Slider 1 turns about fixed axis 0. Link 3, having the form of a cross-shaped lever, is connected by a sliding pair to slider 1 and by turning pair A to slider 2. Slider 2 moves along fixed guides p-p whose axis coincides with axis 0x. When slider 1 turns about axis 0, point D of link 3 describes Kappa curve q-q with the equation ρD=0͞D=a/tan(ϕ) or a²x²=y²(x²+y²). Point B of link 3 describes conchoid q' -q' of the Kappa curve; the equation of the conchoid is ρB=0͞B=(a/tan(ϕ))±b or (ax'+by')²=y'²(x'²+y'²). Point C of link 3 describes orthoconchoid q"-q" of the Kappa curve; the equation of the orthoconchoid is ρC=0͞C=sqrt((a²/tan²(ϕ))+d²) or x"²[(a+d)²-y"²]=[y"²-d(a+d)]² where a, b and d = constant dimensions of the mechanism; ϕ = polar angle between vector ρD and polar axis 0x.
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