STOS Mathematics first created 10/05/06 - last modified 10/05/06 Page Author: Ty Harness

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Unfinished Work

It is known from the Moscow Papyrus the Egyptians understood the calculations for finding the volume of a pyramid and frustum of a square pyramid [1].

"...Square the numbers two and four and to add the sum of the these squares the product of two and four .... then the result is multiplied by a third of six" resulting in an answer of 56 units cubed.

Figure XX - "See, it is 56; you have found it correctly" [1]

STOS calculates the volume by creating an extra vertex and connecting each face to form a polyhedron and then summing up all the polyhedrons to calculate the total volume. It's a general approach adopted by all the Ty Harness Sheet Metal applications and is explained in greater depth on the Square to Round page : stormaths.htm

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ASCII to MathML used in this page: ASCIItoMathML homepage

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References:

(1) Boyer, C.B (revised by Merzbach), A History of Mathematics, John Wiley & Sons, 2nd Ed., New York: (1991), 19-20.