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GERSHGORIN LEVER-GEAR MECHANISM FOR TRACING ELLIPSES

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Gear 1 rotates about fixed axis F and meshes with gear 2 which has the same pitch diameter and rotates about fixed axis G. Gears 1 and 2 are connected by turning pairs A and B to links 3 and 4 which are connected together by turning pair E. Links 3 and 4 are connected by turning pairs C and D to links 5 and 6 which are connected together by turning pair K. The lengths of the links comply with the conditions: A͞C=C͞E =E͞D=D͞B=C͞K=D͞K. Lines FA and GB make equal angles ϕ with axis Ox. When gear 1 rotates, point K describes ellipse q with the equation (x²/a²)-(y²/b²)=1 where a=(F͞A+G͞B)/2 and b=(F͞A-G͞B)/2.
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Documents: Gear mechanisms  [Streambook]
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