WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

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
.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.