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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING CISSOIDS OF DE LONGCHAMPS

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Link 1, turning about fixed axis 0, is connected by sliding pairs to sliders 2 and 3. Slider 4 moves along fixed guides t-t whose axis makes the angle a with axis 0x. Slider 4 is connected by turning pair C to link 5 and by turning pair B to slider 3. Link 5 moves in X-shaped slider 2 whose guides make the angle α with each other. When link 1 turns about axis 0, point D of slider 2 describes cissoid of De Longchamps s-s with the equation ρD=0͞D=2r(sin²( ϕ)/sin(α- ϕ)) where ϕ ist he polar angle between vector ρD and polar axis 0x. The cissoid of De Longchamps is the cissoid of circle p-p, of radius r and passing through point 0, and of straight line q-q, tangent to circle p-p at point G.
$1196$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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