Introduction:
Since the first
intrusion into the Great Pyramid, humankind has attempted to rationalize the
reason or purpose for the mysterious and intriguing designed passages and
chambers within the structure. At the time of construction the Giza pyramid
complex was perhaps the greatest engineering challenge ever perceived on this
planet. The total stones required for construction are numbered in the tens of
millions, requiring a total time frame of approximately 100 years, or the
passing of three Egyptian kings before the site was finally declared complete.
It is proposed by most Egyptologists that the three ruling kings of the time
were entombed within their personal sarcophagus, one sealed in each main
chamber of the three largest structures on site. Unfortunately there is no
supporting evidence to prove the theory valid…no bodily remains of this
pyramidbuilding era have ever been discovered within any pyramid chambers on
site. Many theories have been put forward and they too have their
individual drawback.
If a theory cannot
stand alone then it is no more than a concept, and a concept is no more than an
idea or story at best. The major “test” for any theory is the scrutinizing to
the very limit of known knowledge…no external input should diminish the value
of its content…everything must fit without deviation.
Although these
structures may have some religious bearing, the location with respect to each
other indicates that a “grand” plan/design was in the making. The time has come
for us to determine why these kings systematically ordered their own citizens
and peoples of conquered nations to erect three monuments of such massive
magnitude.
History indicates
that many past civilizations erected megalithic monuments to be used for
astronomical observations, a means to follow the paths of their wandering gods
in the heavens. Is it possible that the ancient pyramid builders actually
constructed this site in honor of their gods? Were the pyramid designer(s)
expressing their full understanding of these cosmic warriors traversing the
evening skies? Were the pyramids built to honor the visible planets…not the
kings and their future heirs to the throne?
Once stated by the
renowned Egyptologist: Dr. Zahi Hawass, “…I believe there is a secret locked
within…one day…we may begin to understand what that secret is…”
He also explained
that any theory relating to Giza and indicating mathematical relationships
should be expressed by ratios or the implementation of the Royal cubit, the
measure used by the builders of the Giza site.
Those who oppose
the Egyptologist’s “king’sburialtomb” theory are classified as “alternate”
theorists and there are many throughout the world, including this writer.
However, the main belief/difference that separates this individual from the
opposing Egyptologists, archeologists, and astronomers is one simple statement:
“The ancient Egyptian pyramid builders were fully aware that planets orbited
the Sun”. I believe that the individuals responsible for the Giza project
possessed full knowledge of planetary motion!
From the many years
that I have devoted my time to the study of the Giza site, I can honestly
state…without the information gathered by my opposing side, including
astronomers, I would never have realized what was hidden atop the Giza Plateau.
Only from exhaustive investigation are we able to discover the truth, but most
important are the precise and articulate measures recorded by Sir W. F. Petrie,
the individual this web site is dedicated to…without them we would be lost
forever.
The
Royal cubit:
There are many theories
relating to the Giza site and as many measures for the Royal cubit as there are
theories…but which measure is correct?
Incorporating the
short cubit, metric, English, Greek, or Roman system of measure is least
advisable…it can lead the individual along a path of mathematical
“coincidences”.
There is one known
fact…the King and Queen’s chambers share a common measure of width and their
width is equivalent to 10 times the length of the ancient Egyptian measure
known as the Royal cubit…both chambers are 10 Royal cubits (Rc) in width.
To verify the
builder’s measure of length, the Queen’s Chamber is 11 Royal cubits long, one
Royal cubit longer than its width and the measure used to construct the
monuments. The King’s Chamber is 20 Royal cubits long; this chamber is built
having a length to width ratio equaling 2:1. These was the simplest means for
the designer(s) to inform us that the Royal cubit and basic ratios for measure
are to be used if attempting to uncover the story within.
Hawass was
correct…Royal cubits and ratios only!
Petrie, along with
most Egyptologists/archeologists, agreed that this is indeed the “standard”
measure to be used at Giza and introducing other measures of the Royal cubit
from later dynasties would create confusion.
Following the
complete removal of sand from the base of the Great Pyramid, it was discovered
that its full length was an astonishing 440 Royal cubits, equivalent to 252
yards or 230 meters, almost two and one half football fields in length.
Petrie measured and
recorded the individual height for each course of stone to the topmost 203^{rd}
level, a point 264.6 Rc above the base (152 yards or 139 meters).
The slope of the
sides has been calculated, indicating a mathematical reference to circular
measure. The ratio of slope is 4/pi and pi is the ratio of a circle’s
circumference to its diameter. Using this measure the “calculated” height of
the Great Pyramid would be 280.1 Rc.
Several smooth
angular “casing” stones are set at the center of the north base; there are no
other angular casing stones in situ. It is believed that smooth angular casing
stones of white Tura limestone covered the four sides completely from base to
apex (Ill. 1). It is also claimed that several centuries ago these angled
casing stones were intentionally removed and apparently utilized in the
construction of many holy mosques surrounding the countryside. It is my
intention to investigate deeper into this report and confirm its validity.
