The lengths of the links comply wi th the conditions: A͞C=G͞D, C͞D=A͞G=2c=2sqrt(a²+b²), B͞E=B͞F=d and A͞0=c-a, where a and b are the transverse and conjugate semiaxes of the hyperbola and c is the distance between its foci. Figure ACDG is a crossed-crank linkage. Link 1, turning about fixed axis A, is connected by turning pair C to link 6 and by a sliding pair to slider 7. Link 6 is connected by turning pair D to link 5 which turns about fixed axis G. Link 5 is connected by a sliding pair to slider 4 which, in turn, is connected by turning pair B to slider 7. Link 2 is connected by turning pair B to sliders 4 and 7, and by a sliding pair to slider 3 which turns about fixed axis 0. When link 1 turns about axis A, point B describes branch q-q of a hyperbola, and points E and F describe the branches of conchoid p-p of hyperbola q-q. The equation of the conchoid is (y²+x²)(b²x²-a²y²-2ab²x)=d²(b²x²-a²y²).
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