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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 or 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.

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  • Centro de homotecia (es)
  • Homothetic center (en)
  • Центр подобия (ru)
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  • 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 or 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. (en)
  • En geometría, un centro de homotecia (también llamado centro de semejanza o centro homotético) es un punto desde el cual se pueden ver al menos dos figuras geométricamente semejantes como dilatación o contracción la una de la otra. Si el centro es «externo», las dos figuras son directamente semejantes entre sí, y por lo tanto, sus ángulos tienen el mismo sentido de rotación. Si el centro es «interno», las dos figuras son imágenes especulares escaladas entre sí, y sus ángulos tienen sentido opuesto. (es)
  • Центр подобия (или центр гомотетии) — это точка, из которой по меньшей мере две геометрически подобные фигуры можно видеть как (растяжение/сжатие) друг друга. Если центр внешний, две фигуры похожи друг на друга прямо — их углы одни и те же в смысле вращения. Если центр внутренний, две фигуры являются изменёнными в размерах отражениями друг друга — их углы противоположны. (ru)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Circles_homothetic_centers.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/External_Homothetic_center_Tangent_circles_family.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Geom_podobnost_stejnolehlest.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Homothetic_centers_of_three_circles.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Homothetic_centers_of_three_circles_lie_on_a_line.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Homothetic_transformation.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Internall_Homothetic_center_Tangent_circles_family.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Kreise_streckzentrum.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Tangent_circles_to_three_circles_radical_axis.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Two_circles_anti-homologous_points_radical_axis.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Two_circles_tangent_homothetic_center.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Two_circles_tangent_radical.svg
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