The second thing you can learn from a pyramid is how to Square the Circle, a mathematical exercise steeped in ancient tradition and the first peak into the divine geometry of the Great Pyramid. In Masonic tradition the Square and Compass inherit a multitude of esoteric meanings, one of these being that a Square and Compass are geometrical tools used to construct elementary squares and circles.
The origin of the word geometry comes from the Greek geo- meaning “Earth,” and -metria, or “measurement.” In Squaring the Circle, we can determine the proportions of the Earth and the Great Pyramid in tandem. Although Squaring the Circle is traditionally considered an exercise of equating the area of a square to that of a circle, we instead equate the perimeter of a square, with side length b, and circumference of a circle, with radius r.
What is called Kepler’s Triangle, or the Golden Section, is the link between the square and the circle. Its slope is the Golden ratio, phi = 1.618033 – a universal constant that resonates throughout nature and the cosmos. In other words, if you take the height of the Great Pyramid, 280 cubits, and divide it by half its base, 440 cubits, you find the same relationship. If you take the Earth’s equatorial radius, 6378.1 km, add it to the Moon’s radius, 1737 km, and divide it by the Earth’s Equatorial radius you arrive at the same value.
To this day, the Great Pyramid is the most comprehensively surveyed building on Earth. There are many more relationships hidden within the Great Pyramid’s measurements that can teach us about astronomy and geometry. Here are a few links to get you started:
http://greatpyramid.blogspot.com/
http://www.americanscientist.org/issues/pub/2004/9/astronomy-and-the-great-pyramid
http://www.dartmouth.edu/~matc/math5.geometry/unit2/unit2.html
http://www.world-mysteries.com/mpl_2.htm
The origin of the word geometry comes from the Greek geo- meaning “Earth,” and -metria, or “measurement.” In Squaring the Circle, we can determine the proportions of the Earth and the Great Pyramid in tandem. Although Squaring the Circle is traditionally considered an exercise of equating the area of a square to that of a circle, we instead equate the perimeter of a square, with side length b, and circumference of a circle, with radius r.
To this day, the Great Pyramid is the most comprehensively surveyed building on Earth. There are many more relationships hidden within the Great Pyramid’s measurements that can teach us about astronomy and geometry. Here are a few links to get you started:
http://greatpyramid.blogspot.com/
http://www.americanscientist.org/issues/pub/2004/9/astronomy-and-the-great-pyramid
http://www.dartmouth.edu/~matc/math5.geometry/unit2/unit2.html
http://www.world-mysteries.com/mpl_2.htm
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