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I do not think that sum of parts applies here because it is very widely used and is quantifiable. This is a specific mathematical term that all dictionaries should have because of how widely used it is. I don't see how obtuse + angle is sum of parts because obtuse does not accurately describe an obtuse angle. Razorflame21:27, 9 April 2010 (UTC)Reply
Razorflame, have you read the respective definitions of obtuse angle and obtuse? How can “an angle that is greater than 90 degrees” really mean more than “of an angle: greater than 90 degrees” plus “angle?” Mglovesfun, what do you mean when you say these two words put together “functions as one word?” They function as two words, one referring to an “angle,” and the other describing it as “obtuse.”
Keep. obtuse—Of an angle: greater than 90 degrees but less than 180 degrees. The apparent sum-of-part-ness is achieved by passing the angle-specific meaning of "obtuse" into the "obtuse" entry. See also Talk:free variable. --Dan Polansky10:05, 10 April 2010 (UTC)Reply
So is, e.g., barking dog only apparently sum-of-parts, because it passes the dog-specific meaning of “barking” and the barking-specific meaning of “dog?” What about obtuse edge, obtuse arc, obtuse form and other usages of this obtuse? OED has an old citation which reads “Into two obtuser angles bended.” There are book titles “Explore Acute to Obtuse: Step-by-Step Beginning Geometry...” and “Obtuse and acute cornice mitres.” —MichaelZ. 2010-04-10 14:16 z
Michael, see word, definition one is a unit of language, it doesn't mention spacing. CFI doesn't make this distinction either, editor do, but it's not codified anywhere. It doesn't say "all word in all languages unless they have a space in them". Mglovesfun (talk) 10:10, 10 April 2010 (UTC)Reply
Then precisely which lexical words do you perceive in the phrase “angle is obtuse” (338 G.B. matches). It appears to me that obtuse behaves as a normal adjective, not only as a component of the phrase “obtuse angle.” —MichaelZ. 2010-04-10 14:16 z
I admit that we need the sense in both "obtuse" and "obtuse angle", just like we need a sense both in "complex" and "complex number". A list of cases, given in Talk:free variable: algebraic number, algebraic integer, bound variable, cardinal number, complex number, free variable, imaginary number, rational number, real number, transcendental number, free software, open set, closed set, complete graph, normal distribution. ---Dan Polansky09:42, 19 April 2010 (UTC)Reply
Added 3 Citations:obtuse#Of_an_angle, showing how it is extended to things having such an angle. Note that obtuse has both a mathematical/geometric sense and a physical/topological sense, and perhaps a grey area between. Cf. citations in reflex—MichaelZ. 2010-04-10 16:39 z
OED has a note “Freq. in obtuse angle” under the headword obtuse, adj., and three citations of this sense without that collocation. Maybe we need a spare “form-of” entry for “obtuse angle: common collocation of obtuse.” —MichaelZ. 2010-04-11 15:06 z
'Weak keep. The geometry definition added by Majac to (deprecated template usage)reflex begins "of an angle". If reflex in this sense is only ever used with angle, then this is a set phrase as should be kept. The usual, expected adjective in English would be reflexed, so this looks like a case for keeping, based on the available evidence. --EncycloPetey03:11, 10 April 2010 (UTC)Reply
It mainly refers to angles, but it is not found only in the phrase. —MichaelZ. 2010-04-10 03:27 z
1878, James Maurice Wilso, Elementary Geometry, London: MacMillan, p 10:
A polygon is said to be convex when no one of its angles is reflex.
Comment.This b.g.c. hit is a recent example of reflex, in this sense, outside the collocation reflex angle. But I'm not familiar enough with this term to say for sure whether such usage is normal idiomatic English. —RuakhTALK14:42, 10 April 2010 (UTC)Reply
Added some citations to reflex. Its application seems to be extended to geometrical entities having such an angle. Note that reflex also means concave, and there may be a grey area between the mathematical/geometric sense and physical/topological sense. —MichaelZ. 2010-04-10 16:39 z