Euclid Challenge - Trisection Of Any Angle By Straightedge And Compass

Successful Response by Milton Mintz

May 10, 2002

Page 4: Trisection of Any Angle by Straightedge and Compass

Note 1:

Basic range of angles	Adjustment before trisection	Range of angles after adjustment	Adjustment after trisection
Between:		Between:
1. 0º - 22½º	Add 22½º	22½º - 45º	Trisection minus 7½º
2. 22½º - 45º	None	22½º - 45º	None
3. 45º - 90º	Bisect angle	22½º - 45º	Trisection X 2
4. 90º - 180º	Take ¼ of angle	22½º - 45º	Trisection X 4

Note 2:

EXAMPLE ANGLE: 30º
Since 60º is a frequent test angle, the above 30º example was used
so that the resulting trisection could be doubled.