This is also represented as a² + b² = c².
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)
Pythagoras was also considered to be the first Greek philosopher and discoverer that musical harmony is based on constants between intonation. One of his lesser known discoveries, at least to lay people, is the Tetraktys. The Tetraktys is a triangle, with a dot representing each row and its value. Thus, the first row is one, the second two, the third three, and the fourth four. If one were to add all of these up, the answer is ten (1 + 2 + 3 + 4 = 10, a perfect number in the decimal system). There are many mathematicl formulas and fascinating connections to the Tetraktys, among which the Kabbalists are obsessed with its relation to the Tetragrammaton (I would love to hear what David Littlefield has to say about this).
I bring this up in an LDS-related blog because a few years ago I went to the Manti Temple and was impressed with its symbolism and unique character. I asked some of the temple workers what the symbols on the door hinges and door knobs were but they did not know and referred me to a book about the Manti Temple that I could buy in a local grocery store. Those living in Manti know there's probably only one store. So I found the book, "The Manti Temple", and bought it. It was written specifically for the 100 year celebration of the temple and includes some great information about the temple and its history. One of the sections in the book includes an observation made by Hugh Nibley about the temple's unique metallic features. In case one is not familiar with his work, Nibley viewed the temple as a compass for the cosmos, a place where we can get our bearings in relation to the universe. By gaining further truth and knowledge there, we can answer the terrible questions of life (great chapter in Temples and Cosmos) and find our way back to God's presence.
According to Nibley, his Great Grandfather, John Patrick Reed, who was a Branch President and leader of his local Masonic order in Belfast, Ireland, designed many of the metal elements in the Manti Temple. Brother Reed, influenced by his Masonic associations, incorporated many of the symbols into the temple as purely cosmetic elements. One of the more well-known elements seen by patrons is the distinctive look on the door knobs. Look closely at the picture below.
If you were unable to see it, look at the top half of the door knob in the middle region. What do you see? Four lines that represent a triangle, the Tetraktys! You may ask why this is so significant when it is simply a masonic element from Greek philosophic schools used in an LDS temple? Consider this statement, attributed to Iamblichus:
The Tetraktys [also known as the decad] is an equilateral triangle formed from the sequence of the first ten numbers aligned in four rows. It is both a mathematical idea and a metaphysical symbol that embraces within itself — in seedlike form — the principles of the natural world, the harmony of the cosmos, the ascent to the divine, and the mysteries of the divine realm. So revered was this ancient symbol that it inspired ancient philosophers to swear by the name of the one who brought this gift to humanity — Pythagoras.”Why do we go to the temple? Is it simply to do work for the dead? Or do we go to learn "the principles of the natural world, the harmony of the cosmos, the ascent to the divine, and the mysteries of the divine realm"? Does not the temple teach us about the nature of the universe, the creation, or how we can ascend back to God? Is it just coincidence that this symbol, which represents learning the mysteries of the universe, was added as a decoration by one completely unfamiliar with its meaning, and yet still have deep and profound meaning for the temple?
For a similar situation, check out templestudy.com here, here, here, and especially here for Bryce's posts about the symbol of the Seal of Melchizedek at the San Diego temple which occurred under similar circumstances by the architect, and also included Hugh Nibley. Also checkout David Larsen's site on the Heavenly Ascent in apocalyptic literature.