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NEUBERG-POLINOVSKY LINK-GEAR MECHANISM FOR TRACING FOURTH-ORDER CURVES

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Slider 1 moves along fixed guides p-p whose axis coincides with axis 0y. Link 3 has the form of a bent lever with angle ACf equal to 90° and is connected by turning pair A to slider 1. Arm Cf of link 3 moves in slider 2 which turns about fixed axis B. When slider 1 moves along guides p-p, point D of link 3 describes a fourth-order algebraic curve with the equation (x²-ax+cd)²+(yx+bc)²=(ab+dy-bx)² where a, b, c and d are constant dimensions of the mechanism. When a=A͞C, point D describes an algebraic curve of the third order.
$1226$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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