It would be great if you take the geometry from Higgin's image of what he refers to as the "ancient geometrical formula". I know we've been over this before in previous threads, but there was no conclusion to what we were discussing, and I think you gave up on it.
Its simple . . . a perfect circle inside a perfect square and another square arranged as you see it in Higgin's first image.
See what you can derive from it.
“The crowning secret of the ancients, as well as of our own time, is that the study of the structural proportions of our universe as evinced in lines of force and direction, cyclic time periods, celestial areas and visible parts, reveals the fact that it is of definite form, perfectly balanced proportion and just such a synthesis of the principles of pure geometry as to show that the features exhibited are from the same causative source as that which geometrizes the snowflake, the crystal and the blossom. Hence the expressions used in the Masonry of the Grand Architect and the Great Geometrician of the Universe."
Source: Ancient Freemasonry, Frank C. Higgins (First published in 1919) p. 12.