Theory of Machine
The condition for correct steering of a Davis steering gear is (where α = Angle of inclination of the links to the vertical)

cotα = c/2b
cosα = c/b
tanα = c/2b
sinα = b/c

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Theory of Machine
Oldham's coupling is the

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

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Theory of Machine
In a band and block brake, the ratio of tensions on tight side and slack side of the band is (where μ = Coefficient of friction between the blocks and the drum, θ = Semi-angle of each block subtending at the center of drum, and n = Number of blocks)

T₁/T₂ = [(1 + μ tanθ)/(1 - μ tanθ)]n
T₁/T₂ = μ. θ. n
T₁/T₂ = (μ θ)n
T₁/T₂ = [(1 - μ tanθ)/(1 + μ tanθ)]n

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