The lengths of the links comply with the condition: A͞B=B͞C. Link 1 rotates about fixed axis A and is connected by turning pair B to link 2. Link 2 is connected by turning pairs D and C to link 4 and to slider 3 which moves along fixed guides p-p. Link 4 is connected by turning pair E to slider 5 which moves along guides p-p. Point D describes an ellipse with its centre at point A and with the equation (x²/(m-n)²)+(y²/(m+n)²)=1 where m=A͞B and n=B͞D. Variable vector ρ=A͞D can be regarded as the crank of slider-crank linkage ADE with the variable length A͞D of the conventional crank equal to A͞D=(m²-n²)*sqrt(1/(m²+n²+2mn*cos(2φ))) where φ is the angle between vector ρ and axis Ax.
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