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Thomsen's theorem, named after Gerhard Thomsen, is a theorem in elementary geometry. It shows that a certain path constructed by line segments being parallel to the edges of a triangle always ends up at its starting point.
Example 2: = + ... He is really interested in problems 3 and 4, but the answers to the easier problems 1 and 2 are needed for proving the answers to ...
Thomsen's theorem This page was last edited on 2 June 2024, at 17:31 (UTC). Text is available under the Creative Commons Attribution-ShareAlike 4.0 License ...
Thompson uniqueness theorem (finite groups) Thomsen's theorem ; Thue's theorem (Diophantine equation) Thue–Siegel–Roth theorem (Diophantine approximation) Tietze extension theorem (general topology) Tijdeman's theorem (Diophantine equations) Tikhonov fixed-point theorem (functional analysis) Time hierarchy theorem (computational complexity ...
Thomsen wrote 22 papers on various topics in geometry and furthermore a few papers on theoretical physics as well. The latter were mostly written in Italian rather than in German. Thomsen also wrote a book on the foundations of elementary geometry. [1] In elementary geometry Thomsen's theorem is named after him. [5]
If in the affine version of the dual "little theorem" point is a point at infinity too, one gets Thomsen's theorem, a statement on 6 points on the sides of a triangle (see diagram). The Thomsen figure plays an essential role coordinatising an axiomatic defined projective plane. [ 6 ]
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Louis Melville Milne-Thomson CBE FRSE RAS (1 May 1891 – 21 August 1974) was an English applied mathematician who wrote several classic textbooks on applied mathematics, including The Calculus of Finite Differences, Theoretical Hydrodynamics, and Theoretical Aerodynamics.