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LINK-GEAR HYPERBOLOGRAPH

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Link 3, turning about fixed axis B, is connected by sliding pairs to sliders 2 and 4. Slider 2 is connected by turning pair F to slider 5 which moves along fixed guides l-l. Link 6, turning about fixed axis A, moves in slider 7 which is connected by turning pair F to slider 5 . Link 1, turning about fixed axis 0 , is connected by turning pair D to slider 4. Sliders 8 and 9, connected together by turning pair K, move along the axes of links 6 and 1. If q>2p and q>0, then, when sliding link 1 turns about axis 0, point K describes a portion of a hyperbola with the equation x²/(((q-p-r)²p²)/((q-2p)²))-y²/(((q-p-r)²q²)/(q-2p))=1 where p=B͞0, q=0͞A, r=0͞D.
$1067$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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