Figure 3. Finding the royal cubit, half a remen, and pi 22/7
(all measures in inches)
1. A reverse image of 3.4.5 triangle ABC is created - it forms triangle JCB.
1. BU is 7 7/24 (7.291666 ...) inches, half a remen, that is, ten remen digits. BU is 1/1000th
of what later became known as the Greek/Roman stade (607 23/36 British imperial feet
or 600 Greek feet or 625 Roman feet. A remen digit measures 35/48 (0.7291666 ...) inch.
2. LN is 6.875 inches, one-third of an ancient Egyptian royal cubit of 20.625 inches. KT is
also 6.875 inches. The 3.4.5 proportion triangle KTF has a perimeter of 20.625 inches,
the royal cubit. Note that KF is on the same line as the remen described in
3. KL is 1.09375 inches and KM 2.1875 inches. LN is 6.875 inches and, as stated, one-third
of a royal cubit. The quotient of LN 6.875 divided by KM 2.1875 is 22/7. This is
arguably the most remarkable manifestation of the proportion ever found in a geometric
configuration considering its relationship to the measures being unfolded here. Note that
the intersection of BJ with AC establishes L and thereby KM and LN.