Geometric curves are mathematical shapes that are used to describe the physical world. Arcs, PARABOLAS, and conics are all examples of geometric curves. An arc is a curved line that forms a part of the circumference of a circle or other shape. A parabola is a U-shaped curve that is symmetrical about its axis. Conics are curves that are generated by the intersection of a plane and a cone. All three of these geometric curves are used in many different fields, from engineering to art.