Numbers, proportions and the harmony of spheres
Harmony of the spheres
Papyrus Berlin: "You are told the area of a square of 100 square cubits is equal to that of two smaller squares, the side of one square is 1/2 + 1/4 of the other. What are the sides of the two unknown squares?"
In modern terms we would express this as x² + y² = 100 and
A modern solution in this form might be ((3/4)y)² + y² =
However, most translators believe the egyptians viewed this problem
the way we do the simultaneous equations
What are x and y?
x² = 1/2 + 1/16. Thus, x² + y² = 1 + 1/2 + 1/16. Now