Okay if you are vertically above the pyramids and if you have properly sized the scale of the constellation's star map, the three axes stars and the pyramid peaks coincide. Really neat! Neater, yet is to let the constellation run its course through the sky so that the stars set on top the pyramid peak points as viewed horizontally from the ground.*
Now freeze everything right there!
We now have a vertical and a horizontal set of overlays. We also have the ability to measure the Earth-proportional distances between those points. That means we can calculate a distance value that may or may not be important. We will see! Then from all that information we can ask numerous questions, as well as deduce some things.
So,
we assign, in any given, arbitrary unit (miles, meters, or whatevers),
the star-to-star distance between the two high pyramid peaks. We therefore assign the distance of one "whatever unit" (W). Then, if
we measure in feet the peak-to-peak distance, as the crow flies,
from the one pyramid to the other. The two lines we have worked on so far are proportional since they line up like they do.
So, if we look in a proportional manner into space at those stars:
- as if they were light holes in a spherical geometric shape above us
- as if they all were therefore equally distant from us
and construct a line between the two stars that represent the two largest pyramid peaks, in order to construct a perpendicular from that line to the west most bright star of the constellation, then we can say, "The west star of the constellation is 1.25 the distance of the earlier mentioned two stars."
Now we can apply those values to the ever familiar algebraic
proportionally ratio stated as a is to b as c is to x. Ex ("x") being the value we seek. This, said in a mathematical manner, uses the notation:
"as is" is symbolized as ":"
"as" is symbolized as "::"
"( )" is just to keep the number and the number's unit of measure together
and looks like this notation: (1 W):(1600 ft.) :: (x W):(2000 ft) = 1/1600 :: x/2000 = 1.25 W
As in:
_|c__d
b |
a |
- a to b Earth spots are 1600 ft apart
- c to d Earth points are 2000 ft apart
All of that just to say this...
Now if the constellation, having run its course to allow the stars to perch atop the points of the pyramids, we can ask, "Is there significance:
- to the vertical distance of the other two remaining stars--one in the air, the other in the ground, 2000 ft below that peak
- to the place(s) (arc on which) one has to stand to accomplish the alignment of the stars on top of the pyramids?
If the distance below ground is some kind of naturally formed geological feature, then perhaps it was the determining factor for the measurements that determined the placement of the pyramids.
___________
* This can only happen either at rise or at fall not both, since the last star is at an offset of the line.
Edited by encouraged, 21 December 2011 - 03:55 AM.