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A Key to unlock
The Mystery on
Bolivia’s rock Symbols.
Part-2
T.L.Subash
Chandira Bose and Jack Andrews
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Doubling the area of Square: The famous “Pythagorean theorem, which states
that the square of the hypotenuse of a right triangle is equal to the sum of
the squares of the other two sides.”
The above “Pythagorean
theorem” is only applicable to a right angled triangle but we find in Bodhayana
Sulpasutra: 1.46-47(theorem of rectangle) the steps by set, we can go up to the
square with area =na², which is also
indicated in Katayana Sulpasutra.II.8-9. The first area of the square is
doubled and three circles are also drawn {refer the below diagram squares (red)
and the circles (Blue).
Our article “The Key to unlock the mystery on a geometrical Nazca
Marking” reached different parts the world and few scholars asked
for clarification how the ancient method of marking the cardinal and ordinal
directions are related to doubling the area of square and diving the square
into number parts.
In the below chapter
“Orientation” the height of the gnomon, circle and square are highlighted.
Chapter 6 – Orientation, Maya Mata (05)
describes the ancient geometrical method to find out the directions.
6.1-2a: Now I give the method of determining the
cardinal points with the help of gnomon. (One should proceed) at sunrise during
a month when the solar path is towards the north during a bright fortnight when
sunrise is beautiful, when there are no spots in the solar disc and when the
sun is in the asterism of the appropriate fortnight.
6.2b- 3a: First of all a piece of ground in the
middle of the chosen site should be leveled by the water method; this must be square one square pole
in the center in the center of which the gnomon should be set.
6.3b- 5: Herewith the dimensions of the gnomon (Sanku): the
largest kind is one cubit long, its diameter at is
one digit at the top and five at the bottom, it is perfectly circular and
without irregularities; one of medium size (has a length of) eighteen digits
and a small one a length of twelve or nine digits, their diameter at the top
and bottom being (in all case) proportionate to their length.
6.6- 7a: The materials prescribed for the making
the gnomon are as follows: Ivory, sandalwood, wood of khadira, kadara, sami,
saka or tinduka or other hard wood; its tip should be perfectly circular.
6.7b- 8a: When the gnomon has been made it is
set up in the chosen place at sunrise, then a circle is drawn of which the
gnomon is the center and which the diameter
is double the length of the gnomon.
6.8b-11a: The line which join the two points
where the shadow (of gnomon) has touched the circle in morning (A) and in the
evening (B), gives the east - west direction. The line which passes through the
space between these two points and (which
is like that which) connects the head and tail of a carp, is the north - south
axis; the sage should draw these two lines, Then the circles which have their
centers at the east and west points should be drawn.
The height of the
gnomon is one cubit long, the diameter of
circle at the center double the length of the
gnomon and the site selected for marking the cardinal
and ordinal directions is in square with its sides of one square pole (One Pole is equal to
four cubits).
Cubit: The
Purusa (=Prajapati), the non-supreme (apara) and first form of the supreme
Brahman (Para-Brahman), identified with Visavkarman, the Architect of Universe,
bears the measuring rod (mana, from ma), knows the divisions and thinks himself
composed of parts. Thus divided and measured out, Purusa
thinks of himself as the Goddess Uma, whose name, like maya, is from root ma,
“to measure”: she is the “the measured out”,
the manifested world come into existence by the thinking of Purusa. By thinking
himself as divided and composed of parts he measures out cosmos.
We also find in SBr.
X. 2.1.2.3: He measures it (the fire altar) by finger breaths: for the
sacrifice being a man (Purusa), it is by him that every thing is measured here.
Now these, to with the fingers, is his lowest measure (avama matra): he thus
secures for him (the sacrificial man or the Yajamana) that lowest measure of
his and therewith he thus measures him. He measure by twenty-four
finger-breaths-Gayatri verse consists of twenty-four syllables, and Agni is of
the Gayatra nature: as great as Agni is as great as his measure, by so much he
thus measure him.
From the above the
measurement of first person created by God Purusa or Adam Kadam is to be
considered for finalizing the measurement of the linear scale and the
twenty-four finger breath is to be selected. Also we find the measurement of
priest or Yajamana (the chief or the donour) is to be taken. The measurement of
man taken from his height. There is an ancient proverb in Tamil “Enn Jhan
Udambuku Thalie Prathanam”, which means” The head is vital part of the body
having eight span (vitrasi) of length”. We have already seen twice the span
(vitrasi) is the cubit (hasta) which is of twenty-four
finger breath.
The Cubit in Tamil
Mulam, in Hebrew ammah ("mother of the arm" which is in Tamil
“Mother”), the forearm, was the nominal distance from one's elbow to the
fingertip; the term "cubit" is from the Latin cubitus, the lower arm.
According to Sri Devi
Bagavatham, in kaliyuga (2003 A.D = 5109 th. year in Kaliyuga) the average
height of a Purusa or Adam kadam was six feet, as we seen earlier total height
of a man shall be eight span
(vitrasi) (one span= 12 fingers)
this means 8 x 12 = 96 fingers. Where as in British system 6 x 12 = 72 inches.
There fore the ratio shall be 72: 96. Hence 0.75 inches = 1 finger. There fore
one cubit is 24 x 0.75 = 18 inches.
