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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 ...
5 6.474691495 0 2 3 0 0 0 0 9 6 0 90.000° triangular dipyramid: 6 9.985281374 0 0 6 0 0 0 0 12 8 0 90.000° octahedron: 7 14.452977414 0 0 5 2 0 0 0 15 10 0 72.000° pentagonal dipyramid: 8 19.675287861 0 0 8 0 0 0 0 16 8 2 71.694° square antiprism: 9
Ax–Grothendieck theorem (model theory) Barwise compactness theorem (mathematical logic) Borel determinacy theorem ; Büchi-Elgot-Trakhtenbrot theorem (mathematical logic) Cantor–Bernstein–Schröder theorem (set theory, cardinal numbers) Cantor's theorem (set theory, Cantor's diagonal argument) Church–Rosser theorem (lambda calculus)
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]
Midpoint theorem (triangle) Mollweide's formula; Morley's trisector theorem; N. ... Thomsen's theorem This page was last edited on 2 June 2024, at 17:31 (UTC). Text ...
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.
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 ]