Geodetic Triangulation

Orphic_Hymn · #1 (**permalink**) 12-16-2005, 08:37 AM

Reading several texts among them Aristotle's Politics, Plato's Laws, Pausanias' Description of Hellas...etc has shown us that temples and cities were situated in specific positions for some reason. This notion has lead several modern scholars/researchers to investigate this very issue, with one of the most well known in this field being Theophanis Manis..

What they've found is very interesting :

(Keep in mind the numeral system the Hellines used (letter coresponds to a number) and that a " stadio " = 184.98 meters. )

The distance from Delphoi to Athens or Olympia is exactly 660 stages and the isosceles triangle formed is part of a perfect heptagon.

The distance from Sparta to ancient Smyrna or the " idaion antro " in Crete is exactly 2198 stages

The distance from Delphoi to Iolkos or Eleusis is 550 stages The distance from Sparta to Knossos or Dodoni is exactly 1700 stages

The distance from Sparta to Iolkos or Dilos is exactly 1375 stages. The sides of the isosceles triangle of Sparta, Dilos Iolkos are part of a perfect decagon.

The distance from Pella to Samothraki or Delphoi is exactly 1360 stages The sides of the isosceles triangle of Pella, Samothraki, Delphoi is part of a perfect decapentagon .

The distance of Pella to Athens or Alexandria of Troy is exactly 1765 stadia. The distance of Pella to Olympia or Epidaurus is exactly 1908 stages

The sides of the isosceles triangle Pella, Olympia, Epidaurus is part of a perfect decahexagon. The distance from Epidaurus to idaion andro Crete or Dodoni is exactly 1620 stages

The distance from Dodoni to Delphoi or Iolkos is exactly 1050 stages The sides of the isosceles triangle Dodoni, Delphoi, Iolkos dodecagon

The distance from Dodoni to Olympia or the Trofonio Oracle is exactly 1240 stages

The sides of the isosceles triangle Dodoni, Olympia, Trofonio Oracle is part of a perfect decagon

The distance from Dodoni to the Palace of Nestor or Eleusis exactly 1600 stages. The sides of the isosceles triangle Dodoni, Palace of Nestor, Eleusis is part of a perfect 'nonagon' (sp?)

The distance from Dodoni to Athens or Sparta is exactly 1700 stages.

The sides of the isosceles triangle Dodoni, Athens, Sparta is part of a perfect 13agon The distance from Dodoni to Dilos or Alexandria of Troy is exactly 2482 stadia.

The sides of the isosceles triangle Dodoni, Dilos, Alexandria of Troy is part of a perfect decagon The distance from Dodoni to Knossos or Militos is exactly 3300 stages

The sides of the isosceles triangle Dodoni, Knossos, Militos, is part of a perfect dodecagon The distance from Argos to Athens, Delphoi, Olympia and Haironia is exactly 550 stages.

The distances of Argos - Athens, Argos - Olympia, Argos - Delphoi are sides of a perfect heptagon The distance from Argos to Ilion of Troy or ancient Smyrni is exactly 2123 stages

The distance from Dilos to An. Smyrni or Thebes 1080 The distance from Dilos to " idaion andro " or " the Trofonio Oracle " exactly 1296 stages

The distance from Dilos to Delphoi or Alexandria of Troy is exactly 1460 stages.. The distance from Dilos to Sparta or Pergamos is 1360 stages The distance from Dilos to Mykine or Argos is exactly 1210 stages

The distance from Eleusis to Athens or Megara exactly 100 stages

The distance from Eleusis to Corinth or Sounio is 330 The distance from Eleusis to Pella or A. Smyrni exactly 1700 stages.

The distance from Eleusis to " idaion andro " or Efessos is exactly 1782 stages.

The distance from Eleusis to Pergamos, Militos and Knossos is exactly 1815 stadia

These are only some examples, they proved that all ancient cities in ancient Hellas were situated in co-ordination to one another and that the distance between them was so accurate that only in a few circumstances the difference varied on a few cm.
They said this could only be accomplished with the use of GPS ( Global Positioning System ).

Oh, almost forgot my personal favorite.
If one is to use the Hellinic numeral system mentioned he'd find something even more interesting:

The distance from Athens to Knossos or Pella is exactly 1765 "stages" as mentiond above, but now lets see the numeric value of these cities.

Athenai = "alpha" = 1 + "theta" = 9 + "hetta" 8 + "ni" = 50 + "alpha" = 1 + "iota" = 10 ( a tottal of 79 ) +

Knossos = "kappa" = 20 + "ni" = 50 +"omega" = 800 + "sigma" = 200 + "sigma" = 200 + "omikron" = 70 + "sigma"= 200 (a tottal of 1540 ) +

Pella = "pi" = 80 + "epsilon" = 5 + "lamda" = 30 + "lamda" = 30 + "alpha" = 1 ( a tottal of 146 )

Now lets add the above :
Athenai + Knossos + Pella = 79 + 1540 + 146 = 1765

The numeric value of the city names, give us the exact sum of the distance between them!!!

admin · #2 (**permalink**) 12-16-2005, 02:37 PM

Great post. I will post the Greeks that estimated to an amazing closeness the distance to the moon! yes in 200 BC! and the circumference of the earth! it still amazes the scientists today...

nsminc · #3 (**permalink**) 12-29-2005, 10:05 PM

I have heard that the Acropolis,Afea in Aegina and another temple/ancient site form a near if not perfect triangle.

Has anyone heard of this and does anyone know what that other site might be?

