Feb 8, 2018 14:58
6 yrs ago
2 viewers *
German term
Geradenspiegelung
German to English
Science
Mathematics & Statistics
This is used in a book on mathematics. It is included in a glossary of terms, in this case under "Achse". It is used twice:
Bei einer Geradenspiegelung in der Ebene oder bei der Symmetrieachse einer Figur spricht man kurz von "Achse".
and
Statt Achsenspiegelung sagt man auch Geradenspiegelung.
My question is whether there is a differentiation in English between "Achsenspiegelungen" and "Geradenspiegelungen", since I have only found a translation for the former (axial reflection). If there is, can anyone help me with a term, please?
Bei einer Geradenspiegelung in der Ebene oder bei der Symmetrieachse einer Figur spricht man kurz von "Achse".
and
Statt Achsenspiegelung sagt man auch Geradenspiegelung.
My question is whether there is a differentiation in English between "Achsenspiegelungen" and "Geradenspiegelungen", since I have only found a translation for the former (axial reflection). If there is, can anyone help me with a term, please?
Proposed translations
(English)
4 +1 | reflection | Herbmione Granger |
Proposed translations
+1
8 hrs
Selected
reflection
Geradespiegelung is another word for Achsenspiegelung. A distinguishing description could be "reflection about a straight line," but this is unnatural and doesn't seem appropriate for a textbook glossary.
https://www.studimup.de/abitur/geometrie/spiegelung/
Bei der Achsenspiegelung wird eine Figur an einer Achse bzw. Geraden, gespiegelt. Diese Gerade wird dann Spiegelachse genannt...
Die Punktspiegelung ist der Achsenspiegelung ähnlich, nur dass anstatt an einer Geraden, an einem Punkt gespiegelt wird.
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Note added at 18 hrs (2018-02-09 09:18:54 GMT)
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I think I explained this badly. As we saw, if you casually encounter the words Achsenspiegelung and Geradenspiegelung and they are new to you, it may not be clear that they refer to the same thing. With any reasonable English translation of the two words, the sameness would be obvious and not worth mentioning.
I would call them both "reflection," if necessary "reflection across a line (in a plane)," and Punktspiegelung as "point reflection" or one of its synonyms.
https://www.mathsisfun.com/geometry/reflection.html
https://en.wikipedia.org/wiki/Reflection_(mathematics)
https://en.wikipedia.org/wiki/Point_reflection
https://www.studimup.de/abitur/geometrie/spiegelung/
Bei der Achsenspiegelung wird eine Figur an einer Achse bzw. Geraden, gespiegelt. Diese Gerade wird dann Spiegelachse genannt...
Die Punktspiegelung ist der Achsenspiegelung ähnlich, nur dass anstatt an einer Geraden, an einem Punkt gespiegelt wird.
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Note added at 18 hrs (2018-02-09 09:18:54 GMT)
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I think I explained this badly. As we saw, if you casually encounter the words Achsenspiegelung and Geradenspiegelung and they are new to you, it may not be clear that they refer to the same thing. With any reasonable English translation of the two words, the sameness would be obvious and not worth mentioning.
I would call them both "reflection," if necessary "reflection across a line (in a plane)," and Punktspiegelung as "point reflection" or one of its synonyms.
https://www.mathsisfun.com/geometry/reflection.html
https://en.wikipedia.org/wiki/Reflection_(mathematics)
https://en.wikipedia.org/wiki/Point_reflection
Peer comment(s):
agree |
D. I. Verrelli
: The OT seems to be 'clarifying' that reflection is done across a (straight-line) axis-of-symmetry. There is no other way to achieve a reflection, so this makes sense in a description/explanation/discussion, but not in the name of the operation.
21 days
|
4 KudoZ points awarded for this answer.
Comment: "Thank you for your help."
Discussion
(BTW: I use double entendre her facetiously...)
I would distinguish "axis of reflection" and "axis of symmetry." The contrast is in the first sentence but not clear (not a parallel sentence structure).
http://www.mathwords.com/a/axis_symmetry.htm
Suggestion: Mirror images are reflected across an axis of reflection. A symmetric figure has an axis of symmetry.
Axis of Reflection
The "mirror line" of a reflection. That is, the line across which a reflection takes place.
http://sdmath.com//math/geometry/reflection_across_line.html
https://de.wikipedia.org/wiki/Spiegelung_(Geometrie)
Eine Achsenspiegelung (auch Geradenspiegelung) ist durch eine Gerade a (Spiegelachse oder kurz Achse) gegeben.
I think the main problem is with Achse. I don't believe "mirror axis" is common in EN, so you would need to change the text quite a bit.
See: Achsenspiegelung