This illustrated approach is interesting in that it employs a ‘graphic solution’ for a conceptual problem that may well have been the ancients’ method to represent a theoretical design objective [Khafre’s Half-Meridian Section]. Similar techniques were likely utilized in developing Khufu’s conjectured design process for the Great Pyramid.
The above Khafre image, while satisfying the ‘graphic solution’, does not stand up to the rigors of the requisite mathematics, nor the application of amplified scale. However, if applied, these conditions would have been unnecessary to satisfy the designer’s esoteric directive of Ma’at.
Below, two comparative sketches study options for attempting to place a circle, with radius ’unity’, within the confines of the 3-4-5 Meridian Section. The first replicates the attempt to place the circle Tangent at the intersection of the Square’s Diagonal [Detail “B”] and leg 5. This ’non-unity circle’ exceeds the confine of the Triangle at each leg [Detail “A”]:
The second sketch applies a ’true-unity circle’ tangent to all 3-4-5 legs of the Meridian Section Triangle; however, it no longer satisfies tangency with the Square’s Diagonal [Detail “C”]:
Click on Study Images for Enlargements
If a ‘graphic solution’ approach, or conceived application involving the ’unity circle’, existed in the mind of Khafre’s designer, we will likely never know. If so, then the ’sine qua non’ objective would have been met.
Regardless, graphic studies of this nature, if perceived in the pyramid designer’s minds, likely contributed to the discovery and understanding of Irrational and Transcendental factors (numbers) in our time.
“Quis custodiet ipsos custodes?“ - Decimus Junius Juvenalis
“Numero, Pondere et Mensura“