Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1897)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & Sons · leaf 22
Simpsons Rule (Fig. 15).—If ABCDEFG is a smooth curve and ordi nates bedrawn from its extremitiesA and G to the axis X, anapproximation to the valueof th-e area so enclosed,A..D ..G..N..0 ..A,between the curve and theaxis X, is obtained bySirapso7i^s Hule., now to bedemonstrated. Divide the base ON… … 14 NOTES AND EXAMPLES IN MECHANICS. Consider the strips of area so formed in consecutive pairs;for example, CDEE C is the second pair in this figure (count-ing from left to right). Conceive a parabola, with its axis vertical,to be passed through the points 6^, D^ and E. It will coincidewith the…
