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A parameterization of a surface x(u,v) in u and v is regular if the tangent vectors (partialx)/(partialu) and (partialx)/(partialv) are always linearly independent.

The locus of lines meeting three given skew lines. ("Regulus" is also the name of the brightest star in the constellation Leo.)

An (n-2)-dimensional face of an n-dimensional polytope.

Three sets of three lines such that each line is incident with two from both other sets.

Two curves are tangent externally at a point P if they lie on opposite sides of their common tangent at P

Two curves are tangent internally at a point P if they lie on the same side of their common tangent at P

The polygon formed by the lines tangent to the circumcircle of a polygon. The tangential polygon of an n-gon is itself an n-gon.

A 40-sided polygon.

A 14-sided polygon, sometimes called a tetrakaidecagon.

A transversal line is a line which intersects each of a given set of other lines. It is also called a semisecant.