Mathematics is the science of those things that are clear in and of themselves. — Carl Jacobi
3L 5E solution
Given points A, B, and C, with C labeled and the choice of A and B arbitrary:
- Construct the perpendicular bisector of AB
- Construct line AB, intersecting its perpendicular bisector at D
- Construct line CD
Explanation
Two points are equidistant from any line drawn through the midpoint of those two points. Once the midpoint is determined, finish the construction by connecting it to point C.