Ancient Alignments - EXAMPLES
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Location: 29° 59' N 31° 09' E
Precision of the Egyptian Pyramids
The precision with which the Pyramid of Khufu (the Great Pyramid) was
executed is often the source of marvel and speculation. The orientation of the Great Pyramid in relationship to true north
is such as to cause it to be declared the "most accurately oriented edifice on
earth." That is to say, its four sides are directed to the four cardinal points
of the compass with less than 3 minutes of one degree off true north [the Second Pyramid of Giza exhibits a consistent accuracy of
alignment which is also extremely impressive: just 6 arc minutes from true
north].
By comparison, the Paris Observatory is 6 minutes of one degree
off true north.
The Great Pyramid's original dimensions (definitive 1925 Cole Survey):
| Side
Alignments: |
Corner
Angles and (Errors): |
Side
Lengths: |
N: 02' 28"
S of W
S: 01' 57" S of W
E: 05' 30" W of N
W: 02' 30" W of N |
NW: 89d 59'
58" (-00' 02")
SW: 90d 00' 33" (+00' 33")
NE: 90d 03' 02" (+03' 02")
SE: 89d 56' 27" (-03' 33") |
N: 230.26
meters
S: 230.45 meters
E: 230.39 meters
W: 230.36 meters |
|
Interestingly, the Great Pyramid rests at latitude 29° 58' 51" N
(29.9808 degrees N), which is only
01' 09" (2,125 meters) south of exactly 30 degrees north latitude . Did the
builders intend to build the Great Pyramid at 30 degrees north latitude, or is
this curious fact merely a coincidence?

Pyramid of Khufu (aka the Great Pyramid)
The pyramid's base is
level within 2.5 cm, with the only difference in the length of the sides being
4.4 cm.
|
Shaft |
Inclination |
|
King North |
32°36'08" |
|
King South |
45°00'00" |
|
Queen North |
39°07'28" |
|
Queen South |
39°36'28 |


Pyramid complex near Giza is precisely aligned to cardinal
directions.
Source: http://home.satx.rr.com/xcpteam/ValleyofKings/

Pyramid of Khafre (Chephren)
How the pyramids' builders so precisely oriented each of their pyramids?
The magnetic compass wasn't invented
for another few thousand years (it wouldn't have helped them much since magnetic
compasses usually don't point exactly north-south), and they'd have to wait for
an additional thousand years for global positioning satellites. Also, it is
unlikely that they used Polaris, the North Star; due to
precession of earth's axis, Polaris was far from the true North at the
time of pyramids building.
The only two likely (and precise) methods of
finding meridian are:
- Solar method ( "solar compass")
and
-
Stellar method ("bisecting the angle formed by
the two extreme positions
of a star".)
Read more >>
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Location: 19° 40' N 98° 52' W
The largest metropolis of the pre-Columbian New World, Teotihuacán numbered
in its heyday perhaps as many as 200,000 inhabitants. It is meticulously laid
out on a grid which is offset 15º.5 from the cardinal points. Thus, its main
avenue, the "Street of the Dead," runs from 15º.5 east of north to 15º.5 west of
south, while its most impressive structure, the Pyramid of the Sun, is directly
oriented to a point 15º.5 north of west.


The ancient city of Teotihuacán is meticulously
oriented to a grid
that was offset from the cardinal points by 15.5º
Several attempts had been made to explain the layout of
Teotihuacán by means of astronomy:
-
The explanation that is given visitors to the site in
the little local museum is that it defines the sun's setting
position on the day that the zenithal sun passes over. For
Teotihuacán, located at latitude 19º.5 N, that occurs on both
May 18 and July 26. Unfortunately on both dates a sunset
azimuth of 290º.7 is a full 5º.2 off of the observed alignment.
-
Archaeologist James Dow, in 1967, proposed that
explanation of the layout of Teotihuacan had to do with
either the setting of the Pleiades or the rising of Sirius.
-
In 1973, astronomer Anthony Aveni settled on the
hypothesis that the site had been oriented as it had because it
marked the setting position of the Pleiades about the year A.D.
150, the date when he assumed the city had been laid out.
Unfortunately the Pleiades are so faint as they near the horizon
that they can hardly be seen when they are setting anyway (Aveni,
1973).
Another problem with arguments based on star positions is that
even 50 years error in dating would generate 0º.5 in error due to
the effects of precession.
-
A couple of years after Aveni's explanation had been
advanced, two new solutions to Teotihuacán's orientation were put
forward. One was the result of excavations at the site which
revealed that beneath the Pyramid of the Sun lay a lava cave which
opened to the northwest. Conclusion -- It had been the aperture of
this cave which provided the alignment upon which the entire city
was plotted with such care (Heyden, 1975).However, no
archaeologist has ever explained how such a finely measured
orientation could ever be derived from the jagged walls of a
basaltic tube -- and they probably never will, because it can't
really be done.
The most credible solution to the mystery of the orientation
of Teotihuacán (and other Mesoamerican cities and archaeological
sites) is provided by Dr. Vincent H. Malmström in his 1997
volume,
"Cycles of the Sun, Mysteries of the Moon: The Calendar in
Mesoamerican Civilization" published by the University of Texas
Press. Here is a link to
Chapter 5 of his book where he presents the main gist of his
argument.
It is based on the Mesoamerican "celebration" of both the August
13th sunset and the solstices (which had been going on for well over
a millennium before Teotihuacán was even founded).
According to Dr. Malmström orientation of the grid of
Teotihuacan is based on the position at which the sun sets on August
13. Also, the siting of the Pyramid of the Moon at the far end of
the avenue was likewise done with such care that a sight-line
directly over the top of the Pyramid of the Sun marks the meridian,
thus allowing the priests of the city to fix the times of noon and
midnight with complete accuracy.

