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LINK-GEAR ELLIPSOGRAPH

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Link 1, rotating about fixed axis 0, Is connected by sliding pairs to sliders 6 and 7. Link 2 is connected by turning pair D to slider 6 and by turning pairs B and C to sliders 3 and 4 which move along two guides m-m and t-t perpendicular to each other. Slider 5 is connected by turning pair E to slider 7 and slides along bar d of slider 4. When link 1 rotates, point D describes ellipse p-p, and point E describes ellipse q-q. The equation of ellipse p-p is (x₁/a₁²)+( y₁/b₁²)=1 where a₁=B͞D and b₁=D͞C. The equation of ellipse q-q is (x₂/a₂²)+( y₂/b₂²)=1 where a₂=a₁+b₁ and b₂=(b₁/a₁)*(a₁+b₁). Therefore, the parameters of ellipses p-p and q-q are related by the condition Therefore, the a l parameters of ellipses p-p and q-q are related by the conditionTherefore, the parameters of ellipses p-p and q-q are related by the condition a₁/a₂=b₁/b₂
$1055$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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