Engineering Surveying, Sixth Edition

In the geometric design of motorways, railways, pipelines, etc., the design and setting out of curves is an important aspect of the engineer's work.
The initial design is usually based on a series of straight sections whose positions are defined largely by the topography of the area. The intersections of pairs of straights are then connected by horizontal curves (see Section 10.2). In the vertical design, intersecting gradients are connected by curves in the vertical plane.
Curves can be listed under three main headings, as follows:
Circular curves of constant radius.
Transition curves of varying radius (spirals).
Vertical curves of parabolic form.