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An natural equation which expresses a curve in terms of its arc length s and tangential angle phi.

The first theorem of Pappus states that the surface area S of a surface of revolution generated by the revolution of a curve about an external axis is equal to the product of ...

A point, such as interior points of a disk, such that (px)(py)=[const], where p is the chord length.

The scalar |v|=ds/dt, where s is the arc length, equal to the magnitude of the velocity v.

The global clustering coefficient C of a graph G is the ratio of the number of closed trails of length 3 to the number of paths of length two in G. Let A be the adjacency ...

The term "square" can be used to mean either a square number ("x^2 is the square of x") or a geometric figure consisting of a convex quadrilateral with sides of equal length ...

A knot used to join the ends of two ropes together to form a longer length.

A fractal curve of infinite length which bounds an area twice that of the original square.

Let a spherical triangle have sides of length a, b, and c, and semiperimeter s. Then the spherical excess E is given by

A set of points capable of being enclosed in intervals whose total length is arbitrarily small.