The sun set directly opposite the Pyramid of the Sun (the azimuth
of the sunset is 285º.5) on August 13 and April 30.Considering
that the latitude of Teotihuacan is 19º. 5N, on both days the sun
would be overhead at latitude 14º.8 North.
That happens to be the latitude of Izapa, in southernmost Mexico,
and August 13 happens to be the date that the Maya believed the
world began -- and here we find that date commemorated in the layout
of the largest pre-Columbian city ever to be constructed in the New
World, a thousand kilometers and a thousand years away from where it
all began."
Source:
Chapter 5. The Olmec Dawning

Location: 19° 40' N 90° 15' W
The Maya seem to have founded their earliest major ceremonial
center in the incipient "city" we
now know as Edzná (in the Yucatán
peninsula.)
Dating to about 150 B.C., Edzná was a bustling urban node for more than 20,000 persons at the
peak of its existence in the early centuries of the Christian era.

At Edzná the commanding structure known as Cinco Pisos has a
view out across the flat expanses of the Yucatán Peninsula for 20 -
30 km (12 - 20 mi). At the base of the stairway leading up its
western front stands an ingenious gnomon consisting of a tapered
shaft of stone surmounted by a stone disc whose diameter is the same
as the base of the shaft. At noon on the days of the sun's zenithal
passage, the entire shaft is darkened by the shadow of the disc
above it.
In order to calibrate the zenithal sun passage, the Maya priests
had erected at the base of the Cinco Pisos pyramid in Edzná an
absolutely ingenious gnomon.
(a gnomon can be any
upright pillar or post; its function is to not cast a shadow on the
days the sun is directly overhead.) The Edzná gnomon was a tapered
shaft of stone about half a meter (20 in.) in height surmounted by a
disk of stone which had the same diameter as the base of the shaft
(see the photo above). Thus, on the days that the sun stood directly
overhead, the disk at the top of the shaft would envelop the entire
shaft in its own shadow, whereas on any other day a stripe of
sunlight would fall across the shaft. Hence, there was no question
as to what day would begin the new year.

The astronomical importance of Edzná may be gauged from these
facts:
-
only at its specific latitude could the beginning of
the Maya new year be calibrated, here with the assistance of a
remarkable gnomon;
-
the "day the world began" was commemorated in the
"gun-sight" orientation between the doorway of Cinco Pisos and the
small pyramid across the plaza; and
-
lunar cycles were measured by using the line of sight
between Cinco Pisos and "La Vieja" on the northwestern horizon.

Although we cannot be certain when the Maya finally succeeded in
working out the lunar eclipse cycle, it would seem that most of the
basic "research" on the problem was carried out at Edzná. Located
some 300 m (1000 ft) to the northwest of Cinco Pisos is the ruin of
a lofty pyramid which Matheny has termed "La Vieja," or the "Old
One."[...] Even in its dilapidated condition it is still high enough
to intersect the horizon as seen from the top of Cinco Pisos;
indeed, it is the only manmade construction which does so. This fact
immediately prompted me [Dr. Vincent H. Malmström ] to measure its azimuth as seen from Edzná's
commanding edifice, and the value I obtained was 300º. This means
that the summit of the pyramid lies exactly 5º beyond the sun's
northernmost setting position at the summer solstice. Because the
moon's orbit is just a hair over 5º off that of the sun, it seems
very likely that the Northwest Pyramid, or "La Vieja," had been
erected as a horizon marker to commemorate the moon's northernmost
stillstand. Not only is "La Vieja" an eloquent testimonial to the
patience and accuracy of Maya "science," but because of its
specialized function, it is also probably worthy of being designated
as the oldest lunar observatory in the New World. (Indeed, if
Matheny's dating of "La Vieja" is accurate, then it is apparent that
the Maya had succeeded in measuring the interval between lunar
stillstand maxima at least by A.D. 300.)
Source: Calendar
Reform and Eclipses- The Place of Edzná
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