Difference between revisions of "Euclidean mapping"
From Online Dictionary of Crystallography
BrianMcMahon (talk | contribs) (Tidied translations and added German (U. Mueller)) |
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| − | <font color="blue">Transformation Euclidienne</font> (''Fr''). <font color="black">Transformazione Euclidiana</font> (''It''). <font color="purple">ユークリッド写像</font> (''Ja'') | + | <font color="blue">Transformation Euclidienne</font> (''Fr''). <font color="red">Euklidische Abbildung</font> (''Ge''). <font color="black">Transformazione Euclidiana</font> (''It''). <font color="purple">ユークリッド写像</font> (''Ja''). <font color="green">Transformación Euclidiana</font> (''Sp''). |
| − | The '''Euclidean mapping''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''. | + | The '''Euclidean mapping''' or '''isometry''' is a special case of [[affine mapping]] that, besides collinearity and ratios of distances, keeps also ''distances'' and ''angles''. Because of this, a Euclidean mapping is also called a ''rigid motion''. |
Euclidean mappings are of three types: | Euclidean mappings are of three types: | ||
Latest revision as of 09:45, 13 November 2017
Transformation Euclidienne (Fr). Euklidische Abbildung (Ge). Transformazione Euclidiana (It). ユークリッド写像 (Ja). Transformación Euclidiana (Sp).
The Euclidean mapping or isometry is a special case of affine mapping that, besides collinearity and ratios of distances, keeps also distances and angles. Because of this, a Euclidean mapping is also called a rigid motion.
Euclidean mappings are of three types:
- translations
- rotations
- reflections.
A special case of Euclidean mapping is a symmetry operation.