A common misconception related to Problem 18 is assuming that joining the vertex ol an isosceles triangle with the bisection points on the base will trisect the vertex angle, thereby providing a compass/straight-edge construction of the trisectors of any angle. Create a convincing argument to dispel this notion. A simple example would be good. (Suggestion: If the construction were valid, then a right angle could be trisected this way. What are the angle measures involved, if such is the case? You can use your knowledge of Euclidean geometry here.)*See Problem 13, Section 3.5.
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