A geometric curve is a mathematical object that is defined by a set of points in a two-dimensional space. The five crossword solutions for the term geometric curve are evolute (7 letters), ELLIPSE (7 letters), cissoid (7 letters), ARC (3 letters), PARABOLA (8 letters), and TOROID (6 letters). An evolute is a curve that is generated by the locus of the centers of curvature of another curve. An ELLIPSE is a closed curve that is formed by the intersection of a cone and a plane. A cissoid is a type of curve that is generated by the intersection of two cylinders. An ARC is a part of a circle or other curve. A PARABOLA is a type of curve that is formed by the intersection of a cone and a plane. Finally, a TOROID is a type of surface that is generated by revolving a circle around an axis that does not intersect the circle.