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12. 47th PROBLEM OF EUCLID, ALSO KNOWN AS THE BRIDE’S CHAIR

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This mathematical theorem has been called one of the foundations of Freemasonry. It is called the 47th Problem for no more esoteric reason than Euclid published a book of theorems, of which this was number 47.

Its significance within Freemasonry is somewhat nebulous. However, the beginnings of the Fellowship in architecture and construction, and the usefulness of the 47th Problem as a measuring device, might give us the answer. The design features in Masonic regalia including lodge decorations and Masonic “jewels.”

The 47th Problem is also called the Egyptian string trick, and a practical demonstration in making of the shape illustrates its efficacy perfectly. Take a piece of string and tie 12 knots at exact intervals along the string. Then join the ends of the string, again making sure that the knots are evenly spaced. Hammer a stick into the ground. Put one of the knots over the stick. Stretch three divisions of knots and sink another stick into the ground at the point of the third knot. Then take a third stick and skewer it into the ground at the point where a fourth knot falls. This gives a triangle in the proportions of three, four and five, and further, the lines of the string can be extrapolated to make three squares of 9 parts, 16 parts, and 25 parts.

This simple device enabled the Egyptians to remeasure their fields after the Nile flooded every few years, washing away the boundary markers. The Egyptian string trick results in a perfect right angle, an essential device in the construction of a building, and as essential today as it was thousands of years ago, although methods of constructing the angle may have changed. Pythagoras traveled to Egypt and may have discovered it there, or he may have discovered it alone. Whatever the case, it is this geometrical solution that caused him to shout “Eureka.” In addition, it is said that 100 bulls were sacrificed in honor of the importance of this seemingly simple discovery, indubitably one of the secrets that was part of the hidden knowledge of the Master Mason; it may well have been one of the pieces of information for which Hiram Abiff was murdered.

The Element Encyclopedia of Secret Signs and Symbols

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