Let’s Go Both Ways—If-and-Only-If Proofs
Lecture no. 8 from the course: Prove It: The Art of Mathematical Argument
Taught by Professor Bruce H. Edwards | 31 min | Categories: The Great Courses Plus Online Mathematics Courses
Start with the simple case of an isosceles triangle, defined as having two equal sides or two equal angles. Discover that equal sides and equal angles apply to all isosceles triangles and are an example of an “if-and-only-if” theorem, which occurs throughout mathematics.