The height of the
gnomon is one cubit long (18 inches),
the diameter of circle at the center double the
length of the gnomon (36 inches) and the site selected
for marking the cardinal and ordinal directions is in square with its sides of one square pole (72 inches) (One Pole is
equal to four cubits).
In the part one of
this article we have observed the formation of eight directions and a formation
of two squares, the Inner Square with a side of 36 inches and marked outer
square with a side of 72 inches. Now let us observe the area of a square
doubled in the ancient method.
36 x 36 = 1296 sq.inches.
1296 x 2 = 2592 sq.inches. The
square root of 2592 is 50.91168825
2592 x 2 = 5184 Sq.inches. The
square root of 5184 is 72
We would like to
emphasize that the ancient method of doubling the area is indirectly
indicated in the ancient method of cardinal and ordinal directions. Hope we are
clarified, how the ancient method of marking the cardinal and ordinal
directions are related to doubling the area of square?
However the master key symbol found in
Tamil Nadu, India will further unfold more mystery on doubling the area of
square/circle in our future article
“The
Master Key to unlock the mystery on Concentric Circles”.
In “Mayamata” Chapter-7 Diagrams, there are 32 diagrams
from 1 square to 1024 (32x32!!) squares in which the 16 squares are “Mahapitha”
diagram. In which the center four squares are for the Brahma or Lord and
twenty-four divinities (two in each) in the 12 squares at periphery of the
diagram.
Formation of three concentric circles and three concentric oblongs
were shown above.
Three Concentric squares or oblongs: Turning the square into oblong indicated
in Bodhayana Sulpasutra: 1.52, Katyayana
Sulpasutra: III.4 and Apastamba Sulpasutra: III.1.
Among those
symbols found on rock surface of Bolivia the formation of there concentric
oblong one above the other and the selected dimensions is certainly a strong
evidence the ancient geometry of doubling the area was well known to ancient
Bolivians 0r South American.
As scientific
evidence (symbols) to the above formation of three concentric circles oblongs
one above the other was found in Tamil Nadu, India. Please refer the below
pictures.
N.B: The rock
surface on which the symbols were marked was very badly damaged; hence some
part (top projected lines) of the sacred symbol (Right) appears to be missing.
The “Key” symbol (Left) and A sacred symbol (Right) found near by holy temple in Tamil Nadu, India.
Kalkalpen. Harappa clay seal
Symbols found on doorsteps of Holy of Holy In Tamil Nadu.
Kalkalpen. “Morris on rock in the northern part of the
Kalkalpen” by Franz Mandl, Harappa clay seal: Yantra –The tantric symbols of cosmic unity: Madhu Kanna, page-10
and Symbols found on doorsteps of Holy of Holy In Tamil Nadu. The Author’s Collections.
The identical symbols found in Kalkalpen, Harrapa, Tamil Nadu,
India and Bolivia with three concentric oblongs will be the eye opening the
world. We would to emphasize that the symbol found in Tamil Nadu, India play a
vital roll in unfolding the mystery on Bolivian rock symbols. Also refer our
article “ The Origin of
Sacred Symbols and Row or Mills Game”.
Conclusion: The three concentric oblongs found at
different location in our mother earth such as Kalkalpen, Harappa, Bolivia and
Tamil Nadu India are the clear indication that the knowledge of ancient
geometry was known to the entire world. Based on the Harappa seal these symbols
could be possibly originated around 2000 B.C.
The Sacred Meaning of
the three concentric Squares/Oblongs/circles: A point at the center and
followed by three Squares/Oblongs/Circles with a vertical and horizontal lines.
The center point is The Principle Unity, the circuit next to the center is
heaven, next to the heaven circuit is physical level of existence and the last
circuit is the infra physical levels of existence. The vertical and horizontal
lines denote the four cardinal directions. It is a two dimensional view.
Symbols showing the location of a Lord Siva temple, found In Tamil
Nadu.
In the above picture we shall observe the three concentric oblong
with cardinal directions, a trident and a Siva lingam. The three concentric
oblongs indicate the holy temple, the trident (Thisul) indicates the boundary
and the Siva lingam indicates
the Lord Siva’s temple. All together symbolically represent the near by
location of Lord Siva’s temple.
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To whom so ever it may concern. (To
the founder of the symbols) We are
leaving the most important mystery of these symbols to you. Please
measure the measurements of the sides of the square or oblong divided into
sixteen parts, the measurements of the sides of the three oblongs, the length
of the eight rays and the diameters of the concentric circles. Please come up
with most valuable information to bring the light to world to know the
amazing wisdom power of ancient Indians of American continent. |
The group symbols
found on the rock surface in Bolivia were originated from ancient ritual
geometry and also the sacred symbols. Based on the similar symbols found in
holy places or temples in Tamil Nadu, we would to conclude that these symbols
are the symbolic identification of a near by holy place or a holy temple in
Bolivia.
The master key symbol found in Tamil
Nadu, India would further unfold more mystery on doubling the area of
square/circle in our future article
“The
Master Key to unlock the mystery on Concentric Circles”.
Thank you for visiting our web site; and we would look
forward your comments and suggestions.
Please mail to: lscbose@eth.net
All the above diagrams are the research
and study of the authors and all are copy righted.
© T.L. Subash Chandira Bose 2003.