Measuring ELS MAP Course Headings

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The Prerequisites

1. Before beginning the search for an ELS Map, specify the axis term (the first term sought) and other key terms to be sought that you believe to be geographically related to it. Generally, in this experiment, the related terms are either Jerusalem (with 6 or 7-letter Hebrew spellings) or Temple (but other related terms were also chosen).

2. Once terms are found in approximately the correct relative position, a closer examination begins to see if they match ELS Map criteria. Initially, in 1999, I learned that the GPS (Global Positioning Satellite) course between Jerusalem and Zuqba, Egypt was 252o True, with a 1o degree margin of error. Therefore, when I found that the angle from Jerusalem to Zuqba on ELS Map 1 corresponded to a course of 252.35o True, I was delighted. But Jerusalem is a big city, so where should the course angle measurement begin? Since the Ark was last seen at Temple Mount, Temple Mount became ground zero. The coordinates there are 31 degrees 46 minutes 39.72 seconds North, 35 degrees 14 minutes, 4.38 seconds East.

3. On ELS Map 1 (http://arkcode.com/whats_new_1.html) for over two years I was aware that the word for Temple was there, but I ignored it because it is a high frequency word. However, when I finally did check the course angle from the end of Temple to the beginning of Ark of the Covenant, it also rounded off to 252o True, but it was actually 251.565o True. Now before continuing, there are many ways to place Jerusalem and Temple in a matrix in such a way that they round off with a course of 252o True to Zuqba or Ark of the Covenant. For a specific look at the multiple ways they can fit in such manner, see my web page at http://arkcode.com/catalog.html. However, in general, letters are only accepted for angular measurement if they fall into one of three categories: (1) Closest letters spatially between the two words; (2) First letter of the name; or (3) last letter of name. Thus, in a horizontal row, if the words Jerusalem and Zuqba appeared in sequence, letters of Jerusalem that would work would be J and M. For Zuqba it would be Z and A. Now, in such an English sequence (JERUSALEMZUQBA) the course from Jerusalem to Zuqba would be read as 090o True, while from Zuqba to Jerusalem the course would be 270 o True. Of course, as we know that the course is approximately 252o True from Jerusalem to Zuqba, with a reciprocal course of 072o True. So it is immediately apparent that the horizontal sequence JERUSALEMZUQBA is not an ELS Map.

4. All course angles are related to the 360 degrees in a circle. While I was in the Navy (before I joined the Coast Guard), I learned that there is right way to do something, a wrong way to do, and a Navy way to do it! Alas, what’s a poor naval aviator to do? With respect to course angles, and going north, it depends on whether the officer is commanding a ship, or flying a plane. Everybody agrees on courses 001 degrees through 359 degrees (True or Magnetic). East is 090o, South is 180o, West is 270o. The problem is what happens at north? For a mariner, the course is given as 000o. But for an aviator, it’s 360o. True courses, by the way, relate to the geographic north pole of the Earth. But Magnetic courses relate to the Magnetic North Pole of the Earth which moves constantly. In 2005 the North Magnetic Pole lay near Ellesmere Island in northern Canada at 82.7o N, 114.4o W. Before even going any further, let it be known that ELS Maps should never be based on Magnetic courses. This is because, as was mentioned above, the Magnetic north pole of the Earth drifts each year (by an amount generally cited in the center of a compass rose on a mariner’s chart). Further, on rare occasions (over hundreds of thousands of years), the magnetic poles of the Earth can actually reverse!.

5. Do measured course angles on an ELS Map relate in any way font sizes, letter, or line spacing? NO! They are based only on number of rows (Y) and columns (X) between terms. Once these quantities are established, it’s a matter of very elementary trigonometry and common sense. So, how, for example, is the often repeated course of 251.565o True established? Let us examine ELS Maps 2 (found by Dr. Robert Haralick at City University of New York):

 

ELS MAP 2

What is the value of angle a? Since the absolute value of Y = 1, and X = 3, the tangent is Y/X. So the tangent value is 1/3 = .3333333. Now, to find which angle generates such a tangent value, we take the Arctangent (inverse tangent) for .3333333). We find that this equals 18.4349o. This is rounded off to 18.435 o. Angle B is a right angle (90o). So what is angle c? Since a triangle has 180o, the remaining angle is obviously 71.565o (180o-90o-18.435 o = 71.565o ). Now, if we just went down (south) along the Y axis, that would correspond to a heading of 180o True. But we have seen that in this triangle, we are preceding 71.565o to the west of south. So we add 71.565o to 180 o true and arrive at a True heading of 251.565o. Indeed, so long as the ratio of rows dropped to columns to the left remains at 1 to 3, this will always be course derived. A final word about the length of an axis term. While Dr. Haralick was finding ELS Map Figure 2 (in response to my ELS Map 1, and other ELS Maps), it became obvious that the axis term in such plots should either have at least seven letters, or, in the case of a six-letter term like Jerusalem, it must be one of the shortest existing ELS finds for the term. This is because between skips 60,961 and –60,961 there are 3,479 occurrences of Jerusalem (more than nine per degree). Further, as with ELS Map 2, there must be (in the case of my research) a very close occurrence of Ark of the Covenant. ELS Map 2 has Ark of the Covenant in green. It also has the position in purple. Finally, the matrix size is relatively small (132 letters in area).

 

Jerusalem (in red) is the axis term. Again, that means that it is the first term sought. Jerusalem appears at its third shortest skip in the Torah (-30), Zuqba (in blue) at skip –1 touches the next to last letter of Jerusalem. So in this case, we draw a line from the last letter of Jerusalem (here, the top red letter – mem) to the first letter of Zuqba (tsadeh). We find that to go from Jerusalem’s letter mem to Zuqba’s letter tsadeh, we must go one row down and three columns to the left. In graphing terms, the vertical drop of one row is measured along the Y axis. Here Y = -1. The horizontal shift of three columns left is measured on the X axis. Here X = -3. Again, we ignore line and column spacing which are linked to varying defaults on printers. So what we are now looking at is a simple triangle that looks like the picture in the column to the right with an inverted Jerusalem along the Y axis, and Zuqba along the X axis (absolute values are used):