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Eisenstein triple : ウィキペディア英語版
Eisenstein triple
Similar to a Pythagorean triple, an Eisenstein triple is a set of integers which are the lengths of the sides of a triangle where one of the angles is 60 degrees.
==Triangles with an angle of 60°==

Triangles with an angle of 60° are a special case of the Law of Cosines:〔Gilder, J., Integer-sided triangles with an angle of 60°," Mathematical Gazette 66, December 1982, 261 266〕〔Burn, Bob, "Triangles with a 60° angle and sides of integer length," Mathematical Gazette 87, March 2003, 148–153.〕〔Read, Emrys, "On integer-sided triangles containing angles of 120° or 60°", ''Mathematical Gazette'', 90, July 2006, 299–305.〕
:c^2 = a^2 - ab + b^2.
When the lengths of the sides are integers, the values form a set known as an Eisenstein triple.〔http://www2.edc.org/cme/showcase/slides.delaware.2006.pdf〕
Examples of Eisenstein triples include:〔http://www.had2know.com/academics/integer-triangles-60-degree-angle.html〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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