Theory of Machine
The Ackerman steering gear mechanism is preferred to the Davis steering gear mechanism, because

The Ackerman steering gear consists of turning pairs
Both (A) and (B)
The Ackerman steering gear is most economical
Whole of the mechanism in the Ackerman steering gear is on the back of the front wheels

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Theory of Machine
The contact ratio is given by

(Length of the path of approach)/(Circular pitch)
(Length of path of recess)/(Circular pitch)
(Length of the arc of approach)/cosφ
(Length of the arc of contact)/(Circular pitch)

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