Show simple item record

A Trigonometrical Approach to Morley’s Observation

dc.creatorGasteratos, Ioannis
dc.creatorKuruklis, Spiridon
dc.creatorKuruklis, Thedore
dc.date2017-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1579
dc.identifier10.4067/S0719-06462017000200073
dc.descriptionSimple trigonometrical arguments verify that in a triangle the trisectors, proximal to sides respectively, meet at the vertices of an equilateral triangle by showing that the length of each side is 8R times the sines of the angles between the sides of the triangle and the trisectors that determine it, where R is the radius of the circumcircle of the triangle. The 27 meeting points of the trisectors, proximal to a side, determine 18 such equilaterals, which in pairs share a vertex having two collinear sides and the third parallel. Hence these points are located 6 by 6 on three triples of parallel lines.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1579/1433
dc.sourceCUBO, A Mathematical Journal; Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal; 73–85en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 19 Núm. 2 (2017): CUBO, A Mathematical Journal; 73–85es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectAngle trisectionen-US
dc.subjectproximal trisectoren-US
dc.subjecttriangle trisectorsen-US
dc.subjectMorley’s theoremen-US
dc.subjectMorley triangleen-US
dc.subjectMorley’s magicen-US
dc.subjectMorley’s miracleen-US
dc.subjectMorley’s mysteryen-US
dc.titleA Trigonometrical Approach to Morley’s Observationen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


This item appears in the following Collection(s)

Show simple item record