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In the section on exterior angles I had inserted the phrase "can be unambiguously defined" in reference to interior angles. I did this because in elliptic geometry three noncollinear points do not determine a unique triangle and you must redefine what a triangle is before you can talk about interior
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In the section on hyperbolic geometry there was a parenthetical remark about why the equidistant postulate fails. While this was ok, it used the word parallel (in quotes) and since parallel in this context can have several meanings I thought it would be better to replace the statement by something
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In the equidistant postulate statement a parenthetical definition was given. I wasn't happy with the way this was phrased, so I changed it. Apparently my change was a bit awkward and it got changed to something which missed the point that I was trying to make (that is, I was looking for a succinct
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always sum to a full turn (360°). Because each interior angle is the supplement of the corresponding exterior angle (the two sum to a straight angle, 180°), it is not too hard to figure out a formula for the sum of the interior angles in any simple polygon based on the number of sides: It must be
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can be non-convex), so Iâd not say that they are âunambiguously definedâ without an explication. BTW, the non-convex case makes exterior angles negative â IMHO we have either explain this case or explicitly avoid considering it.
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way to say that it doesn't matter which point on either line you pick, its distance to the other line is the same). Perhaps it is better to say less than more in this instance, so my latest edit is intended to simplify.
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387:. The three letter difference with the first option does not seem to be worth the effort. I strongly oppose option 2 as it is modern jargon that does not inform the reader of the content.--
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I have no objections about 1. and 2. As for 3. yes, there are clauses related to interior angles for spherical geometry (as for any non-convex polygon, but only in the elliptic case a
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What is a sum of triangle? Sum of triangle is 180 Because of is half of triangle is formed by the 90° and the full triangle of is 180° That means sum of triangle is 180°
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The Pruss book cited (of which I am the author) is not a mathematics book. It would be better to have a citation to a mathematics book that has a proof of the claim.
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anglesâbut once this is done everything goes as before. Perhaps I am being a bit too picky for the level at which this article is currently written.
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Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a
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The result of the move request was: No consensus apparent for a move. Many folks voiced option 3 (current) to be fine â
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There isn't really any effort involved. I thought it would be better to have less "of"s in the title.
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Knowledge. If you would like to participate, please visit the project page, where you can join
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I've made a couple of changes that need more of an explanation than can fit in an edit summary.
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Subsequent comments should be made in a new section on this talk page or in a
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Reference to equivalence of parallel postulate and
Pythagoras' theorem
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It would be nice to see here why these propositions are true.
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to me, and "triangle postulate" is way too technical.
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The above discussion is preserved as an archive of a
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