ABSTRACT
Pythagoras’ theorum A2 = B2 + C2 where A is the hypotenuse of a right-angled triangle and B and C are the two adjacent sides
Simpson’s Rule Volume = x/3 [(y1 + yn) + 2(y3 + y5) + 4(y2 + y4)] The volume to be measured must be represented by an odd number of cross-sections (y1−yn) taken at fixed intervals (x), the sum of the areas at even numbered intermediate crosssections (y2, y4, etc.) is multiplied by 4 and the sum of the areas at odd numbered intermediate cross-sections (y3, y5, etc.) is multiplied by 2, and the end cross-sections (y1 and yn) taken once only. The resulting weighted average of these areas is multiplied by 1/3 of the distance between the cross-sections (x) to give the total volume.