Until such time, we will assume the legend of the complete coating of angular
stones being removed by the Egyptian people as…possible.
Illustration 1. The dimensions of the Great
Pyramid and the location of three chambers within.
Planets:
With all known
external and internal measures in place, we can proceed with the investigation.
However, if you lack knowledge in basic astronomy then it is advised that you
refer to the simple graph below showing the number of Earth years or days for
one complete orbital period for the four closest planets to the Sun.
Orbital 

Planet 


Period 
Mercury 
Venus 
Earth 
Mars 
Years 
0.241 
0.615 
1.000 
1.881 
Days 
87.97 
224.70 
365.26 
686.98 
From
experimentation, it was discovered that a circle drawn from the corner base to
the topmost center point of the structure (203^{rd} course) is also
tangential to a line drawn from the opposite corner base to the actual endpoint
of the last level recorded by Petrie (Ill. 2 and 3).
Illustration 2. A circle of radius 343.9 Rc
intersects with the line drawn from the base to the upper edge of the
structure.
(enlarged view below)
Illustration 3. The enlarged view of the
circle and line intersecting, the circle also passes through the center of the
top course.
Note: The radius measure of the circle is
now shown as the diameter value.
Courtesy of William A. Arnett
From illustration
2, we notice the radius measure of 343.9 Rc, therefore the diameter measure is
687.8 R (Ill. 3). This is the first indication of a possible connection between
measures in length compared to measures in time (Earth days)…Mars orbits the
Sun in 687 days…almost the same number!
If this is not
coincidental and the measure provided by the designers being intentional then
they would certainly included another planet for comparison.
Using the actual
apex of the pyramid as the center and redrawing the 687 Rc circle, we witness a
geometrically balanced “wedge” having both base corners intersected by the
circle (Ill. 4.).
Illustration 4. The identical circle is
drawn from the uppermost center point of the structure to the base corners.
Illustration 4
shows a circle having a diameter measure almost equal to the numerical value
for one complete orbit of Mars around the Sun (686.98 days).
Courtesy of William A. Arnett
Now we simple
duplicate the process by adding the value of measure for one Earth year, it
equaling 365.26 days (Ill. 5 and 6).
Illustration 5. A circle (blue) having a
diameter measure equal to the number of days in one Earth year (365.26 days) is
drawn from the identical point as that of Mars.
(enlarged view below)
Illustration 6. The enlarged view shows the
circle passing through the King’s Chamber
and making contact with the top of the last
step signifying the end of the Grand Gallery.
The measure is
perfect, and the circle also intersects with the sides of the structure at a
level aligning with the peak of the King’s Chamber.
We may now begin to
realize that the location of the King’s chamber may have been with intent from
the initial planning of the structure; the measure from the apex to the floor
guides us to the numerical value for the days to an Earth year.
Courtesy of William A. Arnett
Continuing with the
same concept, an attempt was made to insert the measure for Venus, a planet
requiring 224.7 Earth days to orbit the Sun. Although a circle having a
“diameter” measure of this value fits the upper part of the monument, there are
no known features within this part of the structure that coincide with the
circle. However, a circle having a “radius” of 224.7 Rc results in a display of
precise measure (Ill. 7).
Illustration 7. Using the “radius” measure
of a circle, the orbital period for Venus is evident.
(enlarged view below)
Illustration 8. A display of stunning
accuracy.
The circle representing the days to one
Venus year passes along the floor of the Queen’s Chamber.
The floor and
entrance to the Queen’s Chamber are lower than the horizontal passage and one
question constantly being asked is… Why did the builders design a step in the
passage leading toward the Queen’s Chamber? Perhaps we may now understand it
being designed to guide us toward measuring the distance from this step to the
apex of the pyramid.
The 224.7 Rc circle
representing Venus intersects the lower part of the passage at the exact
location of the step!
A second note of
geometric evidence is the “Venus” circle intersecting the side of the structure
at a level above the base equaling that of the ceiling in the King’s
Chamber…unbelievable precision!
Courtesy of William A. Arnett
The last of the
four inner planets is Mercury. Closest to the Sun, this speedy “see it
todaygone tomorrow” object is visible at dusk for short intervals of time.
Mercury orbits the Sun in 88 Earth days…more than four complete cycles in one
Earth year.
Using the identical
measuring procedure, as the other three planets, indicates no relevant physical
characteristics within the structure to verify the distance representing one
orbit of Mercury. This is repeated for twice the cycle of (2x88) = 176 Rc and
again for three times the cycle of (3x88) = 264 Rc. It is the latter of the
three measures that is most important (Ill.9).
Illustration 9. The actual height of the
Great Pyramid is 264.5 Royal cubits…three complete orbits of Mercury equals 264
Earth days.
The total height of
the completed structure is 264.5 Rc, the numerical equivalent of 264 days or
three complete orbital cycles of Mercury. Again a physical aspect of the
structure indicates the designer(s) intent. The circle passes directly through
the location of the Grotto, another mysterious and puzzling feature of the
Great Pyramid.
