Re: [HM] "Dramatically Simple"
David Fowler (david.fowler@warwick.ac.uk)
Thu, 22 Apr 1999 10:28:16 +0100
>The following problem appeared in the American Math. Monthly 16 years ago:
>
>Let A and B the midpoints of the sides EF and ED of an equilateral triangle
>DEF. Extend AB to meet the circumcircle of DEF at C. Show that B divides AC
>according to the golden section.
>-- George Odom, AMM 90(1983) 482; Solution: 93(1986) 572
Once you see the point of Odom's construction, you easily see this variation:
Stick two squares together along one side AB. Draw the circumcircle around
the resulting 2x1 rectangle. Extend AB to meet the circle in C.
David Fowler