Construction of Euclidean Triangle
- Author:
- Heather Pierce
Follow the steps below to see how Euclid proved that it is possible to construct an equilateral triangle on any given line segment.
Let's interpret points as points in the plane with rational coordinates. Nothing in Euclid's original definitions or axioms prevents this. Suppose A = (0, 0) and B = (1, 0). Is this construction still possible? Why or why not?