrace in northern Greece, just a short distance from Anatolia. Thrace was the birthplace of the Orphic mysteries which swept into Greece in the sixth century BC. Celtic is one of the earliest languages, along with Anatolian and Greek, to break off from the Indo European proto-language. The technique for self-knowledge described by Socrates were said to have come from Thrace. The Anatolians of central Turkey occupied the area near where the pre-Socratic tradition sprang up in the sixth century BC. This suggests that a technique was passed from India into the Celtic language.

Of Intercalary months, Adhi Masas

The solar month is 30.438030202068 days

A lunar month = 29.5305881 days

It need not be added that a lunation or synodic month means the interval between two consecutive full moons or new moons. Conjunction ( New Moon ) is 0 degrees and Opposition ( Full Moon ) is 180 degrees

Hence a solar year does not have a whole number of lunar months ( about 12.37 lunations ) So a thirteenth embolismic or intercalary month is inserted.

It was observed that 19 solar years or 19*12 = 228 solar months = 235 lunations and hence 7 Adhi Masas were found in every 19 years. An intercalary or 13th month had to be inserted in a 19 year cycle and 19/7 was the ratio. .

They are called Adhi Masas in Indian Astronomy and they were computed using the Theory of continued fractions. The Theory of contiued Fractions is attributed to Euler. This 19 year old cycle is called the Metonic Cycle, named after the Greek astronomer, Meton.

But then the Indian mathematicians correctly computed the Adhi Masas, centuries before Meton or Euler ! The Indian National Calender is lunisolar, whose dates both indicate the solar year and the moon phases and the next date when the New Moon or Full Moon will occur. The length of the synodic month is given as 29.5305879 days in the Surya Siddhanta, which is correct to six decimals. Surya Siddhanta stated that there are 15933396 Adhi Masas in 51840000 solar months !

Of Vedic Maths

Consisting of 16 basic aphorisms or Sutras, Vedic Mathematics is a system of Maths which prevailed in ancient India. Composed by Bharati Krishna Thirtha, these 16 sutras help one to do faster maths.

The first aphorism is this

"Whatever the extent of its deficiency, lessen it still further to that very extent; and also set up the square (of that deficiency)"

When computing the square of 9, as the nearest power of 10 is 9, let us take 10 as our base. As 9 is 1 less than 10, we can decrease it by the deficiency = 9-1 =8. This is the leftmost digit
On the right hand put deficiency^2, which is 1^2.

Hence the square of nine is 81.

For numbers above 10, instead of looking at the deficit we look at the surplus.



For example:


11^2 = (11+1)*10+1^2 = 121

12^2 = (12+2)*10+2^2 = 144

14^2 = ( 14+4)*10+4^2 = 196

25^2 = ((25+5)*2)*10+5^2 = 625

35^2= ((35+5)*3)*10+5^2 = 1225

Indian Maths, on Argive heights divinely sang !

In India, mathematics is related to Philosophy. We can find mathematical
concepts like Zero ( Shoonyavada ), One ( Advaitavada ) and Infinity
(Poornavada ) in Philosophia Indica.

The Sine Tables of Aryabhata and Madhava, which gives correct sine values or values of
24 R Sines, at intervals of 3 degrees 45 minutes and the trignometric tables of
Brahmagupta, which gives correct sine and tan values for every 5 degrees influenced
Christopher Clavius, who headed the Gregorian Calender Reforms of 1582. These
correct trignometric tables solved the problem of the three Ls, ( Longitude, Latitude and
Loxodromes ) for the Europeans, who were looking for solutions to their navigational
problem ! It is said that Matteo Ricci was sent to India for this purpose and the
Europeans triumphed with Indian knowledge !

The Western mathematicians have indeed lauded Indian Maths & Astronomy. Here are
some quotations from maths geniuses about the long forgotten Indian Maths !

In his famous dissertation titled "Remarks on the astronomy of Indians" in 1790,
the famous Scottish mathematician, John Playfair said

"The Constructions and these tables imply a great knowledge of
geometry,arithmetic and even of the theoretical part of astronomy.But what,
without doubt is to be accounted,the greatest refinement in this system, is
the hypothesis employed in calculating the equation of the centre for the
Sun,Moon and the planets that of a circular orbit having a double
eccentricity or having its centre in the middle between the earth and the
point about which the angular motion is uniform.If to this we add the great
extent of the geometrical knowledge required to combine this and the other
principles of their astronomy together and to deduce from them the just
conclusion;the possession of a calculus equivalent to trigonometry and
lastly their approximation to the quadrature of the circle, we shall be
astonished at the magnitude of that body of science which must have
enlightened the inhabitants of India in some remote age and which whatever
it may have communicated to the Western nations appears to have received
another from them...."

