# n-Sectors of the Angles of a Triangle

n-Sectors of the Angles of a Triangle

The -sectors of an angle are the lines that divide the angle into equal parts. In a triangle, the bisectors are collinear, the trisectors lead to Morley's theorem, …. More modestly, this Demonstration provides a way to count the intersection points of the -sectors of the angles of a triangle as a function of , which is for a scalene triangle.

n

n

n

n

3-6n-+2

2

n

n

(-1)