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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING CISSOIDS OF DIOCLES AND THEIR CONCHOIDS

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The lengths of the links comply with the condition: D͞E=D͞F=b. Link 1, turning about fixed axis A, is connected by a sliding pair to slider 3. Cross-piece Bd of slider 3 moves in cross-shaped slider 2 which has guides perpendicular to each other. Slider 4 moves along fixed guides t-t whose axis is perpendicular to axis Ax. Slider 4 is connected by turning pair B to slider 3. Slider 2 moves along axis Of of link 5 which turns about fixed axis 0. When link 1 turns about axis A, point D of slider 2 describes cissoid of Diocles s-s with the equation ρD=0͞D=a*sin²( ϕ)/cos(ϕ) Points E and F describe conchoid s' -s' of cissoid s-s. The equation of conchoid s' -s' is ρF=ρD±b where ϕ is the polar angle between vector ρD and the polar axis Ox. The branch of the conchoid described by point F is shown.
$1127$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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