Multisecting an Angle Using Archimedes's Spiral

n

2

3

4

5

6

angle

2.8416

This Demonstration shows how to multisect an angle using Archimedes's spiral.

Let

α

be an angle that we want to section into

n

equal parts. Let one side of the angle be

OK

and let

P

be the point of intersection of the second side with the spiral. Construct the point

R

on

OP

such that

|OR|=|OP|/n

. Find the point of intersection

T

of the circle with center

O

and radius

OR

with the spiral. Then

∡KOT=α/n

.