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Elements of natural philosophy (Volume 1) (1850)

Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 57

An illustration from Elements of natural philosophy (Volume 1), 1850, leaf 57
; number theordinates in the or-der of the naturalnumbers; add to-gether the extremeordinates, increasethis sum by fourtimes that of the even ordinates and twice that of the uneven ordinates, and multiplyby one third of the distance between any two consecutiveordinates. Demonstration: To compute… … MECHANICS OF SOLIDS. 53 the rule. Fis:. 21. and to regard each of the elementary figures, «3 e2 r2 rh e2 e2 r3 r2) &cv as trapezoids ; and it is obvioilS that the Demonstration of error of this supposition will be less,in proportion as the number of trape-zoids between given limits is…

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