The lengths of the links comply with the conditions: D͞E=G͞F, D͞G=E͞F, A͞C=0͞C, 0͞D:0͞E=D͞P:E͞B and 0͞Px0͞B=(D͞PxE͞B)-(0͞Dx0͞E)=const. Figure DEFG is a crossed-crank linkage. Slider 1 turns about fixed axis 0. Link 3, moving in slider 1, is connected by turning pairs P, A and B to links 2, 4 and 6. Link 2 is connected by turning pairs D and G to links 5 and 7 . Link 6 is connected by turning pair F to link 7 and by turning pair E to link 5, which turns about fixed axis 0. When link 4 turns about fixed axis C, point P describes a conic section with the equation ρ=p/(1+e*cos(ϕ)) where ρ=0͞P, p=((D͞PxE͞B)-(0͞Dx0͞E))/A͞B, e=2A͞C/A͞B, ϕ = polar angle between vector p and the polar axis Ox. Point P describes an ellipse when e<1, a parabola when e=1 and a hyperbola when e>1.
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