ABSTRACT
When we compare Euclidean constructions to constructions applying other sets of rules, one point of particular interest is how the rules measure up when applied to the various construction problems that have been on mathematicians’ minds since antiquity. Some of these problems, such as the squaring of the circle or the trisection of general angles, are now known to be impossible to solve using Euclidean methods, but they may be solved by applying other rules of construction. Others, such as determining tangent lines of conics, are known to be quite straightforward when applying Euclidean methods, and may or may not be accessible by other methods, depending on the definition of the rules.
