Bisection of a one-seventh angle is far from being a common concept, and what would it have meant to anyone confined to sekhed measure?
Against this consensus are theories that may sound airy and vague, concerning some unknown builders using methods lost forever in the mists of prehistory.
I here argue for the latter view, and suggest that two publishing events of 2007 are relevant: documentary evidence for Howard Vyse’s forgeries in the Relieving Chambers above the King’s Chamber in the Great Pyramid, published, plus a history of ancient mathematics which endorses the integrated (mathematical) ground-plan for the three Giza pyramids, by John Legon.
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.
Nick Kollerstrom is historian of science, a former honorary research fellow in Science and Technology Studies at University College, London (UCL), and a former lunar gardening correspondent for the BBC.
He is the author or co-author of a number of books, including Gardening and Planting by the Moon (an annual series beginning 1980), Newton’s Forgotten Lunar Theory (2000), Crop Circles (2002), and Terror on the Tube (2009) Strong national pressure from the Egyptian government promotes the age-old concept that three Egyptian pharaohs were responsible for constructing the pyramids at Giza.Notions of ‘scientific’ rationality argue that the pyramids ‘must’ be tombs, after all they have sarcophagi in them don’t they?Thus notions of pharaonic burial as the only ‘reasonable’ explanation combine with national sentiment for claimed ownership.The eternal splendour of the two great pyramids at Giza involves some kind of relationship between them, and that connection is concretely expressed by two angle bisections.The First pyramid’s descending passage angle is a simple 1:2 slope, a sekhed value of two, so its angle is 26° 33′, which bisects the slope angle of the 2nd pyramid.That used the 3-4-5 Pythagoras triangle, the first in human history.