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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.

The slope-intercept form of a line in the Cartesian plane is given by y=mx+b, where b is the y-intercept and m is the slope.

A square grid is a grid formed by tiling the plane regularly with squares.

A parallel of a surface of revolution is the intersection of the surface with a plane orthogonal to the axis of revolution.

A cylindrical wedge, also called a cylindrical hoof or cylindrical ungula, is a wedge cut from a cylinder by slicing with a plane that intersects the base of the cylinder. ...

The conic sections are the nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone. For a plane perpendicular to the axis of the cone, ...

Half-angle formulas and formulas expressing trigonometric functions of an angle x/2 in terms of functions of an angle x. For real x, sin(1/2x) = ...