Trigonometric Proof of Steiner-lehmus Theorem in Hyperbolic Geometry
نویسنده
چکیده
In this note, we present a short trigonometric proof to the Steiner Lehmus Theorem in hyperbolic geometry. 2000 Mathematics Subject Classification: 30F45, 20N99, 51B10, 51M10
منابع مشابه
A Short Trigonometric Proof of the Steiner-Lehmus Theorem
We give a short trigonometric proof of the Steiner-Lehmus theorem. The well known Steiner-Lehmus theorem states that if the internal angle bisectors of two angles of a triangle are equal, then the triangle is isosceles. Unlike its trivial converse, this challenging statement has attracted a lot of attention since 1840, when Professor Lehmus of Berlin wrote to Sturm asking for a purely geometric...
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متن کاملResearch Summary
In my doctoral dissertation (directed by W. P. Thurston) I studied the geometry of convex polyhedra in hyperbolic 3-space H3, and succeeded in producing a geometric characterization of dihedral angles of compact convex polyhedra by reducing the question to a convex isometric embedding problem in the De Sitter sphere, and resolving this problem. In particular, this produced a simple alternative ...
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تاریخ انتشار 2010