Page:The Kinematics of Machinery.djvu/18

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§ 20.	Simultaneous Restraint of Sliding and Turning	112
21.	The Higher Pairs of Elements	115
22.	Higher Pairs.—Duangle and Triangle	116
23.	Point-paths of the Duangle relatively to the Equilateral Triangle	121
24.	Point-paths of the Triangle relatively to the Duangle	125
25.	Figures of Constant Breadth	129
26.	Higher Pairs of Elements.—Equilateral Curve-triangle and Rhombus	131
27.	Paths of Points of the Curve-triangle relatively to the Square	133
28.	Paths described by Points of the Square relatively to the Curve-triangle	139
29.	Higher Pairs of Elements:—other Curved Figures of Constant Breadth	139
30.	General Determination of Profiles of Elements for a given Motion	146
31.	First Method.—Determination of the Profile of one Element, that of the other being arbitrarily assumed	148
32.	Second Method.—Auxiliary Centroids	152
33.	Third Method.—Profiles described by Secondary Centroids	155
34.	Fourth Method.—Point-paths of Elements used as Profiles	156
35.	Fifth Method.—Parallels or Equidistants to the Roulettes as Profiles	157
36.	Sixth Method.—Approximations to Curved Profiles by Circular Arcs. Willis's Method	160
37.	Seventh Method. The Centroids themselves as Profiles of Elements	163
38.	Generalisation of the foregoing Methods	164
Chapter IV. Incomplete Pairs of Elements		169
§ 39.	Closure of Pairs of Elements by Sensible Forces	169
40.	Force-Closure in the Rolling of Axoids	171
41.	Flectional Kinematic Elements	173
42.	Springs	176
43.	Closure of a Pair of Elements by a Kinematic Chain	178
44.	Complete Kinematic Closure of the Flectional Elements	183
Chapter V. Incomplete Kinematic Chains		186
§ 45.	Dead Points in Mechanism,—their Passage by Means of Sensible Forces	186
46.	Passage of the Dead Points by Chain-Closure	188
47.	Closure of Kinematic Chains by Pairs of Elements	191