Similarity (geometry)
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.
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1/4 + 1/16 + 1/64 + 1/256 + ⋯2D computer graphics5-Con trianglesAAAAA postulateAaa theoremAccretionary wedgeAffine-regular polygonAffine groupAffine transformationAnalysis of similaritiesApollonius of PergaArbelosArea of a circleAutomedian triangleAxiality (geometry)Banach–Tarski paradoxBarometer questionBelt problemBiltmore stickBrocard pointsBuckingham π theoremCatenaryCentral configurationCherenkov radiationChessboard paradoxCircleComplex numberCongruence (geometry)Corresponding sides and corresponding anglesCross-multiplicationCube (algebra)Cubic functionCurve-shortening flowCyclic quadrilateralCycloidDesargues's theoremDiagonal scaleDilation (metric space)Distance from a point to a line
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Similarity (geometry)
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.
has abstract
2つの図形 F と G が相似（そうじ、英: similar ...... 本稿では r = 1 の場合も相似の定義に含めることとする。
@ja
Em geometria, duas figuras são ...... as pela sua posição e tamanho.
@pt
En géométrie euclidienne, une ...... muni d'une forme quadratique.
@fr
Es diu que entre dos objectes ...... mateixa i la mida és diferent.
@ca
Gelijkvormigheid is een begrip ...... ijkvormig, evenals hyperbolen.
@nl
In Euclidean geometry, two obj ...... les are to qualify as similar.
@en
In der Geometrie sind zwei Fig ...... che Streckungen ändern Längen.
@de
La similitudine è una , del pi ...... imili hanno la stessa "forma".
@it
Likformighet är inom geometri ...... så spegling inom likformighet.
@sv
Matematikan, bi irudi geometri ...... a aldatzen, baina tamaina bai.
@eu
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March 2021
@en
reason
Source does not mention similarity.
@en
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comment
2つの図形 F と G が相似（そうじ、英: similar ...... 本稿では r = 1 の場合も相似の定義に含めることとする。
@ja
Em geometria, duas figuras são ...... as pela sua posição e tamanho.
@pt
En géométrie euclidienne, une ...... nelle à la matrice transposée.
@fr
Es diu que entre dos objectes ...... mateixa i la mida és diferent.
@ca
Gelijkvormigheid is een begrip ...... ijkvormig, evenals hyperbolen.
@nl
In Euclidean geometry, two obj ...... uniform scaling of the other.
@en
In der Geometrie sind zwei Fig ...... die Möglichkeit der Streckung.
@de
La similitudine è una , del pi ...... imili hanno la stessa "forma".
@it
Likformighet är inom geometri ...... så spegling inom likformighet.
@sv
Matematikan, bi irudi geometri ...... a aldatzen, baina tamaina bai.
@eu
label
Antzekotasun (geometria)
@eu
Gelijkvormigheid (meetkunde)
@nl
Likformighet
@sv
Podobieństwo (przekształcenie geometryczne)
@pl
Podobnost (geometrie)
@cs
Semblança
@ca
Semejanza (geometría)
@es
Semelhança
@pt
Similarity (geometry)
@en
Simileco (geometrio)
@eo