Affine geometry
In mathematics, affine geometry is what remains of Euclidean geometry, when not using (mathematicians often say "when forgetting") the metric notions of distance and angle. As the notion of parallel lines is one of the main properties that is independent of any metric, affine geometry is often considered as the study of parallel lines. Therefore, Playfair's axiom (given a line L and a point P not on L, there is exactly one line parallel to L that passes through P) is fundamental in affine geometry. Comparisons of figures in affine geometry are made with affine transformations, which are mappings that preserve alignment of points and parallelism of lines.
Affine geometry
In mathematics, affine geometry is what remains of Euclidean geometry, when not using (mathematicians often say "when forgetting") the metric notions of distance and angle. As the notion of parallel lines is one of the main properties that is independent of any metric, affine geometry is often considered as the study of parallel lines. Therefore, Playfair's axiom (given a line L and a point P not on L, there is exactly one line parallel to L that passes through P) is fundamental in affine geometry. Comparisons of figures in affine geometry are made with affine transformations, which are mappings that preserve alignment of points and parallelism of lines.
has abstract
25بك المحتوى هنا ينقصه الاستشه ...... لطول وزوايا في عملية توصيفها.
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45xCe modèle est-il pertinent ...... t des transformations affines.
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De affiene meetkunde is de mee ...... tulaat van Euclides niet meer.
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Die affine Geometrie ist eine ...... genschaften eingeführt werden.
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En la matemática, la geometría ...... asociado ignorando el origen.
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Geometria afim é a geometria q ...... dição nos Séculos XIX e vinte.
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Geometria afiniczna - geometri ...... grupą przekształceń rzutowych.
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In matematica, la geometria af ...... argo uso dell'algebra lineare.
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In mathematics, affine geometr ...... icle on the affine connection.
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Аффи́нная геоме́трия (лат. aff ...... роаффинная геометрия и другие.
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25بك المحتوى هنا ينقصه الاستشه ...... لطول وزوايا في عملية توصيفها.
@ar
45xCe modèle est-il pertinent ...... métrie affine, on peut citer :
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De affiene meetkunde is de mee ...... tulaat van Euclides niet meer.
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Die affine Geometrie ist eine ...... befasst, daher durchgehend al
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En la matemática, la geometría ...... grama Erlangen de Felix Klein.
@es
Geometria afim é a geometria q ...... dição nos Séculos XIX e vinte.
@pt
Geometria afiniczna - geometri ...... dstawowym odwzorowaniem tzw. .
@pl
In matematica, la geometria af ...... argo uso dell'algebra lineare.
@it
In mathematics, affine geometr ...... ints and parallelism of lines.
@en
Аффи́нная геоме́трия (лат. aff ...... роаффинная геометрия и другие.
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label
Affiene meetkunde
@nl
Affine Geometrie
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Affine geometry
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Geometria affine
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Geometria afim
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Geometria afiniczna
@pl
Geometría afín
@es
Géométrie affine
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Аффинная геометрия
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هندسة تآلفية
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