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LINK-GEAR MECHANISM FOR TRACING CISSOIDS OF ELLIPSES

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The lengths of the links comply with the conditions: K͞C=C͞A, B͞N=A͞K=l, C͞G:G͞D=E͞H:D͞H, C͞F=E͞F and k =b²/a², where a and b are the semiaxes of ellipse q-q. Slider 1 moves along fixed guides t-t whose axis is parallel to axis 0y and passes through centre N of circle p-p with the radius a=l/2. Link 3 has the form of a bent lever and is connected by turning pair A to slider 1. Arm Km of link 3 moves in slider 4 which turns about fixed axis B. Cross-shaped slider 6, which has guides perpendicular to each other, moves along guides r-r whose axis coincides with axis 0x. Link 9 is connected by turning pairs H, G and D to links 2 and 7, and to slider 6. Link 7 is connected by turning pairs C and F to links 3 and 8. Links 2 and 8 are connected by turning pair E. Link 5, connected by turning pair C to link 3, moves in slider 6. When slider 1 moves along guides t-t, point C of link 3 describes cissoid s-s of circle p-p and of straight line n-n tangent to this circle at point M. Point E, the centre of the turning pair connecting links 2 and 8, describes cissoid s' -s' of ellipse q-q and of its tangent n-n. The relation of the ordinates yE and yc of curves s-s and s'-s' is always yE=kyc.
$1134$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
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