
...before i can do anything... i need to start with...
exact, established, accepted measurements of the
pyramids and other various structures themselves
(such as the satellite pyramids, and the sphinx, etc)

...for the 3 main pyramids... i started with Legon
who seems comprehensive, and cites Petrie's data



...but the measurements for "the Queens"
or "satellite" pyramids are not easy to find




and there seems to be a discrepancy
in the conversion of a cubit to the
more familiar (modern) measurements
...which i haven't needed until now

what Legon calls a Royal Egyptian Cubit
equal to 20.62 inches or 0.52375 meters
is apparently a different kind of cubit
than what the common folk are using....



from:
Tour Egypt,
(Khufu),
(Menkaure)

Queens Pyramid G1a
Base length 49.5 meters square
Original height: 30.25 meters
Angle of inclination 52°
Queens Pyramid G1b
Base length 49 meters square
Original height: 30 meters.
Angle of inclination 52°
Queens Pyramid G1c
Base length: 46.25 meters square
Original height: 29.62 meters.

Queens Pyramid G3a
Base length: 44 meters
Original height: 28.4 meters
Angle of inclination: 52° 15'
Queens Pyramid G3b
Base length: 31.24 meters
Queens Pyramid G3c
Base length: 31.24 meters



i can find no correlation to those particular ratios
every conversion website says a cubit = 18 inches
...and while there are a few other types of cubits
none of them chime in at that magic 20.62 inches
...the closest is long cubit (biblical) 0.5334 m, 21"
...so, it's... been a... little bit o... frustrating...

i want to keep it as simple and basic as possible
while maintaining a responsible level of accuracy

...and i definitely want to use Legon's cubits...
...that's where the numbers seem to match best...
(maybe i can convert everything to modern meters)
 ....... Mean Sides of the Giza Pyramids ....
...... Petrie .................. Legon .....
..... Inches .. Azimuth .. Cubits .. Design
G1 .. 9068.8 .. 3' 43" .. 439.81 .. 439.82
G2 .. 8474.9 .. 5' 26" .. 411.00 .. 411
G3 .. 4153.6 .. +14' 03" .. 201.44 .. 201.5



so... this is what i have to start with...
which leaves me alot of blanks to fill in





39.3701 inches per meter
0.0254 meters per inch

20.620 inches per cubit
0.0484 cubits per inch

0.524 meters per cubit
1.909 cubits per meter



..... inches ... meters .. cubits .. Design .. model
G1a ..  ... 49.50 ...  ..  .. 
G1b ..  ... 49.00 ...  ..  .. 
G1c ..  ... 46.25 ...  ..  .. 
G1 ... 9068.8 ...  .. 439.81 .. 439.82 .. 440
G2 ... 8474.9 ...  .. 411.00 .. 411.00 .. 411
G3 ... 4153.6 ...  .. 201.44 .. 201.50 .. 201.5
G3a ..  ... 44.00 ..  ..  .. 
G3b ..  ... 31.24 ..  ..  .. 
G3c ..  ... 31.24 ..  ..  .. 




... meters / 0.0254 = inches
G1a = 49.50 >> 1948.8188976377952755905511811024
G1b = 49.00 >> 1929.1338582677165354330708661417
G1c = 46.25 >> 1820.8661417322834645669291338583
 inches / 20.620 = Royal Egyptian Cubits
G1a >> 94.511100758379984267243025271678
G1b >> 93.55644317496200462817996441033
G1c >> 88.305826466163116613333129673036
 G3a = 44.00 >> 1732.2834645669291338582677165354
G3b = 31.24 >> 1229.9212598425196850393700787402
G3c = 31.24 >> 1229.9212598425196850393700787402
 G3a >> 84.009867340782208237549355797042
G3b >> 59.647005811955367848660042615907
G3c >> 59.647005811955367848660042615907



...or... using Legon's...
conversion factor, direct

0.52375 meters per cubit
1.90931 cubits per meter

slightly off... (1000ths)



... meters / 0.52375 = cubits
G1a >> 94.510739856801909307875894988067
G1b >> 93.556085918854415274463007159905
G1c >> 88.305489260143198090692124105012
 G3a >> 84.009546539379474940334128878282
G3b >> 59.64677804295942720763723150358
G3c >> 59.64677804295942720763723150358




..... inches ... meters .. cubits .. Design .. model
G1a .. 1948.82 .. 49.50 .... 94.51 ..  .. 
G1b .. 1929.13 .. 49.00 .... 93.56 ..  .. 
G1c .. 1820.87 .. 46.25 .... 88.31 ..  .. 
G1 ... 9068.8 ... 230.5 ... 439.81 .. 439.82 .. 440
G2 ... 8474.9 ... 215.25 .. 411.00 .. 411.00 .. 411
G3 ... 4153.6 ... 105.5 ... 201.44 .. 201.50 .. 201.5
G3a .. 1732.28 .. 44.00 .... 84.01 ..  .. 
G3b .. 1229.92 .. 31.24 .... 59.65 ..  .. 
G3c .. 1229.92 .. 31.24 .... 59.65 ..  .. 



so... already accepting
the commonly established
440 cubits per side for G1
that rounded off conversion
comes out to: 230.56 meters



...rounding off, there...
...there's a discrepancy:
440 x 1.909 = 230.4871...
440 / 230.56 = 1.90839...
of almost 7.3 centimeters
230.56  230.4871 = .0729
seventythree millimeters
over just a quarter km...

...or inches to meters...
it's off (about the same)
in the other direction...

...i couldn't find any...
meter measurements online
(for the main 3 pyramids)
at that level of accuracy
to verify my calculations
...so that's close enough
for the non professionals




so, i'll just use these numbers
...(and be happy i have any)...



..... model
G1a .. 95
G1b .. 94
G1c .. 88
G1 ... 440
G2 ... 411
G3 ... 201.5
G3a .. 84
G3b .. 60
G3c .. 60




if anything turns out off a little bit
i can always come back here n check...

now for heights
...in cubits...



..... meters . cubits
G1a .. 30.25 .. 57.756563245823389021479713603819
G1b .. 30.00 .. 57.279236276849642004773269689737
G1c .. 29.62 .. 56.553699284009546539379474940334
G3a .. 28.40 .. 54.224343675417661097852028639618
G3b .. .....
G3c .. .....



..... base . height
G1a .. 95 ... 57.76
G1b .. 94 ... 57.28
G1c .. 88 ... 56.55
G1 ... 440 ... 280
G2 ... 411 ... 274.5
G3 ... 201.5 . 125
G3a .. 84 ... 54.22
G3b .. 60 ... 
G3c .. 60 ... 


