On Fri, 12 Jul 2013 09:04:06 -0600, Wayne Bishop <firstname.lastname@example.org> wrote:
> Bhaskara's famous "'Behold!" proof of the Pythagorean theorem comes to > mind. This is one of those nice arguments where, in a sense, > everybody's right and >everybody's wrong, depending on your > perspective. To "behold" anything about the picture requires a fair bit > of mathematical background. Once again, Khan >shows us why he is such a > great antidote for the poison of dy/Dan (he would do well to check with > the mathematics department at Stanford instead of the anti->mathematics > department). > https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/bhaskara-s-proof-of-pythagorean-theorem-avi >
And, although the fix is clear, there's a slight logical difficulty with the presentation you linked to: In that presentation, one constructs the right triangle from a square whose side becomes a hypotenuse. For logically correct presentation, one should begin with the right triangle, and then construct the square.
--Louis A. Talman Department of Mathematical and Computer Sciences Metropolitan State University of Denver