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Vesica Piscis with the outline of the Great Pyramid

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PART 4 - THE GREAT PYRAMID AND THE 30th PARALLEL

The radius of the Earth is also 87% of the distance from the center of the Earth to the point of the exterior triangles’ intersections (AP, AQ, AR, etc.):

1.00 � 1.15 = .87

The Greek foot is thought to have been developed before the size and shape of the Earth was known and independently from the foot, which is also thought to have been developed before the size and shape of the Earth was known. The foot is 87% of the length of the Greek foot.

The mile, which is thought to have been developed before the size and shape of the Earth was known, is 87% of the length of the nautical mile, which was developed specifically in relation to the size of the Earth. The nautical mile equals one minute of latitude, so 60 nautical miles equals one degree of latitude and 5,400 nautical miles equals the 90 degrees of latitude between the Equator and the poles.

The distance from the Equator to the poles is 6,215 miles:

5,400 � 6,215 = .87

One minute of latitude equals one nautical mile at any longitude.

At the equator, one minute of longitude also equals one nautical mile, but at higher latitudes, the distances between each minute of longitude become shorter. Because the straight line distance through the Earth at the 30th parallel is 87% of the diameter of the Earth, the circumference around the Earth at the 30th parallel is 87% of the circumference of the Earth at the Equator, and each minute of longitude at the 30th parallel is 87% of the distance of each minute of longitude at the Equator. As a result, just as one nautical mile equals one minute of longitude at the Equator, one standard mile equals one minute of longitude at the 30th parallel.

The currently accepted value for the Equatorial diameter of the Earth is 7,926 miles, with an Equatorial radius of 3,963 miles. The ratio of the radius of the Earth to the straight line distance through the Earth at the 30th parallel is 1:1.732.

3,963 miles x 1.732 = 6,864 miles (the straight line distance through the Earth at the 30th parallel).

6,864 miles x pi = 21,564 miles (the circumference of the Earth at the 30th parallel).

21,564 miles � 360 degrees = 59.9 miles (one degree of longitude at the 30th parallel).

59.9 miles � 60 minutes = .998 miles (one minute of longitude at the 30th parallel).

As an alternative proof, the currently accepted value for the Equatorial circumference of the Earth is 24,902 miles, and the circumference of the 30th parallel is 87% of the circumference of the Earth.

24,902 miles x .87 = 21,664 miles (the circumference of the Earth at the 30th parallel).

21,664 miles � 360 degrees = 60.1 miles (one degree of longitude at the 30th parallel).

60.1 miles � 60 = 1.00 miles (one minute of longitude at the 30th parallel).

Conclusion: One minute of longitude equals one mile at (or, like the Great Pyramid, just below) the 30th parallel.

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For more than twenty years, I have been studying the image generating properties of reflective spheres stacked in 52 degree angle pyramids. The 52 (51.827) degree angle slope of the sides of The Great Pyramid in Cairo, Egypt embodies the Golden Mean which is the ratio that is used in Nature to generate growth patterns in space. Sacred Geometry studies such primal systems which reveal the unity of the cosmos by representing the relationships between numbers geometrically. The Vesica Piscis is one of the most fundamental geometrical forms of this ancient discipline and it reveals the relationship between the The Great Pyramid and the 2 dimensional expansion of a circle of one unit radius R as shown in Figure 1. This relationship is more completely described in The New View Over Atlantis by John Michell published by Thames and Hudson.

Figure 1         Vesica Piscis in 2 Dimensions

In the early 1970s, I became very interested in the three dimensional representation of this geometry and I visualized this as a three dimensional pyramid inside two intersecting spheres shown in Figure 2.

Figure 2          Vesica Piscis in 3 Dimensions

THE 30TH PARALLEL

The horizontal axis of this spherical earth model represents the equator, CE is the 30th parallel, B is at 60° north latitude and A is the North Pole. The 30th parallel is one-third of the great circle distance from the equator to the North Pole, and it is located at one-half of the height of the northern hemisphere. Like the Great Pyramid, the maximum latitude of the line of ancient sites is very close to the 30th parallel.

