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Thomsen's theorem, = 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. Consider an arbitrary triangle ABC with a point P 1 on its edge BC.
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 problems 3 and 4. 1st problem [ edit ]
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]
1 0 0 27 18 0 58.540° edge-contracted icosahedron: 12 49.165253058 0 0 0 12 0 0 0 30 20 0 63.435° icosahedron (geodesic sphere {3,5+} 1,0) 13 58.853230612 0.008820367 0 1 10 2 0 0 33 22 0 52.317° 14 69.306363297 0 0 0 12 2 0 0 36 24 0 52.866° gyroelongated hexagonal dipyramid
Kodaira vanishing theorem (complex manifold) Koebe 1/4 theorem (complex analysis) Kolmogorov extension theorem (stochastic processes) Kolmogorov's three-series theorem (mathematical series) Kolmogorov–Arnold representation theorem (real analysis, approximation theory) Kolmogorov–Arnold–Moser theorem (dynamical systems) König's theorem ...
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 ]
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.
The pons asinorum in Oliver Byrne's edition of the Elements [1]. In geometry, the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ ˈ p ɒ n z ˌ æ s ɪ ˈ n ɔːr ə m / PONZ ass-ih-NOR-əm), Latin for "bridge of asses", or more descriptively as the isosceles triangle theorem.