Search Results for ""

A set in R^d formed by translating an affine subspace or by the intersection of a set of hyperplanes.

Let the opposite sides of a convex cyclic hexagon be a, a^', b, b^', c, and c^', and let the polygon diagonals e, f, and g be so chosen that a, a^', and e have no common ...

The circles on the polygon diagonals of a complete quadrilateral as diameters are coaxal. Furthermore, the orthocenters of the four triangles of a complete quadrilateral are ...

An arrangement of points with no three collinear, or of lines with no three concurrent.

The hinge theorem says that if two triangles DeltaABC and DeltaA^'B^'C^' have congruent sides AB=A^'B^' and AC=A^'C^' and ∠A>∠A^', then BC>B^'C^'.

A similarity transformation which preserves orientation, also called a homothety.

Three concurrent homologous lines pass respectively through three fixed points on the similitude circle which are known as the invariable points.

A bistable eight-sided polyhedron discovered by Wunderlich and Schwabe (1986).

A necessary and sufficient condition for a curve to be a helix is that the ratio of curvature to torsion be constant.

The length is the longest dimension of an object.