We have been
introduced to the four closest planets orbiting the Sun. The designer(s)
demonstrated their knowledge of planetary orbital periods using a simple yet
unique measuring system. The distance from the apex to the corner base
represents Mars, the distance to the floor of the King’s Chamber represent
Earth, the Queen’s Chamber floor indicates Venus, leaving the base to represent
Mercury.
The measures are
accurate and true; the possibility of coincidence is reduced to “almost” zero,
but the designer(s) knew we would question the numbers. These individuals were
intellects…using advanced geometry they provided two more sets of measure to
confirm their intent.
The designer(s)
left the Royal cubit measure for us to use at the Giza site, it is the tool
required for unlocking the codes within. They sealed the entrance to the Great
Pyramid, ascending passage, and King’s Chamber in anticipation of a future
generation to discovered the method of entry. The invaders would find complete
emptiness, and then “hopefully” rationalize the reason for the design.
In a typical
Egyptian mathematical teaching fashion, we are provided with the answers, it is
for us to discover the questions.
This topic began
with the two inner chambers and the establishing of the Royal cubit for
measure. The upper chamber is 10x20 Rc compared to the 10x11 Rc for the lower
chamber. Automatically the average individual will compare the floor area of
each chamber to determine the physical size ratio. But we have been discussing
orbital periods…the time required to travel the circumference of each planet’s
path around the Sun. Therefore we must do likewise with the chambers by
comparing the distance/perimeter of each.
The measures are
(2x10+2x20) = 60 Rc and (2x10+2x11) = 42Rc, having a ratio equal to 60/42 =
10/7 = 1.429 (Ill. 10)
Illustration 10. The ratio of the chamber
perimeters equals 10/7 or 1.429:1
Returning to the
main structure and comparing orbital data, it is discovered that Venus becomes
the important object of study.
Multiplying the
orbital period of Venus (224.7) by the perimeter ratio of the chambers (10/7)
results in a value equal to 321, the identical distance from the apex to the
passage leading into the subterranean chamber (Ill. 11).
Illustration 11. The orbital value for Venus
is multiplied by the perimeter ratio of the pyramid’s two chambers.
The circle touches the floor of the third
and lower…subterranean chamber.
The second and most
complicated means to confirm these measures is no less than a masterpiece of
mathematical expression. All circles and their distances are show below, but
only with the aid of the computer could their location be resolved. See if you
are able to determine what interconnecting circle represents what planet, each
is measured from a different location than previously illustrated (Ill. 12).
Illustration 12. The four planet orbital
periods are demonstrated requiring computer assist to discover their location.
The Great Pyramid
at Giza was built using the Royal cubit of measure and the two upper chambers
are to be used as a means to standardize its length. From Topic
3 we learn that the external view of the complex directs us to the
possibility that the designer(s) were fully aware of planetary orbits. Now,
after venturing into the internal features of the greatest structure on site,
we discover additional information confirming this theory.
Egyptian
hieroglyphs were considered to be no more than child’s writings until
JeanFrancois Champollion deciphered the codes behind its design. A mixture of
pictures and letters explaining detailed mythical events and legends of past,
but only several remain that express the mathematical knowledge attained. The
majority of scientific writings were confiscated from those who possessed such
knowledge, only to have them intentionally destroyed by the new and uprising
Christian revolutionaries…now the writings…the proof of knowledge attained by
the ancient Egyptians…are gone forever.
The designer(s) of
the Giza complex feared the same fate, the possibility that all written
knowledge would eventually be lost. The most effective solution was to construct
a library of knowledge that required equal knowledge to understand the reason
for its design. Although we seek hidden treasures, it is the concealed
intelligence the designer(s) left for us to discover; it is clearly evident
throughout the site…but automatically overlooked. Those who do not understand
shall dig, poke, and remove the stones only to become frustrated with their
endeavors.
These people have
had their day, it is for the future to take control and systematically measure
each and every aspect of these monuments without adjusting a single stone. But
most important…we must realize that closing the site to those who want to
measure and record for future generations to study is a complete insult to the
mentality of modern humankind. Until the day that freedom is granted…we will
learn little or nothing of the full story.
One strongwilled
individual, with the desire and ambition to learn from the ancient past,
devoted most of his mature life to systematically measure and record his
findings of the Giza Plateau. From the notes of a single man…a one of a kind…a
Sir W. F. Petrie we have learned immensely.
Given time…we can
only imagine what several more Petrie’ could accomplish.
The Pyramids and Temples of Gizeh, W. M.
Flinders Petrie, 1883.
Discovering Ancient Egypt, R.F. MCKenty,
1997
The Pyramids of Egypt, I.E.S. Edwards, 1988
revised pbe.
“106” The Dawn of Man, C. Ross, 1999 pbe.
Larousse Astronomy, 1987, Philippe de la
Cotardiere
Introduction to The Nine Planets, William A. Arnett
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