These sketches arose from the following post:

Date: Thu, 14 Oct 1993 09:51:05 -0700 (PDT) From: Philip MallinsonThree sketches were submitted by Ken Koedinger of Carnegie Mellon. Two are solutions to the problem, and one is an illustration of the quadrature of a rectangle.Subject: Re: dshs-period two geom. class To: Dover-Sherborn High School Cc: geometry-pre-college@mathforum.org There's a great classic problem about geometry and hockey, football, soccer that was recently explored by Jon Choate in the Modeller's Corner in CoMAP's Consortium. As you are tearing down the wing with the ball towards the goal the angle subtended by the goal increases for a while and then decreases. When is the angle at its maximum? By the way, the difference between a good problem and a great problem is that in a great problem I know the answer and you don't.

Solution 1

Solution 2

Quadrature of a Rectangle

Download Quadrature of a Rectangle

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