Albert Einstein commented "We owe a lot to the Indians, who taught us how to count,
without which no worthwhile scientific discovery could have been made."

The great Laplace, who wrote the glorious Mechanique Celeste, remarked

"The ingenious method of expressing every possible number
using a set of ten symbols (each symbol having a place value and an absolute
value) emerged in India. The idea seems so simple nowadays that its
significance and profound importance is no longer appreciated. Its
simplicity lies in the way it facilitated calculation and placed arithmetic
foremost amongst useful inventions. The importance of this invention is more
readily appreciated when one considers that it was beyond the two greatest
men of antiquity, Archimedes and Apollonius."

The Infinite Series of the Pi function of Madhava

By means of the same argument, the circumference can be computed in another way too. That is as (follows): The first result should by the square root of the square of the diameter multiplied by twelve. From then on, the result should be divided by three (in) each successive (case). When these are divided in order by the odd numbers, beginning with 1, and when one has subtracted the (even) results from the sum of the odd, (that) should be the circumference. ( Yukti deepika commentary )


This quoted text specifies another formula for the computation of the circumference c of a circle having diameter d. This is as follows.


c = SQRT(12 d^2 - SQRT(12 d^2/3.3 + sqrt(12 d^2)/3^2.5 - sqrt(12d^2)/3^3.7 +.......


As c = Pi d , this equation can be rewritten as


Pi = Sqrt(12( 1 - 1/3.3 + 1/3^2.5 -1/3^3.7 +......


This is obtained by substituting z = Pi/ 6 in the power series expansion for arctan (z).


Pi/4 = 1 - 1/3 +1/5 -1/7+.....


This is Madhava's formula for Pi, and this was discovered in the West by Gregory and Liebniz.

Arctangent series of Madhava, Gregory and Liebniz

The inverse tangent series of Madhava is given in verse 2.206 – 2.209 in Yukti-dipika commentary (Tantrasamgraha-vyakhya) by Sankara Variar . It is also given by Jyeshtadeva in Yuktibhasha and a translation of the verses is given below.


Now, by just the same argument, the determination of the arc of a desired sine can be (made). That is as follows: The first result is the product of the desired sine and the radius divided by the cosine of the arc. When one has made the square of the sine the multiplier and the square of the cosine the divisor, now a group of results is to be determined from the (previous) results beginning from the first. When these are divided in order by the odd numbers 1, 3, and so forth, and when one has subtracted the sum of the even(-numbered) results from the sum of the odd (ones), that should be the arc. Here the smaller of the sine and cosine is required to be considered as the desired (sine). Otherwise, there would be no termination of results even if repeatedly (computed).

Rendering in modern notations

Let s be the arc of the desired sine, bhujajya, y. Let r be the radius and x be the cosine (kotijya).

The first result is y.r/x
From the divisor and multiplier y^2/x^2
From the group of results y.r/x.y^2/x^2, y.r/x. y^2/x^2.y^2/x^2
Divide in order by number 1,3 etc
1 y.r/1x, 1y.r/3x y^2/x^2, 1y.r/5x.y^2/x^2.Y^2/x^2

a = (Sum of odd numbered results) 1 y.r/1x + 1y.r/5x.y^2/x^2.y^2/x^2+......

b= ( Sum of even numbered results) 1y.r/3x.y^2/x^2 + 1 y.r/7x.y^2/x^2.y^2/x^.y^2/x^2+.....

The arc is now given by
s = a - b

Transformation to current notation

If x is the angle subtended by the arc s at the Center of the Circle, then s = rx and kotijya = r cos x and bhujajya = r sin x. And sparshajya = tan x

Simplifying we get

x = tan x - tan^3x/'3 + tan^5x/5 - tan^7x/7 + .....

Let tan x = z, we have

arctan ( z ) = z - z^3/3 + z^5/5 - z^7/7

We thank www.wikipedia.org for publishing this on their site.