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A text book of elementary mechanics, for the use of colleges and schools (1881)

Dana, Edward Salisbury, 1849-1935 · New York, J. Wiley & sons · leaf 258

An illustration from A text book of elementary mechanics, for the use of colleges and schools, 1881, leaf 258
its threesides respectively parallel to the three forces, and hence(132, Cor.) these sides are proportional to them. Again,the triangles AB C and KHL are mutually equiangularand similar, hence P: W:R = AB:BC: AC, or and = HK: HL: LK; p w = HKHL = Sm a> RW = LK -^yy = cos a. (1) (2) The result in… … Fig. 179. three forces P, R, W be represented by the three linesmeeting at A. Through B draw BC parallel to the di-rection of W, and produce R to meet BC at C. Thesides of the triangle ABC are respectively parallel to thethree forces P, P, W, and therefore (132, Cor.) are pro- 240 STATICS. [231.…

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