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A field of extremals is a plane region which is simply connected by a one-parameter family of extremals. The concept was invented by Weierstrass.

The point of coincidence of P and P^' in Fagnano's theorem.

The three diagonal points of a complete quadrilateral are never collinear.

A fiber space, depending on context, means either a fiber bundle or a fibration.

The geometry of Finsler space.

A topological space in which every point has a countable neighborhood system base for its neighborhood system.

When referring to a planar object, "fixed" means that the object is regarded as fixed in the plane so that it may not be picked up and flipped. As a result, mirror images are ...

A fixed point which has one zero eigenvector.

A flow line for a map on a vector field F is a path sigma(t) such that sigma^'(t)=F(sigma(t)).

There are seven frieze groups, which can be written in orbifold notation as *22infty, 2*infty, 22infty, *inftyinfty, infty*, inftyx, inftyinfty.