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Sehnenmittelpunktsfläche

English translation: chord midpoint area


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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
German term or phrase:Sehnenmittelpunktsfläche
English translation:chord midpoint area
Entered by: Catherine Knight
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14:53 Sep 9, 2011
German to English translations [PRO]
Tech/Engineering - Mathematics & Statistics / mathematical models
German term or phrase: Sehnenmittelpunktsfläche
I'm translating descriptions of historic and cultural artefacts, including the one pictured on this website:
http://www.uni-math.gwdg.de/modellsammlung/modell.php?KD=7&M...

It is described as:
"Die Sehnenmittelpunktsfläche einer Raumkurve 4. Ordnung, die die Gesamtheit der Mittelpunkte der Sehnen einer Kurve im Raum darstellt."

I think "Sehne" probably translates as "chord" here, but I'm quite sure how to translate the entire term and would be grateful for any help!
Catherine Knight
Germany
Local time: 00:58
Chord midpoint area
Explanation:
My best guess. Confidence in the "chord midpoint" part because of many google hits for it. But the fläche part...not sure about that. If it's a point, how can it have a surface/area/face??

Perhaps- the area that the chord midpoint is found in?
Selected response from:

rehtsep
United States
Local time: 15:58
Grading comment
Many thanks.
4 KudoZ points were awarded for this answer



Summary of answers provided
3center-surface of the chords a space curve of the 4th dimension
Willem Wunderink
2 +1Chord midpoint area
rehtsep


  

Answers


2 hrs   confidence: Answerer confidence 2/5Answerer confidence 2/5 peer agreement (net): +1
Chord midpoint area


Explanation:
My best guess. Confidence in the "chord midpoint" part because of many google hits for it. But the fläche part...not sure about that. If it's a point, how can it have a surface/area/face??

Perhaps- the area that the chord midpoint is found in?

Example sentence(s):
  • If we slide a chord of fixed length around any convex shape C so that the chord's midpoint traces out another figure D, the area between C and D doesn't depend on what shape we started with.
  • The rise is the distance from chord midpoint to arch crown C.

    Reference: http://www.ajdesigner.com/phpcircle/circle_segment_chord_t.p...
    Reference: http://teachers.henrico.k12.va.us/math/caracts/5problems/cho...
rehtsep
United States
Local time: 15:58
Native speaker of: Native in GermanGerman, Native in EnglishEnglish
PRO pts in category: 4
Grading comment
Many thanks.

Peer comments on this answer (and responses from the answerer)
agree  Willem Wunderink: Nice term, well done. The 'Fläche' is the theoretical surface where all midpoints find themnselves: don't forget it is a figure of the 4th dimension, so it can be an elliptic shape ball structure for example. '
2 days21 hrs
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2 hrs   confidence: Answerer confidence 3/5Answerer confidence 3/5
center-surface of the chords a space curve of the 4th dimension


Explanation:
What is meant is to my opinion the centre surface that represents all center points of the chords. Rather complicated material..... ;-)
PLs. also see the suggestion for the complete phrase below.

--------------------------------------------------
Note added at 2 uren (2011-09-09 17:15:46 GMT)
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Of course the title (Sehnenmittelpunktsfläche=) strictly taken should just read: center-surface of the chords

Example sentence(s):
  • The center-surface of the chords of a space curve of the 4th dimension, representing the whole of all centers of the chords of a curve in space.
Willem Wunderink
Netherlands
Local time: 00:58
Works in field
Native speaker of: Native in DutchDutch, Native in EnglishEnglish
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Changes made by editors
Sep 12, 2011 - Changes made by Catherine Knight:
Edited KOG entryCatherine Knight's old entry - "Sehnenmittelpunktsfläche" => "Chord midpoint area"


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