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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 ...
Tesla's stock price reached $420 on Wednesday afternoon, which elicited responses from social media users and the company's CEO, Elon Musk. "As foretold in the prophecy," Musk wrote in an X post ...
The happy ending theorem can be proven by a simple case analysis: if four or more points are vertices of the convex hull, any four such points can be chosen. If on the other hand, the convex hull has the form of a triangle with two points inside it, the two inner points and one of the triangle sides can be chosen.
Every week in the NFL season brings a host of new questions … and answers some old ones, too. Let’s run down what we learned in Week 11 … and what we’ll be wondering about in Week 12 and ...
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%.
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