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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING POLYZOMAL CURVES OF BERNOULLI

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The lengths of the links comply with the conditions: A͞D=a*sqrt(2) and A͞B=a. Slider 1 moves along fixed guides t-t whose axis coincides with axis 0y. Slider 1 is connected by turning pair A to links 3 and 5. Link 3 is connected by turning pair B to slider 4 which moves along fixed guides p-p whose axis coincides with axis 0x. Link 5 is connected by turning pair D to slider 2 which moves along cross-piece Bb of slider 4. The axis of cross-piece Bb is parallel to axis 0y. When slider 1 moves along guides t-t, point D of slider 2 describes the upper branch q-q of a polyzomal curve of Bernoulli with the equation y=sqrt(2a²-x²)+sqrt(a²-x²). To trace the lower branch q' -q' of this curve, the links of the mechanism are reassembled symmetric to the axis 0x.
$1170$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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