Spartan · #4 (**permalink**) 12-30-2005, 08:54 PM

NSMIC,

I can't think of any other temple that is around the same distance as is the Parthenon to the temple of Afaia. I will look into it though.

nsminc · #5 (**permalink**) 12-30-2005, 11:35 PM

It's a total fluke but I found it from another forum:

-As mentioned above, all the dimensions of the Parthenon are inter-related and constitute mathematical expressions based on the numeric system that converts the ancient Greek alphabet letters into numbers, and the Pythagorian mathematical principles. I don’t want to infringe on your patience (I already did too much and accept my apologies) but there seems to be a strong relationship between the Parthenon which belongs to the Owl-eyed Athena (ΓΛΑΥΚΩΠΙΣ ΑΘΗΝΗ=92 according to the Pythagorean numerology), with the owl being the symbol of wisdom, and having a direct relationship with 10 (which is a number of deity) times 92 = 920 which is also the number that corresponds to the sum of the numbers of the letters of the words KΛΙΜΑΞ ΘΕΟΥ “Divine Stairway” (or stairway to heaven), which is inscripted with hieroglyphs on the front of Chufu’s Pyramid.

Funny thing that the volumes of Parthenon’s virtual Pyramid and Chufu’s Puramid have a relationship 1:2 which means that the Chufu’s Pyramid works as a diapason of the energy and vibrations of the Parthenon. I mean, I knew that Greeks and Egyptians were close but not that close.

In addition, there are relationships between the dimensions of Parthenon and various names or sentences. The interesting thing however (since I believe that you got the idea) are the geometric relationships between the Acropolis and many of the other holy places of Ancient Greece. Take as an example the next sketch which I devised using a map from the Greek translation of the book of Peter Connolly and Hazel Dodge, The Ancient city:

What is seen here is a diamond consisting of two isosceles triangles formed if we connect the sites of the Ancient Greek temples in Athens (Parthenon), Cape Sounion (Poseidon’s temple), Afaia Aigina temple in the island of Aigina (Athena) and Megara.

http://www.skyscrapercity.com/showthread.php?t=124168

nsminc · #6 (**permalink**) 01-02-2006, 09:41 PM

Man has been concerned about the earth on which he lives for many centuries. During very early times this concern was limited, naturally, to the immediate vicinity of his home; later it expanded to the distance of markets or exchange places; and finally, with the development of means of transportation man became interested in his whole world. Much of this early "world interest" was evidenced by speculation concerning the size, shape, and composition of the earth.

The early Greeks, in their speculation and theorizing, ranged from the flat disc advocated by Homer to Pythagoras' spherical figure-an idea supported one hundred years later by Aristotle. Pythagoras was a mathematician and to him the most perfect figure was a sphere. He reasoned that the gods would create a perfect figure and therefore the earth was created to be spherical in shape. Anaximenes, an early Greek scientist, believed strongly that the earth was rectangular in shape.

Since the spherical shape was the most widely supported during the Greek Era, efforts to determine its size followed. Plato determined the circumference of the earth to be 40,000 miles while Archimedes estimated 30,000 miles. Plato's figure was a guess and Archimedes' a more conservative approximation. Meanwhile, in Egypt, a Greek scholar and philosopher, Eratosthenes, set out to make more explicit measurements.

He had observed that on the day of the summer solstice, the midday sun shone to the bottom of a well in the town of Syene (Aswan). Figure 1. At the same time, he observed the sun was not directly overhead at Alexandria; instead, it cast a shadow with the vertical equal to 1/50th of a circle (7° 12'). To these observations, Eratosthenes applied certain "known" facts (1) that on the day of the summer solstice, the midday sun was directly over the line of the summer Tropic Zone (Tropic of Cancer)-Syene was therefore concluded to be on this line; (2) the linear distance between Alexandria and Syene was 500 miles; (3) Alexandria and Syene lay on a direct northsouth line.

FIGURE 1 ERATOSTHENES' METHOD FOR DETERMINING THE SIZE OF THE EARTH

From these observations and "known" facts, Eratosthenes concluded that, since the angular deviation of the sun from the vertical at Alexandria was also the angle of the subtended arc, the linear distance between Alexandria and Syene was 1/50 of the circumference of the earth or 50 x 500 = 25,000 miles. A currently accepted value for the earth's circumference at the Equator is 24,901 miles, based upon the equatorial radius of the World Geodetic System (Chapter VIII). The actual unit of measure used by Eratosthenes was called the "stadia." No one knows for sure what the stadia that he used is in today's units. The measurements given above in miles were derived using one stadia equal to one-tenth statute mile.

It is remarkable that such accuracy was obtained in view of the fact that most of the "known" facts and his observations were incorrect: (1) although it is true that the sun at noon is directly overhead at the Tropic of Cancer on the day of the summer solstice, it was erroneously concluded that Syene lay on the line. Actually, Syene is 37 miles to the north; (2) the true distance between Alexandria and Syene is 453 miles and not 500; (3) Syene lies 3° 30' east of the meridian of Alexandria; (4) the difference of latitude between Alexandria and Syene is 7° 5' rather than 7° 12' as Eratosthenes had concluded.

Another ancient measurement of the size of the earth was made by the Greek, Posidonius. He noted that a certain star was hidden from view in most parts of Greece but that it just grazed the horizon at Rhodes. Posidonius measured the elevation of the same star at Alexandria and determined that the angle was 1/48th of circle. Assuming the distance from Alexandria to Rhodes to be 500 miles, he computed the circumference of the earth as 24,000 miles. While both his measurements were approximations when combined, one error compensated for another and he achieved a fairly accurate result
http://www.ngs.noaa.gov/PUBS_LIB/Geo...n/TR80003A.HTM