Railway Engineering
Switch angle is the angle between

the gauge face of the stock rail and tongue rail
the outer face of the stock rail and the gauge face of the tongue rail
the gauge face of the stock rail and outer face of the tongue rail
the outer face of the stock rail and tongue rail

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Railway Engineering
A triangle is used for

Transferring wagons to and from parallel tracks without shunting
Changing the direction of engine
Separating all the sidings and shunting lines from main lines
Preventing the vehicles from running off the track

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