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- Sum_of_angles_of_a_triangle abstract "In several geometries, a triangle has three vertices and three sides, where three angles of a triangle are formed at each vertex by a pair of adjacent sides. In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180°, π radians, two right angles, or a half-turn. It was unknown for a long time whether other geometries exist, where this sum is different. The influence of this problem on mathematics was particularly strong during 19th century. Ultimately, the answer was proven to be positive: in other spaces (geometries) this sum can be greater or lesser, but it then must depend on the triangle. Its difference from 180° is a case of angular defect and serves as an important distinction for geometric systems.".
- Sum_of_angles_of_a_triangle thumbnail Angles_of_triangle_add_up_to_180_degrees.png?width=300.
- Sum_of_angles_of_a_triangle wikiPageID "5407025".
- Sum_of_angles_of_a_triangle wikiPageRevisionID "582550731".
- Sum_of_angles_of_a_triangle subject Category:Geometry.
- Sum_of_angles_of_a_triangle subject Category:Triangle_geometry.
- Sum_of_angles_of_a_triangle comment "In several geometries, a triangle has three vertices and three sides, where three angles of a triangle are formed at each vertex by a pair of adjacent sides. In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180°, π radians, two right angles, or a half-turn. It was unknown for a long time whether other geometries exist, where this sum is different.".
- Sum_of_angles_of_a_triangle label "Somme des angles d'un triangle".
- Sum_of_angles_of_a_triangle label "Sum of angles of a triangle".
- Sum_of_angles_of_a_triangle label "Trigésima segunda proposição de Euclides".
- Sum_of_angles_of_a_triangle sameAs Somme_des_angles_d'un_triangle.
- Sum_of_angles_of_a_triangle sameAs Trigésima_segunda_proposição_de_Euclides.
- Sum_of_angles_of_a_triangle sameAs m.0cc9xpf.
- Sum_of_angles_of_a_triangle sameAs Q7840113.
- Sum_of_angles_of_a_triangle sameAs Q7840113.
- Sum_of_angles_of_a_triangle wasDerivedFrom Sum_of_angles_of_a_triangle?oldid=582550731.
- Sum_of_angles_of_a_triangle depiction Angles_of_triangle_add_up_to_180_degrees.png.
- Sum_of_angles_of_a_triangle isPrimaryTopicOf Sum_of_angles_of_a_triangle.
