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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.
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]
Rank–nullity theorem (linear algebra) Rao–Blackwell theorem ; Rashevsky–Chow theorem (control theory) Rational root theorem (algebra, polynomials) Rationality theorem ; Ratner's theorems (ergodic theory) Rauch comparison theorem (Riemannian geometry) Rédei's theorem (group theory) Reeb sphere theorem
A congruence on an algebra is an equivalence relation that forms a subalgebra of considered as an algebra with componentwise operations. One can make the set of equivalence classes A / Φ {\displaystyle A/\Phi } into an algebra of the same type by defining the operations via representatives; this will be well-defined since Φ {\displaystyle ...
Start a discussion about improving the Thomsen's theorem page Talk pages are where people discuss how to make content on Wikipedia the best that it can be. You can use this page to start a discussion with others about how to improve the " Thomsen's theorem " page.
Today's spangram answer on Wednesday, December 11, 2024, is WOODWORKING. What Are Today’s NYT Strands Answers, Word List for Wednesday, December 11? SANDER. PLANE. CHISEL. JIGSAW. LATHE. VISE. DRILL
No. 10 Highest: New Hampshire. Living in New Hampshire, the cradle of New England, can seem idyllic until you look at property taxes. The average property tax rate is 1.25%.
The proof appeared in the same paper that proves the Erdős–Szekeres theorem on monotonic subsequences in sequences of numbers. Let f(N) denote the minimum M for which any set of M points in general position must contain a convex N-gon. It is known that f(3) = 3, trivially. f(4) = 5. [3] f(5) = 9. [4]
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