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Description
The lengths of the links comply with the conditions: E͞B=B͞C=C͞D=D͞E, i.e. figure EBCD is a rhombus linkage. Links 3 and 4 turn about fixed axis C. Links 5 and 6 are connected by turning pairs E to link 7 which turns about fixed axis A. Link 8 is connected by turning pair B to links 3 and 5, and moves in slider 9 which is connected by turning pair D to links 4 and 6. Thus the axis of link 8 forms the diagonal BD of rhombus linkage EBCD. Sliders 1 and 2, connected together by turning pair K, move along the axes of links 7 and 8. When link 7 turns about axis A, point K describes a hyperbola with the equation p=l*sqrt((a²-b²)/(a²cos²(ϕ)-l²) where a=A͞0=0͞C, 2l=A͞E, p = radius vector of point K with respect to the origin of coordinates 0, located at the middle of length A͞C, ϕ = angle of rotation of radius vector p from the polar axis. For the mechanism to generate a hyperbola, it is necessary that l<a. $1066$LG,Ge$
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