This diagram below illustrates that the relationship of the 30th parallel to the circumference of a spherical earth model is the geometric relationship known as the Vesica Pisces. In relation to the lower circumference, BD is at 30° N latitude. In relation to the upper circumference, BD is at 30° S latitude. The ratio between the straight line distance of the 30th parallel and the radius of the earth is 1.732 to one, an exact expression of the square root of three.

In relation to the lower circumference, A represents the North Pole. Both circles are the same size and D is on the circumference of both circles, demonstrating that sites on the 30th parallel, such as the Great Pyramid, are equally distant from the North Pole and the center of the earth.

ADE is an equilateral triangle with each side equal to the radius of this spherical earth model. CD bisects ADE, forming two 90° 60° 30° right triangles. The short side of a 90° 60° 30° right triangle (CE) is exactly one half of the length of the hypotenuse (ED) and the long side (CD) is equal to the short side times the square root of three:

1 ² + √3 ² = 2 ²

The diagramed earth measures for CE, CD and ED produce the same result:

1980 ² + 3430 ² = 3960 ²

BD is twice the length of CD. The measures of the inscribed 90° 60° 30° right triangle demonstrate that the straight line distance of the 30th parallel (BD) is equal to the radius of the earth times the square root of three:

3960 miles x 1.732 = 6860 miles

The Vesica Pisces describes the square root of three and equilateral triangles describe the square root of three over two. The hexagram is comprised of equilateral triangles and the diagram below shows the correspondences between a Vesica Pisces and a hexagram. All of the circles are centered on the two intersection points at the middle height of the hexagram. The red circles have a radius of two inches and form a Vesica Pisces.

The blue circles have a radius of one inch. The green circles have a radius of 1.732 inches. The distance between the two intersection points at the middle height of the hexagram is two inches. The length of the sides of the two large equilateral triangles is three inches. The length of the sides of the six small equilateral triangles is one inch, equal to the radius of the blue circles. The points where the green circles touch the intersection points of the hexagram are 1.732 inches away from the points where the green circles are centered on the intersection points at the middle height of the hexagram.

See Also: VESICA DERIVATIVES

Unlike the diagrams above, the earth is not perfectly spherical. It is slightly wider at the equator and slightly flattened at the poles. This is primarily due to the centrifugal force generated by the spin of the earth on it's axis. As a result, the curvature of the earth is greater towards the equator, and less towards the poles, causing the length of degrees of latitude to increase very slightly from the equator to the poles. The length of one degree of latitude from the equator to 1° north is 68.71 miles. The length of one degree of latitude from 89° north to the north pole is 69.4 miles. 68.71 miles is equal to 362776 feet, divided by sixty equals 6046 feet per minute of latitude, divided by two equals 3023 feet for one-half minute of latitude at the equator. This is the precise length of the perimeter of the Great Pyramid.

With baselengths of 440 cubits per side, the perimeter of the Great Pyramid is 1,760 cubits long. The ancient Egyptian cubit equals one and a half ancient Egyptian feet. The 1,760 cubit perimeter of the Great Pyramid is 2,640 ancient Egyptian feet long. Since this distance equals one half of one minute of latitude at the equator, 5,280 ancient Egyptian feet (the same number of feet found in the English mile) equals the length of one minute of latitude at the equator.

As shown by the Vesica Pisces diagrams, a degree of longitude at the 30th parallel is equal to a degree of longitude at the equator times the square root of three over two (.866):

69.17 miles x .866 = 59.9 miles

The most current Global Positioning Survey data shows that one degree of longitude is exactly 60 miles long at 29.92° north, in the immediate vicinity of Giza and the other pyramid fields just north of ancient Memphis. At this latitude, one minute of longitude is equal to one mile.

