Figure 3. Finding the royal cubit, half a remen, and pi 22/7 (all measures in inches) Developments 1. A reverse image of 3.4.5 triangle ABC is created - it forms triangle JCB. 2. BJ is extended to U. Outcomes 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 Figure 2. 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.