TY - JOUR AU - Bowman, F. AB - By F. BOWMAN. [Received 26 July, I960.—Read 16 November, I960.] 1. The purpose of this note is to show that symmetry oan be brought into the algebra of the plane four-bar linkage by considering together the three linkages that can be formed with four given bars. Let a, b, c, d be the lengths of four bars, and suppose (1) a > 6 > c > d. The four bars oan be formed into a plane linkage by joining their ends, provided that the sum of the lengths of any three bars exceeds the length of the fourth bar, i.e. provided (2) b+c+d>a. d 136 F. BOWMAN [NOV. 16, If this condition is satisfied, three distinct linkages can be formed. These are indicated in Figs. 1, 2, 3, in which the bars a, 6, c are in turn placed opposite the shortest bar d, and in each case the letters a, b,c follow one another in the same cyclic order. 2. The configurations of the three linkages can be adjusted so that they can be combined in one mechanism, as shown in Fig. 4, and the three linkages driven simultaneously from one bar A D acting as a crank. TI - The Plane Four‐Bar Linkage JF - Proceedings of the London Mathematical Society DO - 10.1112/plms/s2-54.2.135 DA - 1952-01-01 UR - https://www.deepdyve.com/lp/wiley/the-plane-four-bar-linkage-IQegKbDByB SP - 135 EP - 146 VL - s2-54 IS - 1 DP - DeepDyve ER -