A number of additional correspondences exist between the measures of the Great Pyramid in cubits and measures of the earth in miles. The equatorial circumference of the earth is 24,900 miles. The perimeter of the Great Pyramid is 1,760 cubits. 1,760 times the square root of two (1.4142) equals 2,490. The mean radius of the earth is 3,960 miles. The height of the Great Pyramid is 280 cubits. 280 times the square root of two equals 396. One half of the radius of the earth is 1,980 miles. The base lengths of the Great Pyramid at the height that the upper shafts exit the pyramid are 198 cubits.

The values in modern English feet for the ancient Roman and Greek feet are as follows:

Roman: .9732096

Greek: 1.01376

In The New View Over Atlantis John Michell points out that the ratio between the lengths of these two measures is the simple fraction of 24/25:

.9732096/1.01376 = 24/25

Since both Roman and Greek miles were comprised of 5000 feet, 25 Roman miles also equals 24 Greek miles:

.9732096 x 5000 = 4866.048 feet

1.01376 x 5000 = 5068.8 feet

4866.048/5068.8 = 24/25

There are 5280 feet in an English mile. Michell also noted that 25 Greek miles equals 24 English miles:

5068.8/5280 = 24/25

The length of the ancient Sumerian foot and the ancient Saxon foot were both equal to 1.1 English feet. The ancient Egyptian cubit of 20.625 inches gives an ancient Egyptian foot of 13.75 inches or 1.1458 English feet. John Neal pointed out that the ratio between the length of the ancient Sumerian foot and the ancient Egyptian foot is also 24/25:

1.1/1/1.458 = 24/25

Assuming 5000 feet in both the Sumerian and the ancient Egyptian miles, 25 Sumerian miles also equals 24 ancient Egyptian miles:

1.1 feet x 5000 = 5500 English feet

1.1458 feet x 5000 = 5729 English feet

5500/5729 = 24/25

The ratio between the English mile of 5,280 feet and the Sumerian/Saxon mile of 5,500 English feet is also the fraction of 24/25:

5280/5500 = 24/25

Thus, the relationships between all five of these measures are precisely defined by the fraction of 24/25:

25 Roman miles equals 24 Greek miles:

4866.048/5068.8 = 24/25

25 Greek miles equals 24 English miles:

5068.8/5280 = 24/25

25 English miles equals 24 Sumerian miles:

5280/5500 = 24/25

25 Sumerian miles equals 24 ancient Egyptian miles:

5500/5729 = 24/25

See Also: JUST INTONATION AND THE 25/24 INTERVAL

According to Michell, Neal and other ancient metrologists, ancient cubits were equal to one and a half feet. There are 5280 English feet in a mile and the mean diameter of the earth is 7920 miles long. The relationship between these two numbers is:

5280 x 1.5 = 7920

Given an ancient English cubit of 1.5 feet, 5280 cubits equals 7920 feet, times 5280 equals 7920 miles, the same as the diameter of the earth. This may also be expressed as:

1.5 feet x 5280² = 7920 miles

Doubling the Circle

 

John Michell suggests that this (on the left below) is the template for St Mary's Chapel at Glastonbury, as well as for the Stonehenge and other structures. It consists of a circle inscribed in a triangle and a hexagram that are inscribed in another circle. The implication is that there is another hexagon inside the central circle and another one outside of the outer one, ad infinitum.

Adding another hexagram in the center would give us the figures of Metatron's Cube and the Tree of Life, seen on the last page, but Michell never mentions the name Metatron's Cube, and never fully explores the development of this figure.

 

    

I call this geometric exercise 'doubling the circle', because by adding two more circles to the first image (above right) you can prove that the outer circle is twice as large as the inner one, since a vesica made of three over-lapping circles 1 unit wide is 2 units wide. [Remember that the vesica consists of equal circles whose centers are on the circumference of another circle, causing an overlap one radius wide.]

