trihedron

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tri·he·dron

(trī-hē′drən)
n. pl. tri·he·drons or tri·he·dra (-drə)
A figure formed by three planes meeting at a point. Also called trihedral.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

trihedron

(traɪˈhiːdrən)
n, pl -drons or -dra (-drə)
(Mathematics) a figure determined by the intersection of three planes
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
Translations

trihedron

n → Dreiflächner m, → Trieder nt
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
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From [1], the edges of the Darboux trihedrons of parameter curves are
Here, three Darboux trihedrons are written as below:
The third elements [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] of the Darboux trihedrons [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]} and {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]} are linear dependent.
If we substitute the equation (3.9) in the first equality of (2.3) and consider the Darboux trihedrons of ([c.sub.1]) and ([c.sub.2]) we have
The Darboux trihedrons {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]} and {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]} of the parameters curves ([c.sub.1]) and ([c.sub.2]) of the time-like surface are written by Darboux instantaneous vectors as follows:
If we consider the Darboux trihedrons {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]}, we see that the normal vector [??] is coincide.
On the other hand, considering the Darboux trihedrons {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]} and {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]}, we write
If we consider any orthogonal trihedron as {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]}, we can write their derivative formulas as follows:
Another orthogonal frame on [??] = [??](u, v) is the Darboux trihedron as {[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]}.
These are metallic trihedrons (named "corner reflectors") with a side typically of 20-50 cm (see Figure 4).
Monitoring of civil infrastructures by interferometric radar: a review

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