January 20, 2012 12:00PM
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Registered: 12 years ago
Posts: 14
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There is another significant aspect to the G2 ratio of 4/3 which I should mention. To calculate the circumference and area of a circle then knowledge of the radius length and the value for pi (or an approximation thereof) are sufficient, since:
Circumference = 2 x pi x r
Area = pi x r^2
However to compute the volume of a sphere another factor comes into play, 4/3:
volume = r^3 x pi x 4/3
Of course pi is the defining ratio of G1 and 4/3 is the defining ratio of G2. However if the pyramid builders knew how to compute the volume of a sphere how might they demonstrate this? How about by encoding the ratio of the width of a cube to the radius of sphere with an equal volume? This ratio is 1.612 or 403/250. The precise ratio found in the dimensions of G3 with 403/2 = 201.5 base and 250/2 = 125 height. In other words a cube with a width of 201.5 cubits will have the same volume as that of a sphere whose radius is 125 cubits. This effectively "cubes the sphere" just as G1 effectively "squares the circle." A sphere of diameter 250 cubits also relates to the spacing module of 250 cubits which Legon documented.
Of course all of this could just be "coincidence"... but personally I rather doubt it.
Nick
Edited 1 time(s). Last edit at 01/20/2012 12:52PM by affiliator.
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Pistol |
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RLH |
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Pistol |
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RLH |
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lobo-hotei |
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RLH |
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RLH |
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RLH |
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Pistol |
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MJ Thomas 2 |
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MJ Thomas 2 |
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