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While composing the ‘Geometry of the Great Pyramid’ for the Graham Hancock Forum (1), I found myself (unexpectedly) growing more and more incredulous that ancient Egyptians could have done maths like that. How could they have appreciated the amazing properties of the Great Pyramid’s unique pi/phi slope angle without that?
[NB, you might wish to read the earlier math section to refresh your memory] Instead, they had gradients for measuring slope, i.e. I found that slopes of the descending passages were related to those of the first and second pyramids as precise angle bisections, within an arcminute – which could surely not have been done using ancient Egyptian mathematics.
(5) The distance from the top of the pyramid to the base of the King’s Chamber, in relation to pyramid height, exactly expresses the root-two value.
Egyptian units of measure contain this concept, insofar as they convert from area to linear measure, (from remens to Royal cubits) but as far as anyone knows they did not have a precise value as here used.
(4) But Egyptian maths did not ‘square the circle’ in this manner, by equating the circumference of a circle with the perimeter of a square – only the Greeks did that, aeons later.