Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - sinθ)
R (1 - sinθ)
R (1 - cosθ)
(R - r₁) (1 - cosθ)

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Theory of Machine
The Klein's method of construction for reciprocating engine mechanism

Utilizes a quadrilateral similar to the diagram of mechanism for reciprocating engine
Is based on acceleration diagram
Enables determination of Cariole’s component
Is a simplified form of instantaneous center method

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