Pyramids

In this section we find a generalized formula for relating the sides of triangles.

Example:

Problem 57: If the seked of a pyramid is 5 palms 1 finger per cubit and the side of its base 140 cubits, what is its altitude?

Divide 1 cubit by the seked doubled, which is 10 1/2. Multiply 10 1/2 so as to get 7, for this is a cubit: 7 is 2/3 of 10 1/2. Operate on 140, which is the side of the base: 2/3 of 140 is 93 1/3. This is the altitude.

changed November 18, 2008