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If (1+xsin^2alpha)sinbeta=(1+x)sinalpha, then (1+x)int_0^alpha(dphi)/(sqrt(1-x^2sin^2phi))=int_0^beta(dphi)/(sqrt(1-(4x)/((1+x)^2)sin^2phi)).

The geodesics on a general cylinder generated by lines parallel to a line l with which the tangent makes a constant angle.

An algorithm for computing an Egyptian fraction.

dtau^2=-eta_(alphabeta)dxi^alphadxi^beta, or (d^2xi^alpha)/(dtau^2)=0.

A type of flow technically defined in terms of the tangent bundle of a manifold.

A one-dimensional geometric object such as a pencil or line segment range.

A sphere which acts as a model of a spherical (or ellipsoidal) celestial body, especially the Earth, and on which the outlines of continents, oceans, etc. are drawn.

A vector specifying how layers are stacked in a laminated lattice.

A Horn clause without a positive literal.

A problem in the theory of algebraic invariants that was solved by Hilbert using an existence proof.