An Ancient Greek Problem: Can We Trisect an Angle with Ruler and Compass?
Abstract
Ancient Greek mathematics is considered to be the most important and basic foundation of modern mathematics. Many great mathematicians discovered theorems and formulas which are fundamental to modern mathematics. For example, most individuals learned the Pythagorean theorem in elementary school. Euclid’s Elements is known to be the greatest textbook in the history of math up until the 12th century. However, there were many other problems that cannot be solved; one of them is angle trisection. Trisection is the process of dividing something into three equal parts. Our goal was to prove the impossibility of trisection of an angle using only a ruler and compass.
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