About: Homothetic center

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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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rdfs:label	Homothetic center Centro de homotecia Центр подобия
rdfs:comment	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 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. 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. 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.
rdfs:seeAlso	Monge's theorem
foaf:depiction
foaf:isPrimaryTopicOf	wikipedia-en:Homothetic_center
thumbnail	wiki-commons:Special:FilePath/Homothetic_transformation.svg?width=300
dct:subject	Circles Geometric centers Euclidean geometry
Wikipage page ID	15685517(xsd:integer)
Wikipage revision ID	973649666(xsd:integer)
Link from a Wikipage to another Wikipage	Problem of Apollonius Quadrilateral Intercept theorem Circles Analytic geometry Geometry Radius Weighted arithmetic mean Geometric centers Isosceles triangle Locus (mathematics) Tangent lines to circles Angle Synthetic geometry 3D projection Intersecting chords theorem Euclidean geometry Cyclic quadrilateral Similarity (geometry) Plane (geometry) Homothetic transformation Scaling (geometry) Joseph Diez Gergonne British Society for the History of Mathematics Radical axis General position Inscribed angle Chirality (mathematics) Power center (geometry) Power of a point Projective plane Tangent
Link from a Wikipage to an external page	http://whistleralley.com/tangents/bshmkunkel.pdf
sameAs	Homothetic center Homothetic center Homothetic center Homothetic center Homothetic center Homothetic center Homothetic center Homothetic center
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Clear dbt:Refbegin dbt:Refend dbt:Reflist dbt:See_also dbt:Use_American_English
has abstract	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 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. 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. 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.
prov:wasDerivedFrom	wikipedia-en:Homothetic_center?oldid=973649666&ns=0
page length (characters) of wiki page	20571(xsd:integer)
is foaf:primaryTopic of	wikipedia-en:Homothetic_center
is Link from a Wikipage to another Wikipage of	Problem of Apollonius Center of similarity Center of similitude Homothetic Altitude (triangle) Point reflection Euler line

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