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Morley's trisector theorem

In plane geometry, Morley's trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the first Morley triangle or simply the Morley triangle. The theorem was discovered in 1899 by Anglo-American mathematician Frank Morley. It has various generalizations; in…

Proofs, Morley's triangles & Related triangle centers

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Proofs

ProofsTrigonometricAlgebraicAlainConnes2004
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Morley's triangles

Trilinear coordinatesHomotheticIsogonal conjugateExtraversionPappus graph
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Related triangle centers

CentroidPerspectiveConcur
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Side and area

CircumradiusArea
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Morley's triangles

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Morley's trisector theorem

Nodes33
Edges32
Triples0
Avg. degree1.94
Density0.060606
Components1

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triangle displaystyle theorem morley's morley triangles angles equilateral circ 60 tfrac mathematical proofs similar doi beta gamma geometry three points

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