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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING TRISECTRICES OF MACLAURIN

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Link 1 turns about fixed axis 0 and is connected by a sliding pair to cross-shaped slider 5 which has guides perpendicular to each other. Link 2 turns about fixed axis A and is connected by a sliding pair to slider 3. Cross-piece Bb of slider 3 moves in cross-shaped slider 5. Slider 3 is connected by turning pair B to slider 4 which moves along fixed guides q-q whose axis is perpendicular to axis 0x. When link 1 turns about axis 0, point D of slider 5 describes trisectrix of Maclaurin s-s with the equation ρD=0͞D=-a(1-4cos²(ϕ))/(cos(ϕ)) or y=x*sqrt((3a-x)/(x+a)) where ϕ Is the polar angle between vector ρD and polar axis 0x.
$1188$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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