 

The Vesica Piscis

The vesica piscis produces a series of ever increasing (or decreasing, depending on how you look at it) circles, hexagrams, triangles and rectangles, each twice as large as the next one (like the fractals seen earlier). The image on the left below has three 'levels' of circles showing that the outer circle is four small circles tall. [This is the image that illustrates what was said on the previous page about using circles to prove distances in the 'idealized' DC map.]

 

        

Overlaying the figure on the left onto the eagle on the Great Seal so that the top small circle matches the circle around the field of stars (which are themselves arranged like the Star of David) produces the image in the middle above. The image on the left below shows how two vesica (3 circles) define twin equilateral triangles, hexagons and hexagrams, while the image on the right shows how this was adapted to the other side of the Great Seal. [Note how the base of the blue triangle and base of the pyramid coincide.]

 

    

The vesica is the template for the Great Seal, the cathedral plan and the DC map.

 

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Triangulum and Quadratum

Let's look closely at the inner circle in the Milan Cathedral plan as viewed by Caesarino. Inscribed within that circle we find an equal-armed cross and a diagonal square (both in red), a hexagon and a triangle formed by the diagonals of the hexagon.

 

[Notice how the rhombus generates a cross with arms that are un-equal. Draftsmen use two different triangles, one is a 45-45-90 triangle that is one quarter of the diagonal square, while the other is a 30-60-90 triangle that is one quarter of a rhombus. Half a diagonal square is still a 45-45-90 triangle, while half a rhombus is an equilateral traingle.]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

http://dcsymbols.com/myideas/ideas4.htm

We now know that the triangle and hexagon derive from the vesica, and are associated with the ad triangulum spoken of earlier. The ad quadratum is based on a diagonal square which results from a circle and a cross. The top of the triangle from the left image and the bottom of the square from the right image, when overlapped, produce the Masonic Compass and Square, which represent the ad triangulum and ad quadratum as symbols of the double soul of the Universe.

 

        

When Striling suggests that the Milan Cathedral was designed using a cross and rhombus (or vesica), he was referring to the quadratum and triangulum design forms which Masons represent by the square and compass and which designers represent by a triangle and a square. In the DC map, the quadratum is represented by the othogonal street grid and the oblique square that constituted the district originally. The District of Columbia is shaped like a diagonal square.

 

Below we add two more large circles to the image above which produces a large Star of David and the rectangular grid. Extending the lines of the hexagon in the middle circle produces the isometric grid (in red). Where those lines cross the big triangle marks the top points of the pentagram. The vesica generates the equilateral triangle, the rhombus, the Star of David, Metatron's Cube and the Tree of Life.

 

 

The ideal template for the DC map

Remember that the ideal template was shortened about 75% to produce the DC plan, meaning that the map image was reduced in height until what was an equilateral triangle now has ~52 degree base angles, accomodating the pyramid cross-section and producing a shortened pentagram and hexagram. The Wash Mmt is south and east of where it 'should' be because it was moved in order to mimic the position of he Queen's Chamber in the cross-section.

In adition to that, the Capitol Building was located north of it's ideal position for topographic reasons expalined above, which throws off everything south of the WH. So, if we move the CB south a little bit and realign the elements of the map that relate to the it, then increase the height of the triangle in the DC map, we will get the above figure in the western half of the map.

Here is an image of the template for all of the map. In this image and the one above, the CB and East Cap St have been moved south, straightening Penn, NY, and Maryland Ave's, and relocating Virginia Ave. Mass Ave is straightened by moving Lincoln Square the same distance east of the CB that the WH is west of it.

 

 

 

 

 

 

 

 

 

 

 

 

 

"The Symbolism and Spiritual Significance
of the Number 153"

by Dee Finney

This page is related to:  http://www.greatdreams.com/17-fish.htm
and
http://www.greatdreams.com/numbers/jerry/153.htm