First of all I just want to check my assertion that
(sr360/sr88) x 28 digits = 56.63 digits so I will work through it here
The multiplication by 28 digits is necessary to convert the cotangent to a horizontal displacement.
The rise is 1 royal cubit and the run is (sr360/sr88) royal cubits
the square root of 360 = 18.974 to 3 decimal places
the square root of 88 = 9.381 to 3 decimal places
18.974/9.381 = 2.0226 royal cubits to 4 decimal places
2.0226 x 28 digits / royal cubit = 56.6328 = 56.63 digits to 2 decimal places
or more simply square root of 360/88 = square root of 4.090909... = square root of 45/11
= 2.0226 to 4 decimal places x 28 = 56.63 digits
I suspect that AE were happy to present the seked in palms or digits, but you need to divide by 4 if you want the seked expressed in palms, as found in RMP.
The square of the cotangent to square the circle is 45/11 = 4 and 1/11
The cotangent is a dimensionless ratio, but the right angled triangle is:
horizontal base = one side of a square with an area of 4 and 1/11 square royal cubits
short vertical side = 1 royal cubit as the side of a square with an area of 1 square royal cubit
hpotenuse = one side of a square with an area of 5 and 1/11 square royal cubits
Are we in agreement?
Mark