Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of an open belt drive. The length of the belt is

π (r₁ + r₂) + (r₁ + r₂)²/x + 2x
π (r₁ - r₂) + (r₁ + r₂)²/x + 2x
π (r₁ + r₂) + (r₁ - r₂)²/x + 2x
π (r₁ - r₂) + (r₁ - r₂)²/x + 2x

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Theory of Machine
Oldham's coupling is the

Third inversion of double slider crank chain
Second inversion of single slider crank chain
Third inversion of slider crank chain
Second inversion of double slider crank chain

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Theory of Machine
In a single slider crank chain

One is a turning pair and three are sliding pairs
Two are turning pairs and two are sliding pairs
Three are turning pairs and one is a sliding pair
Each of the four pairs is a turning pair

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