You wrote: Jacob...if you're reading this...take a look at John Legon and Petrie. I was confused by your projected length value for the GG (the sloped length being 88 to the Great Step). I believe you stated 80 rc. Is it not 82? Did I miss something?
Evidently you did miss something. I said the Grand Gallery horizontal roof length of 80 cubits as Petrie stated is located between the corbels on the North and South ends measures 80 cubits on the horizontal and 1/22 the perimeter of G1. Including the corbels 82 cubits sloping roof length is 89 1/10 cubits relative to the seked of the Grand Gallery giving a 81/80 ratio to the sloping floor of 88 cubits (616 palms, 2464 digits) equal to 1/20 the perimeter of G1.
Petrie's measurements here:<[www.ronaldbirdsall.com]; Petrie states "From this the length of the roof of the gallery is 1688.9 – 40.45 = 1648.4 horizontal, or 1838.6 sloping".
These figures are understandable once the seked of the Grand Gallery is known, simply a doubling of the sloping floor and ceiling length ratio, 81/80 + 81/80 = 81/40 or 2+1/40 cubits or 14 + 1/8 + 1/20 palms = 14 7/40 palms, 2+1/40 cubits. 14 7/40 palms gives a 81/40 run-rise ratio that yields our cotangent angle of 26º 16’ 53.08”.
Angles are actually irrelevant to the Ancient Egyptians and their methods, so for verification purposes: the measurements for the rise and run to the great step achieved by trigonometric methods are: sine 26º 16’ 53.08” x 88 = 38.9646675 cubits: cosine 26º 16’ 53.08” x 88 = 78.90345168 cubits. Figures for horizontal length and height to the great step from the entrance, Petrie gives as 39 cubits rise to a run of 78.9 cubits respectively. Which is not much different than those of the derived 14 7/40 seked.
Hope that clarifies any misconception.
LOL, My 5 year old granddaughter is very distracting I had to edit several errors.
Edited 2 time(s). Last edit at 30-Nov-18 01:11 by Sirfiroth.