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Lelgemann's description of the relationship of the remen and cubit is confusing. He seems to derive the cubit from the remen, being 1c = √2 x remen, without first defining the length of the remen. In my understanding, the cubit comes first, being derived from the human body. The remen is the half-diagonal of the 1c x 1c square, and approximates to 5 palms, but is not exactly 5 palms.
For larger squares, as for example the 100c x 100c square, the remen is close enough to 70c 5p (495 palms), giving a 1/√2 value of 99/140, while the double remen gives a √2 value of 99/70.
It is these two values that are used throughout pyramid construction to ensure the squareness of the bases. This is particularly evidenced by the base of Userkaf's pyramid, which is 140 cubits, and whose half-diagonals and diagonals are whole numbers of cubits, being 99 cubits and 198 cubits respectively.