trisector$540869$ - meaning and definition. What is trisector$540869$
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What (who) is trisector$540869$ - definition

THEOREM
Morley trisector theorem; Morley's trisection theorem; Morley triangle; Morley's triangle; Morley's Miracle
  • Fig 1.   Elementary proof of Morley's trisector theorem
  • If each vertex angle of the outer triangle is trisected, Morley's trisector theorem states that the purple triangle will be equilateral.

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.
Trisect         
  • Bieberbach's trisection of an angle (in blue) by means of a right triangular ruler (in red)
  • p. 186}}
  • left
  • Sylvester's Link Fan
  • A tomahawk trisecting an angle. The tomahawk is formed by the thick lines and the shaded semicircle.
  • Trisection of the angle using marked ruler
  • left
CONSTRUCTION OF AN ANGLE EQUAL TO ONE THIRD A GIVEN ANGLE
Trisecting the angle; Trisection of an angle; Trisection of the angle; Trisecting an angle; Trisecting angles; Trisection; Trisection of angle; Trisection of any angle; Trisecting an arbitrary angle; Trisections of an angle; Trisect every angle; Trisect any angle; Trisect an angle; Trisect angles; Trisect an arbitrary angle; Trisected angle; Angle trisector; Trisect; Trisecting the Angle; Trisect the angle
·vt To cut or divide into three parts.
II. Trisect ·vt To cut or divide into three equal parts.
trisect         
  • Bieberbach's trisection of an angle (in blue) by means of a right triangular ruler (in red)
  • p. 186}}
  • left
  • Sylvester's Link Fan
  • A tomahawk trisecting an angle. The tomahawk is formed by the thick lines and the shaded semicircle.
  • Trisection of the angle using marked ruler
  • left
CONSTRUCTION OF AN ANGLE EQUAL TO ONE THIRD A GIVEN ANGLE
Trisecting the angle; Trisection of an angle; Trisection of the angle; Trisecting an angle; Trisecting angles; Trisection; Trisection of angle; Trisection of any angle; Trisecting an arbitrary angle; Trisections of an angle; Trisect every angle; Trisect any angle; Trisect an angle; Trisect angles; Trisect an arbitrary angle; Trisected angle; Angle trisector; Trisect; Trisecting the Angle; Trisect the angle
[tr??'s?kt]
¦ verb divide into three parts.
Derivatives
trisection noun
trisector noun
Origin
C17: from tri- + L. sect-, secare 'divide, cut'.

Wikipedia

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 particular, if all of the trisectors are intersected, one obtains four other equilateral triangles.