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If a minimal surface is given by the equation z=f(x,y) and f has continuous first and second partial derivatives for all real x and y, then f is a plane.

In the plane, a closed curve is a curve with no endpoints and which completely encloses an area.

An ellipsoidal section is the curve formed by the intersection of a plane with an ellipsoid. An ellipsoidal section is always an ellipse.

A modular form which is not allowed to have poles in the upper half-plane H or at iinfty.

The problem of deciding if four colors are sufficient to color any map on a plane or sphere.

The intercept form of a line in the Cartesian plane with x-intercept a and y-intercept b is given by x/a+y/b=1.

Given a convex plane region with area A and perimeter p, then |N-A|<p, where N is the number of enclosed lattice points.

An algorithm which isolates roots in the complex plane by generalizing one-dimensional bracketing.

One of the four regions of the plane defined by the four possible combinations of signs (+,+), (+,-), (-,+), and (-,-) for (x,y).

An object is reflexible if it is superposable with its image in a plane mirror. Also called amphichiral.