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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.
In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.
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]
This category has the following 3 subcategories, out of 3 total. T. Theorems about special triangles (2 C, 2 P) ... Thomsen's theorem This page was last ...
A hacker gained access to an online secure document-sharing file between attorneys involved in a civil lawsuit brought by a close friend of former Rep. Matt Gaetz, according to sources familiar ...
Second, one of No. 3 Texas and No. 15 Texas A&M loses once before then winning the rivalry game to end November. Then, all of No. 9 Alabama, No. 11 Mississippi, No. 22 LSU and Missouri win out.
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin( α + β ) = sin α cos β + cos α sin ...
President-elect Donald Trump has not yet submitted a series of transition agreements with the Biden administration, in part because of concerns over the mandatory ethics pledge vowing to avoid ...