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When all the points P on one line are related by an isometry to all points P^' on another, the midpoints of the segments PP^' are either distinct and collinear or coincident.

Two graphs are homeomorphic if there is a graph isomorphism from some graph subdivision of one to some subdivision of the other.

A multivariate polynomial (i.e., a polynomial in more than one variable) with all terms having the same degree. For example, x^3+xyz+y^2z+z^3 is a homogeneous polynomial of ...

A circle-preserving transformation composed of an even number of inversions.

Related to one another by a homomorphism.

A set of statistical distributions having the same variance.

Oriented in position perpendicular to up-down, and therefore parallel to a flat surface.

The locus of a point which is derived from a fixed point Q by continuous parallel displacement.

A version of fractal dimension used in time-series analysis.

Determined the possible values of r and n for which there is an identity of the form (x_1^2+...+x_r^2)(y_1^2+...+y_r^2)=z_1^2+...+z_n^2.