Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1903)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & sons; [etc., etc.] · leaf 22
psons Rule (Fig. 15).—If ABCDEFG is a smooth curve and ordinates bedrawn from its extremitiesA and G to the axis X, anapproximation to the valueof the area so enclosed,A..D..G..N..G ..A,between the curve and theN axis X, is obtained by.>j gi^ajjson^s Rule^ now to bedemonstrated. Divide the base… … Fig. 15. 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…