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49 FIG. 50 For this, we execute a constant angle Θ in the form of the rigid angle FOG (Fig. 49) with its axis of rotation at the point 0. At the points P and Q we fix two slides 4 and 6, which slide along the arms of the crank lever 7. The link 4, which forms kinematic pairs with links 3 and 5 (Fig. 46), is disconnected, and links 3 and 5 made in the form of the connecting rods 3 and 5 (Fig. 49), having respectively AP = p and BQ = q. This inversor (Fig. 49) performs the transformation of type (43), and satisfies conditions (40) and (44).
In this mechanism the lengths of the links satisfy the condition PA = AB = BC = CQ = AO = OC. The points P, 0, and Q lie on a single straight line, and the radius-vectors OP and OQ are equal. If the point P describes the circle j ? - p , of radius O'P, then the point Q will describe thé circle q-q of radius 0"Q, where 0"Q = O'P. In addition the cranks 6 and 7 will always be parallel. The mechanism transmits rotation between the shafts 0' and 0" with a constant transmission ratio of i, given by i = ω 6 /ω 7 = = — 1, since the rotation of cranks 6 and 7 takes place in opposite directions.
68 FIG. 70 I n Fig. 69 is shown another inversor, which comprises a right-angled lever 3, turning about the point 0. One arm of this lever slides in guide 6, which forms a rotating pair with guide 7, in which link 2 slides. At point A, links 3 and 4 form a rotating pair. Links 4 and 2 form sliding pairs with link 5, which consists of a cruciform guide with mutually perpendicular axes. From the scheme of Fig. 69, it immediately follows t h a t 0 p . O Q = a 2 = const. (56) Thus, the chain shown in Fig.