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Two vectors u and v are parallel if their cross product is zero, i.e., uxv=0.

Any two ranges {ABC...} and {A^'B^'C^'...} which are situated on the same or different lines are said to be homographic when the cross ratio of any four points on one range ...

Pick any point P on a conic section, and draw a series of right angles having this point as their vertices. Then the line segments connecting the rays of the right angles ...

The surface with three cross-caps (Francis and Collins 1993, Francis and Weeks 1999).

Line segment ranges and pencils which have equal cross ratios are said to be equicross.

A bundle or fiber bundle is trivial if it is isomorphic to the cross product of the base space and a fiber.

A conic section on which the midpoints of the sides of any complete quadrangle lie. The three diagonal points P, Q, and R also lie on this conic.

If a triangle is inscribed in a conic section, any line conjugate to one side meets the other two sides in conjugate points.

A sequence s_n^((lambda))(x)=[h(t)]^lambdas_n(x), where s_n(x) is a Sheffer sequence, h(t) is invertible, and lambda ranges over the real numbers. If s_n(x) is an associated ...

A small circle is a spheric section that does not contain a diameter of the sphere (Kern and Bland 1948, p. 87; Tietze 1965, p. 25).