Perform an experiment in reasoning to see if the theorem illustrated in Problem 4 is actua...

Perform an experiment in reasoning to see if the theorem illustrated in Problem 4 is actually true. Try an argument beginning with the statement, "If P lies on the circle with diameter and M is the center of that circle, then MA = MB = MP, and two isosceles triangles are formed." What follows from this?

1Exact sources for all references to book and articles appear in the bibliography (appendix A)