Why Greek 3 Problems Restrict Using Only Unmarked Ruler and Compass

tomcircle's avatarMath Online Tom Circle

The 3 ancient Greek Problems are:
1. Trisect a Triangle
2. Square a circle
3. Doubling a Cube

Why restrict using only unmarked ruler ?
Answer: Using a Straight line: $latex boxed{ y = mx + c } $

Why a compass?
Answer: Using a Circle: $latex boxed{ x^2 + y^2 = r^2 }$

The 3 Greek Problems have been proven by 19th Century impossible to solve with only a straight line and a circle.

View original post

Unknown's avatar

Author: tomcircle

Math amateur

Leave a comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.