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Homothetic center
In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation/contraction of one another. If the center is ''external'', the two figures are directly similar to one another; their angles have the same rotational sense. If the center is ''internal'', the two figures are scaled mirror images of one another; their angles have the opposite sense.
==General polygons==
If two geometric figures possess a homothetic center, they are similar to one another; in other words, they must have the same angles at corresponding points and differ only in their relative scaling. The homothetic center and the two figures need not lie in the same plane; they can be related by a projection from the homothetic center.
Homothetic centers may be external or internal. If the center is internal, the two geometric figures are scaled mirror images of one another; in technical language, they have opposite chirality. A clockwise angle in one figure would correspond to a counterclockwise angle in the other. Conversely, if the center is external, the two figures are directly similar to one another; their angles have the same sense.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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