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LINK-GEAR HYPERBOLOGRAPH MECHANISM

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Link 1, turning about fixed axis A, is connected by sliding pairs to sliders 3 and 5. Slider 3 is connected by turning pair B to slider 4 which moves along fixed guides q-q. The axis of guides q-q makes the angle β with axis Ax. Cross-piece Bb of slider 4 moves in X-shaped slider 2 which has guides wi th axes making the angle 90°-γ with each other. Slider 2 moves along fixed guides t-t whose axis makes the angle α with axis Ax. Link 6 is connected by turning pair C to slider 5 and moves in slider 2. When link 1 turns about axis A, point C describes hyperbola p-p with the equation ex²+fxy+2gx+2hy=0 where e =(tan(α)-tan(γ))tan(β), f=-(tan(α)-tan(γ)), g=(m*tan(γ)-n*tan(α))/2, h=-(m*tan(β)-n*tan(α))/2 m and n = constant dimensions of the mechanism.
$1077$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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