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- Exterior_angle_theorem abstract "The exterior angle theorem (EAT) is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. This is a fundamental result in absolute geometry because its proof does not depend upon the parallel postulate.In several high school treatments of geometry, the term "exterior angle theorem" has been applied to a different result, namely the portion of Proposition 1.32 which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. This result, which depends upon Euclid's parallel postulate will be referred to as the "High school exterior angle theorem" (HSEAT) to distinguish it from Euclid's exterior angle theorem. Some authors refer to the "High school exterior angle theorem" as the strong form of the exterior angle theorem and "Euclid's exterior angle theorem" as the weak form.".
- Exterior_angle_theorem thumbnail Remint3.svg?width=300.
- Exterior_angle_theorem wikiPageID "19298354".
- Exterior_angle_theorem wikiPageLength "7929".
- Exterior_angle_theorem wikiPageOutDegree "28".
- Exterior_angle_theorem wikiPageRevisionID "677689856".
- Exterior_angle_theorem wikiPageWikiLink Absolute_geometry.
- Exterior_angle_theorem wikiPageWikiLink Category:Articles_containing_proofs.
- Exterior_angle_theorem wikiPageWikiLink Category:Theorems_in_plane_geometry.
- Exterior_angle_theorem wikiPageWikiLink Category:Triangle_geometry.
- Exterior_angle_theorem wikiPageWikiLink Compass-and-straightedge_construction.
- Exterior_angle_theorem wikiPageWikiLink Congruence.
- Exterior_angle_theorem wikiPageWikiLink Congruent.
- Exterior_angle_theorem wikiPageWikiLink Elliptic_geometry.
- Exterior_angle_theorem wikiPageWikiLink Elliptical_geometry.
- Exterior_angle_theorem wikiPageWikiLink Equator.
- Exterior_angle_theorem wikiPageWikiLink Euclids_Elements.
- Exterior_angle_theorem wikiPageWikiLink Exterior_angle.
- Exterior_angle_theorem wikiPageWikiLink File:Triangles_(spherical_geometry).jpg.
- Exterior_angle_theorem wikiPageWikiLink Foundations_of_geometry.
- Exterior_angle_theorem wikiPageWikiLink Great_circle.
- Exterior_angle_theorem wikiPageWikiLink Hyperbolic_geometry.
- Exterior_angle_theorem wikiPageWikiLink India.
- Exterior_angle_theorem wikiPageWikiLink Internal_and_external_angle.
- Exterior_angle_theorem wikiPageWikiLink Line_(geometry).
- Exterior_angle_theorem wikiPageWikiLink Logical_equivalence.
- Exterior_angle_theorem wikiPageWikiLink Logically_equivalent.
- Exterior_angle_theorem wikiPageWikiLink Maharashtra.
- Exterior_angle_theorem wikiPageWikiLink North_Pole.
- Exterior_angle_theorem wikiPageWikiLink Parallel_postulate.
- Exterior_angle_theorem wikiPageWikiLink Ray_(geometry).
- Exterior_angle_theorem wikiPageWikiLink Spherical_geometry.
- Exterior_angle_theorem wikiPageWikiLink Spherical_triangle.
- Exterior_angle_theorem wikiPageWikiLink Spherical_trigonometry.
- Exterior_angle_theorem wikiPageWikiLink Sum_of_angles_of_a_triangle.
- Exterior_angle_theorem wikiPageWikiLink Triangle.
- Exterior_angle_theorem wikiPageWikiLink United_States.
- Exterior_angle_theorem wikiPageWikiLink File:Remint3.svg.
- Exterior_angle_theorem wikiPageWikiLink File:Triangle_somme_des_angles.png.
- Exterior_angle_theorem wikiPageWikiLinkText "Exterior angle theorem".
- Exterior_angle_theorem wikiPageWikiLinkText "exterior angle theorem".
- Exterior_angle_theorem hasPhotoCollection Exterior_angle_theorem.
- Exterior_angle_theorem wikiPageUsesTemplate Template:Citation.
- Exterior_angle_theorem wikiPageUsesTemplate Template:Cite_book.
- Exterior_angle_theorem wikiPageUsesTemplate Template:Clear.
- Exterior_angle_theorem wikiPageUsesTemplate Template:Reflist.
- Exterior_angle_theorem subject Category:Articles_containing_proofs.
- Exterior_angle_theorem subject Category:Theorems_in_plane_geometry.
- Exterior_angle_theorem subject Category:Triangle_geometry.
- Exterior_angle_theorem hypernym Proposition.
- Exterior_angle_theorem type Article.
- Exterior_angle_theorem type Article.
- Exterior_angle_theorem type Proof.
- Exterior_angle_theorem type Theorem.
- Exterior_angle_theorem comment "The exterior angle theorem (EAT) is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.".
- Exterior_angle_theorem label "Exterior angle theorem".
- Exterior_angle_theorem sameAs Außenwinkelsatz.
- Exterior_angle_theorem sameAs Teorema_del_ángulo_exterior.
- Exterior_angle_theorem sameAs 外角定理.
- Exterior_angle_theorem sameAs Teorema_dos_ângulos_externos.
- Exterior_angle_theorem sameAs m.04ld_y0.
- Exterior_angle_theorem sameAs Q5421989.
- Exterior_angle_theorem sameAs Q5421989.
- Exterior_angle_theorem sameAs 外角定理.
- Exterior_angle_theorem wasDerivedFrom Exterior_angle_theorem?oldid=677689856.
- Exterior_angle_theorem depiction Remint3.svg.
- Exterior_angle_theorem isPrimaryTopicOf Exterior_angle_theorem.